Persons: Teretenkov, Aleksandr Evgenevich

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Teretenkov, Aleksandr Evgenevich

Total publications:	37 (36)
in MathSciNet:	28 (28)
in zbMATH:	18 (18)
in Web of Science:	30 (30)
in Scopus:	34 (34)
Cited articles:	32
Citations:	249
Presentations:	193

Number of views:
This page:	6273
Abstract pages:	5602
Full texts:	687
References:	428

Candidate of physico-mathematical sciences (2018)

Speciality:

01.04.02 (Theoretical physics)

E-mail:

Keywords:

Irreversible quantum evolution, Gorini-Kossakowski-Sudarshan-Lindblad equation, exactly solvable models, non-Markovian evolution.

UDC:

517.958, 536-12

MSC:

81S22, 82C31, 81Q05

Subject:

1. Irreversible quantum evolution with quadratic generators.

2. Exactly solvable models of non-Markovian quantum evolution.

3. General problems of theory of open quantum systems.

Main publications:

Alexander Teretenkov, Oleg Lychkovskiy, “Exact dynamics of quantum dissipative XX models: Wannier–Stark localization in the fragmented operator space”, Phys. Rev. B, 109:14 (2024), 140302 , 7 pp., arXiv: 2405.17310 ;
A. E. Teretenkov, “Singular value decomposition for skew-Takagi factorization with quantum applications”, Linear Multilinear Algebra, 70:22 (2022), 7762–7769
Tomasz Linowski, Alexander Teretenkov, Łukasz Rudnicki, “Dissipative evolution of quantum Gaussian states”, Phys. Rev. A, 106:5 (2022), 52206 , 12 pp., arXiv: 2105.12644 ;
Alexander E. Teretenkov, “Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit”, J. Phys. A, 54:26 (2021), 265302, 265302 , 24 pp., arXiv: 2008.02820 ;
A. E. Teretenkov, “Irreversible quantum evolution with quadratic generator: Review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 19300019 , 26 pp., arXiv: 1912.13083

https://www.mathnet.ru/eng/person76513

https://scholar.google.com/citations?user=mH8vCikAAAAJ&hl=en

https://zbmath.org/authors/ai:teretenkov.alexander-e

https://mathscinet.ams.org/mathscinet/MRAuthorID/1059318

https://elibrary.ru/author_items.asp?authorid=960469

ISTINA

https://istina.msu.ru/workers/36786006

https://orcid.org/0000-0003-4389-8669

https://publons.com/researcher/1906305

https://www.webofscience.com/wos/author/record/L-4560-2018

https://www.scopus.com/authid/detail.url?authorId=55543003800

https://www.researchgate.net/profile/Alexander_Teretenkov

https://arxiv.org/a/teretenkov_a_1

inSPIRE personal page (High Energy Physics (HEP) information system)

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	Kh. Sh. Meretukov, A. E. Teretenkov, “On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems”, Proc. Steklov Inst. Math., 324 (2024), 135–152 , arXiv: 2307.00607
2.	Ranjit Singh, Alexander E. Teretenkov, “Quantum sensitivity of squeezed Schrodinger cat states”, Physics Open, 18 (2024), 100198 , 4 pp. ;	1 ^[x]
3.	Alexander Evgen'evich Teretenkov, “Superoperator master equations and effective dynamics”, Entropy, 26:1 (2024), 14 , 24 pp. ;	1 ^[x]
4.	Alexander Teretenkov, Oleg Lychkovskiy, “Exact dynamics of quantum dissipative XX models: Wannier–Stark localization in the fragmented operator space”, Phys. Rev. B, 109:14 (2024), 140302 , 7 pp., arXiv: 2405.17310 ;	3 ^[x]
5.	A. E. Teretenkov, “Superoperator master equations for depolarizing dynamics”, Lobachevskii J. Math., 45:6 (2024), 2615–2627 , arXiv: 2404.06595 ;
6.	Alexander Teretenkov, Oleg Lychkovskiy, “Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars”, Phys. Rev. B, 110 (2024), 241105 , 8 pp. ;

2023
7.	A E. Teretenkov, “Quantum Markovian Dynamics after the Bath Correlation Time”, Computational Mathematics and Mathematical Physics, 63:1 (2023), 135–145
8.	A. Yu. Karasev, A. E. Teretenkov, “Time-convolutionless master equations for composite open quantum systems”, Lobachevskii J. Math., 44:6 (2023), 2051–2064 , arXiv: 2304.08627 ;	4 ^[x]
9.	Alexander Evgen'evich Teretenkov, “Memory tensor for non-Markovian dynamics with random Hamiltonian”, Mathematics, 11:18 (2023), 3854 , 19 pp. ;	2 ^[x]

2022
10.	A. E. Teretenkov, “Singular value decomposition for skew-Takagi factorization with quantum applications”, Linear Multilinear Algebra, 70:22 (2022), 7762–7769	2 ^[x]
11.	A. E. Teretenkov, “Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels”, Linear Multilinear Algebra, 70:9 (2022), 1673–1681 , arXiv: 1909.00838 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?2019arXiv190900838T$	1 ^[x]
12.	D. D. Ivanov, A. E. Teretenkov, “Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type”, Math. Notes, 112:2 (2022), 318–322 , arXiv: 2203.01472
13.	Alexander Evgen'evich Teretenkov, “Effective Gibbs State for Averaged Observables”, Entropy, 24:8 (2022), 1144–22 , arXiv: 2110.14407 ;	7 ^[x]
14.	Iu. A. Nosal, A. E. Teretenkov, “Higher Order Moments Dynamics for Some Multimode Quantum Master Equations”, Lobachevskii J. Math., 43:7 (2022), 1726–1739 , arXiv: 2204.02502 ;	4 ^[x]
15.	A. E. Teretenkov, “Effective Heisenberg equations for quadratic Hamiltonians”, Int. J. Mod. Phys. A, 37:20-21 (2022), 243020 , 13 pp., arXiv: 2202.00826 ;	7 ^[x]
16.	Luigi Accardi, Andreas Boukas, Yun-Gang Lu, Alexander Teretenkov, “The Non–linear and Quadratic Quantization Programs”, Infinite Dimensional Analysis, Quantum Probability and Applications, International Conference on Quantum Probability & Related Topics 2021, Springer Proc. Math. Statist., 390, Springer, Cham, 2022, 3–53 ;	1 ^[x]
17.	Tomasz Linowski, Alexander Teretenkov, Łukasz Rudnicki, “Dissipative evolution of quantum Gaussian states”, Phys. Rev. A, 106:5 (2022), 52206 , 12 pp., arXiv: 2105.12644 ;	10 ^[x]
18.	Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov, “On the diagonalizability and factorizability of quadratic boson fields”, J. Stoch. Anal., 3:4 (2022), 2 , 24 pp. ;

2021
19.	A. E. Teretenkov, “An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations”, Proc. Steklov Inst. Math., 313 (2021), 236–245
20.	Alexander E. Teretenkov, “Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit”, J. Phys. A, 54:26 (2021), 265302, 265302 , 24 pp., arXiv: 2008.02820 ;	17 ^[x]
21.	A. E. Teretenkov, “Long-time Markovianity of multi-level systems in the rotating wave approximation”, Lobachevskii J. Math., 42:10 (2021), 2455–2465 , arXiv: 2105.02443	6 ^[x]
22.	Matematika kvantovykh tekhnologii, Sbornik statei, Trudy MIAN, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, MIAN, M., 2021 , 296 pp.

2020
23.	A. E. Teretenkov, “Dynamics of Moments of Arbitrary Order for Stochastic Poisson Compressions”, Math. Notes, 107:4 (2020), 695–698 , arXiv: 1909.10454
24.	Yu. A. Nosal, A. E. Teretenkov, “Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type”, Math. Notes, 108:6 (2020), 911–915 , arXiv: 2004.12598
25.	A. E. Teretenkov, “Exact Non-Markovian Evolution with Several Reservoirs”, Phys. Part. Nucl., 51:4 (2020), 479–484
26.	A. E. Teretenkov, “One-particle approximation as a simple playground for irreversible quantum evolution”, Discontin. Nonlinearity Complex., 9:4 (2020), 567–577 , arXiv: 1912.13123 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?2019arXiv191213123T$ ;	3 ^[x]
27.	A. E. Teretenkov, “Integral Representation of Finite Temperature non-Markovian Evolution of Some Systems in Rotating Wave Approximation”, Lobachevskii J. Math., 41:12 (2020), 2397–2404 , arXiv: 2003.13993	2 ^[x]

2019
28.	A. E. Teretenkov, “Dynamics of Moments for Quadratic GKSL Generators”, Math. Notes, 106:1 (2019), 151–155
29.	A. E. Teretenkov, “Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes”, Proc. Steklov Inst. Math., 306 (2019), 242–256 , arXiv: 1904.01430
30.	A. E. Teretenkov, “Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate”, Lobachevskii J. Math., 40:10 (2019), 1587–1605 , arXiv: 1904.07365	12 ^[x]
31.	A. E. Teretenkov, “Irreversible quantum evolution with quadratic generator: Review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 19300019 , 26 pp., arXiv: 1912.13083	34 ^[x]

2017
32.	Math. Notes, 101:2 (2017), 341–351
33.	S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021 , 19 pp., arXiv: 1612.00213	11 ^[x]
34.	A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Math. Notes, 102:6 (2017), 846–854

2016
35.	A. E. Teretenkov, “Quadratic Dissipative Evolution of Gaussian States”, Math. Notes, 100:4 (2016), 642–646

2014
36.	Alexander M. Chebotarev, Alexander E. Teretenkov, “Singular value decomposition for the Takagi factorization of symmetric matrices”, Appl. Math. Comput., 234 (2014), 380–384 ;	19 ^[x]

2012
37.	A. M. Chebotarev, A. E. Teretenkov, “Operator-Valued ODEs and Feynman's Formula”, Math. Notes, 92:6 (2012), 837–842

Presentations in Math-Net.Ru

1.	От дуальностей между открытыми системами и изолированными двуслойными системами к квантовым многочастичным шрамам A. E. Teretenkov Mathematics in Quantum Technologies — 2024 December 13, 2024 11:00
2.	Lecture 14. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 10, 2024 13:10
3.	Lecture 13. Weak coupling limit: Derivation of master equations at the physical level of rigor A. E. Teretenkov Foundations of the theory of open quantum systems December 3, 2024 13:10
4.	Lecture 12. Decoherence-free subsystems and subspaces. GKSL equation and averaging with respect classical Levy processes. Weak coupling limit A. E. Teretenkov Foundations of the theory of open quantum systems November 26, 2024 13:10
5.	Lecture 11. Decoherence-free subalgebra as commutant. Canonical form of GKS generator with decoherence-free subalgebra A. E. Teretenkov Foundations of the theory of open quantum systems November 19, 2024 13:10
6.	Lecture 10. Monotonicity of quantum relative entropy. Elements of resource theory. Decoherence-free subalgebras A. E. Teretenkov Foundations of the theory of open quantum systems November 12, 2024 13:10
7.	Lecture 9. Quantum relative entropy A. E. Teretenkov Foundations of the theory of open quantum systems November 5, 2024 13:10
8.	О точной динамике квантовых XX моделей с диссипацией A. E. Teretenkov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 31, 2024 11:00
9.	Lecture 8. Instruments and regression formulae. Generator of completely positive semigroup A. E. Teretenkov Foundations of the theory of open quantum systems October 29, 2024 13:10
10.	Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations A. E. Teretenkov Foundations of the theory of open quantum systems October 22, 2024 13:10
11.	Lecture 6. Relationship between longitudinal and transverse relaxation times. Resonance fluorescence. Mollow spectrum. Generalized Bloch equations A. E. Teretenkov Foundations of the theory of open quantum systems October 15, 2024 13:10
12.	Lecture 5. Dynamics of 2-level system. Bloch equations in external field, in equilibrium reservoir and in case of pure dephasing A. E. Teretenkov Foundations of the theory of open quantum systems October 8, 2024 13:10
13.	Lecture 4. Heisenberg picture for open systems. GKSL generator of classical diffusion type. Classical and quantum regression formulae A. E. Teretenkov Foundations of the theory of open quantum systems October 1, 2024 13:10
14.	Lecture 3. Decoherence and Lorentzian spectrum. Pure dephasing. Pauli master equation. Monotonicity of classical relative entropy A. E. Teretenkov Foundations of the theory of open quantum systems September 24, 2024 13:10
15.	Lecture 2. Selective and non-selective measurements. Unitary dynamics. GKSL generator in generic case A. E. Teretenkov Foundations of the theory of open quantum systems September 17, 2024 13:10
16.	Closing A. E. Teretenkov Conference "Quantum optics and related topics" September 11, 2024 18:20
17.	Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics A. E. Teretenkov Foundations of the theory of open quantum systems September 10, 2024 13:10
18.	Multimode quantum master equations: linear dynamics beyond quadratic generators A. E. Teretenkov Conference "Quantum optics and related topics" September 4, 2024 12:20
19.	Супероператорные кинетические уравнения в теории открытых квантовых систем A. E. Teretenkov International conference “Theory of Functions, Operator Theory and Quantum Information Theory” June 9, 2024 16:05
20.	Lecture 14. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems May 6, 2024 13:10
21.	Lecture 13. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 29, 2024 13:10
22.	Lecture 12. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 22, 2024 13:10
23.	Lecture 11. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 15, 2024 13:10
24.	О некоторых направлениях развития проекционных методов в теории открытых квантовых систем A. E. Teretenkov Seminar on Quantum Probability, Statistics, Information April 8, 2024 16:20
25.	Lecture 10. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 8, 2024 13:10
26.	Lecture 9. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 1, 2024 13:10
27.	Lecture 8. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 25, 2024 13:10
28.	Супероператорные линейные кинетические уравнения с гиперпроектором усреднения по унитарной группе A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" March 20, 2024 18:00
29.	Lecture 7. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 18, 2024 13:10
30.	Lecture 6. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 11, 2024 13:10
31.	Lecture 5. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 4, 2024 13:10
32.	Lecture 4. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 26, 2024 13:10
33.	Lecture 3. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 19, 2024 13:10
34.	Lecture 2. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 12, 2024 13:10
35.	Lecture 1. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 5, 2024 13:10
36.	Lecture 13. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 12, 2023 13:10
37.	Lecture 12. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 5, 2023 13:10
38.	Lecture 11. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 28, 2023 13:10
39.	Lecture 11. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 21, 2023 13:10
40.	О проекционных методах и об измерении разности энергий A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" November 8, 2023 18:00
41.	Lecture 9. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 7, 2023 13:10
42.	Lecture 8. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 31, 2023 13:10
43.	Lecture 7. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 24, 2023 13:10
44.	Lecture 6. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 17, 2023 13:10
45.	Lecture 5. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 10, 2023 13:10
46.	Lecture 4. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 3, 2023 13:10
47.	Lecture 3. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 26, 2023 13:10
48.	Lecture 2. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 19, 2023 13:10
49.	Closed dynamics of moments for quantum master equations A. E. Teretenkov Conference "Workshop on exactly solvable models of open quantum systems" September 11, 2023 15:50
50.	Lecture 1. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 5, 2023 13:10
51.	Methods for description of open quantum system dynamics based on the thermodynamical approach Kh. Meretukov, A. E. Teretenkov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 10, 2023 13:35
52.	Off-line Poster session A. V. Pavlov, A. F. Posadsky, A. V. Rezbayev, A. Karasev, A. E. Teretenkov, Wang Yu, Cheng Shiyao III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 10, 2023 12:45
53.	On development of projection methods for master equation derivation A. E. Teretenkov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 5, 2023 15:05
54.	Master equations for composite open quantum systems A. E. Teretenkov International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 2, 2023 11:30
55.	Lecture 14. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems May 16, 2023 10:00
56.	Lecture 13. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems May 2, 2023 10:00
57.	Lecture 12. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 25, 2023 10:00
58.	Possibilities of Chat GPT for science A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" April 19, 2023 18:45
59.	Lecture 11. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 18, 2023 10:00
60.	Lecture 10. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 11, 2023 10:00
61.	Квантовая теория открытых систем A. E. Teretenkov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 6, 2023 11:00
62.	Lecture 9. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 4, 2023 10:00
63.	Lecture 8. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 28, 2023 10:00
64.	Lecture 7. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 21, 2023 10:00
65.	Open quantum systems theory as the science of identifying a system in its environment A. E. Teretenkov Steklov Mathematical Institute Seminar March 16, 2023 16:00
66.	Lecture 6. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 14, 2023 10:00
67.	Lecture 5. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 7, 2023 10:00
68.	On relation between exact and Markovian correlation functions for unitary dynamics with random Hamiltonian A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" March 1, 2023 18:00
69.	Lecture 4. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 28, 2023 10:00
70.	On relation between exact and Markovian correlation functions for unitary dynamics with random Hamiltonian A. E. Teretenkov One-Parameter Semigroups of Operators (OPSO 2023) February 27, 2023 12:00
71.	Lecture 3. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 21, 2023 10:00
72.	Lecture 2. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 14, 2023 10:00
73.	Lecture 1. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 7, 2023 10:00
74.	Lecture 13. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 13, 2022 10:00
75.	Exact dynamics of moments of arbitrary order in the problems of open quantum systems theory A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" December 7, 2022 18:00
76.	Quantum linear kinetic equations for the system and reservoir A. E. Teretenkov Mathematics in Quantum Technologies — 2022 December 6, 2022 14:45
77.	Lecture 12. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 6, 2022 10:00
78.	Lecture 11. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 29, 2022 10:00
79.	Effective equilibrium states and effective dynamics of quantum systems A. E. Teretenkov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2022 November 23, 2022 16:40
80.	Lecture 10. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 22, 2022 10:00
81.	Markovianity and semigroups A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" November 16, 2022 18:30
82.	Lecture 9. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 15, 2022 10:00
83.	Hyperprojectors and master equations for quantum dynamical maps A. E. Teretenkov International Conference "New Trends in Mathematical Physics" November 12, 2022 12:30
84.	Lecture 8. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 1, 2022 10:00
85.	Lecture 7. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 25, 2022 10:00
86.	Exact dynamics of moments of arbitrary order in the problems of open quantum systems theory A. E. Teretenkov International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 21, 2022 11:00
87.	Lecture 6. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 18, 2022 10:00
88.	Lecture 5. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 11, 2022 10:00
89.	Lecture 4. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 4, 2022 10:00
90.	Lecture 3. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 27, 2022 10:00
91.	Lecture 2. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 20, 2022 10:00
92.	Lecture 1. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 13, 2022 10:00
93.	On effective quantum dynamics A. E. Teretenkov Complex Analysis and Related Topics (satelllite of ICM-2022) July 1, 2022 18:00
94.	Lecture 29. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems May 16, 2022 11:35
95.	On two interacting quantum harmonic oscillators A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" May 11, 2022 18:00
96.	Lecture 28. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems May 2, 2022 11:35
97.	Lecture 27. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 25, 2022 11:35
98.	Lecture 26. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 18, 2022 11:35
99.	Lecture 25. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 11, 2022 11:35
100.	Lecture 24. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems April 4, 2022 11:35
101.	Lecture 23. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 28, 2022 11:35
102.	Lecture 22. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 21, 2022 11:35
103.	Asymptotics of the Fourier transform by Jordan's lemma and Paley-Wiener theorem A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" March 16, 2022 18:00
104.	Lecture 21. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 14, 2022 11:35
105.	Lecture 20. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems March 7, 2022 11:35
106.	Lecture 19. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 28, 2022 11:35
107.	Lecture 18. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 21, 2022 11:35
108.	Perturbative expansion of thermodynamical effective Hamiltonian A. E. Teretenkov One-Parameter Semigroups of Operators (OPSO) 2022 February 16, 2022 16:00
109.	Lecture 17. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 14, 2022 11:35
110.	Lecture 2. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 8, 2022 10:00
111.	Lecture 1. Foundations of the theory of open quantum systems II A. E. Teretenkov Foundations of the theory of open quantum systems February 1, 2022 10:00
112.	Lecture 14. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems December 14, 2021 10:00
113.	Effective Gibbs state for averaged observables A. E. Teretenkov International Youth Workshop "Mathematical Methods in the Problems of Quantum Technologies" December 7, 2021 14:45
114.	Lecture 13. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 30, 2021 10:00
115.	Lecture 12. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 23, 2021 10:00
116.	Lecture 11. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 16, 2021 10:00
117.	Lecture 10. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 9, 2021 10:00
118.	Hamiltonian of mean force A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" November 3, 2021 18:00
119.	Lecture 9. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems November 2, 2021 10:00
120.	Lecture 8. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 26, 2021 10:00
121.	Lecture 7. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 19, 2021 10:00
122.	Lecture 6. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 12, 2021 10:00
123.	Эффективное равновесное состояние для резонансных наблюдаемых A. E. Teretenkov Function Theory, Operator Theory and Quantum Information Theory October 5, 2021 18:05
124.	Lecture 5. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems October 5, 2021 10:00
125.	Perturbation theory for effective Gibbs state A. E. Teretenkov International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich September 28, 2021 17:15
126.	Lecture 4. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 28, 2021 10:00
127.	Effective equilibrium state for resonance observables A. E. Teretenkov Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics" September 22, 2021 18:00
128.	Lecture 3. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 21, 2021 10:00
129.	Lecture 2. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 14, 2021 10:00
130.	Lecture 1. Foundations of the theory of open quantum systems I A. E. Teretenkov Foundations of the theory of open quantum systems September 7, 2021 10:00
131.	On application of skew-Takagi factorization to fermionic squeezing operators A. E. Teretenkov International Conference on Algebra, Analysis and Geometry - 2021 August 24, 2021 16:00
132.	Quantum Markovian dynamics after bath correlation time A. E. Teretenkov Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021 July 2, 2021 15:30
133.	Lecture 12. Mean field master equations A. E. Teretenkov Foundations of the theory of open quantum systems May 11, 2021 10:00
134.	Lecture 11. Quantum Boltzmann equation A. E. Teretenkov Foundations of the theory of open quantum systems May 4, 2021 10:00
135.	Lecture 10. Example of time-convolutionless master equation A. E. Teretenkov Foundations of the theory of open quantum systems April 27, 2021 10:00
136.	Lecture 9. Time-convolutionless master equation A. E. Teretenkov Foundations of the theory of open quantum systems April 20, 2021 10:00
137.	Lecture 8. Caldeira–Leggett model. Nakajima–Zwanzig projection method A. E. Teretenkov Foundations of the theory of open quantum systems April 13, 2021 10:00
138.	Master equations in all orders of perturbation theory with Bogolubov-van Hove scaling A. E. Teretenkov One-Parameter Semigroups of Operators (OPSO) 2021 April 7, 2021 13:25
139.	Lecture 7. Exactly solvable model of multi-level system with several reservoirs A. E. Teretenkov Foundations of the theory of open quantum systems April 6, 2021 10:00
140.	Lecture 6. Pseudomode approach A. E. Teretenkov Foundations of the theory of open quantum systems March 23, 2021 10:00
141.	Lecture 5. Quadratic dynamics avareged over Poisson process. Spin-boson in rotating wave approximation A. E. Teretenkov Foundations of the theory of open quantum systems March 16, 2021 10:00
142.	Lecture 4. Fermionic quadratic GKSL generators A. E. Teretenkov Foundations of the theory of open quantum systems March 9, 2021 10:00
143.	Lecture 3. Gaussian solutions. Different forms of equations for moments dynamics A. E. Teretenkov Foundations of the theory of open quantum systems March 2, 2021 10:00
144.	Lecture 2. First and second moments dynamics for quadratic generator A. E. Teretenkov Foundations of the theory of open quantum systems February 16, 2021 10:00
145.	Lecture 1. Linear and quadratic forms in bosonic creation and annihilation operators A. E. Teretenkov Foundations of the theory of open quantum systems February 9, 2021 10:00
146.	Lecture 13. Other limits leading to GKSL equation A. E. Teretenkov Foundations of the theory of open quantum systems December 15, 2020 10:00
147.	Lecture 12. Quantum detailed balance A. E. Teretenkov Foundations of the theory of open quantum systems December 8, 2020 10:00
148.	Lecture 11. Weak coupling limit A. E. Teretenkov Foundations of the theory of open quantum systems December 1, 2020 10:00
149.	Lecture 10. GKSL equations arising as averaging over classical stochastic processes A. E. Teretenkov Foundations of the theory of open quantum systems November 24, 2020 10:00
150.	Reduced quantum dynamics in all orders of perturbation theory with Bogolubov-van Hove scaling Alexander Teretenkov Workshop "New Trends in Mathematical Physics" November 17, 2020 16:00
151.	Lecture 9. Monotonicity of quantum relative entropy A. E. Teretenkov Foundations of the theory of open quantum systems November 17, 2020 10:00
152.	Lecture 8. The generator of one-parametric completely positive trace preserving semigroup A. E. Teretenkov Foundations of the theory of open quantum systems November 10, 2020 10:00
153.	Perturbative and non-perturbative phenomena in Bogolubov - van Hove approach A. E. Teretenkov Conference on Mathematical Methods for Quantum Technologies November 2, 2020 17:15
154.	Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations A. E. Teretenkov Foundations of the theory of open quantum systems October 27, 2020 10:00
155.	Lecture 6. GKSL and constraints on relaxation times relations. Mollow spectrum. Generalized Bloch equations A. E. Teretenkov Foundations of the theory of open quantum systems October 20, 2020 10:00
156.	Lecture 5. 2-level system under external field. Dissipation in equilibrium reservoir and pure dephasing A. E. Teretenkov Foundations of the theory of open quantum systems October 13, 2020 10:00
157.	Lecture 4. Multi-time correlation function. Lamb equation and optical potential. Unitary dynamics of q-bit A. E. Teretenkov Foundations of the theory of open quantum systems October 6, 2020 10:00
158.	Lecture 3. Pauli equation. Classical time-continuous Markov chains and monotonicity of relative entropy A. E. Teretenkov Foundations of the theory of open quantum systems September 29, 2020 10:00
159.	Lecture 2. GKSL equation. Shroedinger and Heisenberg representations for irreversible dynamics. Description of decoherence and transfer. Lorentz spectrum A. E. Teretenkov Foundations of the theory of open quantum systems September 22, 2020 10:00
160.	Lecture 1. States and observables in quantum mechanics. Selective and non-selective measurements. Unitary dynamics A. E. Teretenkov Foundations of the theory of open quantum systems September 15, 2020 10:00
161.	Лекция 10. Кинетические уравнения в старших порядках теории возмущений. Нестандартные проекторы A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" May 18, 2020
162.	Лекция 9. Кинетические уравнения во втором порядке теории возмущений на примере точно-решаемой модели A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" April 29, 2020
163.	Лекция 8. Уравнение Накажимы-Цванцига. Метод устранения временной свёртки A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" April 22, 2020
164.	Лекция 7. Немарковская квантовая динамика A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" April 15, 2020
165.	Лекция 6. Нелинейные квантовые марковские уравнения A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" March 27, 2020
166.	Лекция 5. Предельное поведение решений уравнений ГКСЛ с квадратичными генераторами. Динамика моментов в случае пуассоновских скачков A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" March 20, 2020 18:00
167.	Лекция 4. Фермионная необратимая динамика с квадратичным генератором A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" March 13, 2020 18:00
168.	Лекция 3. Гауссовские состояния. Одномерный затухающий квантовый осциллятор A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" March 6, 2020 18:00
169.	Лекция 2. Необратимая квантовая динамика с квадратичным генератором A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" February 28, 2020 18:00
170.	Анализ квантовой немарковской динамики на примере точно решаемой модели A. E. Teretenkov Seminar on Quantum Probability, Statistics, Information February 27, 2020 13:00
171.	Лекция 1. Вычисления с линейными и квадратичными формами по операторам рождения и уничтожения. Случай бозонных мод A. E. Teretenkov Course by A. Ye. Teretenkov "Foundations of open quantum systems theory" February 14, 2020 18:00
172.	Необратимая квантовая динамика с квадратичным генератором A. E. Teretenkov Seminar of the Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of RAS February 13, 2020 14:00
173.	Лекция 11. Квантовые условия детального баланса. Вид генератора ГКСЛ, удовлетворяющего этим условиям A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory November 29, 2019 18:00
174.	Comparison of equations for exact and approximate non-Markovian evolution A. E. Teretenkov Third Youth Workshop "Mathematical Methods in the Problems of Quantum Technologies" November 25, 2019 16:10
175.	Лекция 10. Генераторы ГКСЛ, возникающие в пределе слабой связи, сингулярной связи и низкой плотности A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory November 22, 2019 18:00
176.	Лекция 9. Генератор вполне положительной полугруппы. Квантовая теория Перрона - Фробениуса. Генератор ГКСЛ и классические случайные процессы A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory November 15, 2019 18:00
177.	Лекция 8.Квантовая относительная энтропия и её свойства. Доказательство монотонности относительной энтропии A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory November 8, 2019 18:00
178.	Лекция 7. Вполне положительные отображения. Сохранение следа и унитальность. Соответствие Чоя-Ямилковского. Представление Крауса. Представление Стайнспринга A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory October 25, 2019 18:00
179.	Лекция 6.Резонансная флуоресценция. Спектр Моллоу. Обобщённые матрицы Гелл-Манна. Обобщённые уравнения Блоха. Свойства спектра уравнения ГКСЛ A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory October 18, 2019 18:00
180.	Лекция 5. Кубит во внешнем классическом поле. Вращающаяся система координат. Релаксация кубита в бозонном равновесном резервуаре. Чистая дефазировка A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory October 11, 2019
181.	Лекция 4. Уравнение Лэмба и оптический потенциал. Унитарная динамика кубита. Уравнение Блоха A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory October 4, 2019
182.	Лекция 3. Описание декогерентности и переноса в рамках уравнения ГКСЛ. Лоренцевский спектр. Кинетическое уравнение Паули. Монотонность относительной энтропии в классическом случае A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory September 27, 2019
183.	Лекция 2. Теорема Вигнера. Уравнение ГКСЛ в форме Линдблада и в форме Коссаковского. Квантовый аналог уравнения Фоккера-Планка. Абстрактное дифференцирование. Представления Шрёдингера и Гейзенберга для необратимой динамики A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory September 20, 2019
184.	Лекция 1. Основы теории открытых квантовых систем. Матрица плотности. Чёткие квантовые измерения: селективные и неселективные; проекционный постулат фон Неймана–Людерса. Классические распределения как частный случай квантовых. Квантовая и классическая энтропия A. E. Teretenkov A.E. Teretenkov. Fundamentals of open quantum systems Theory September 13, 2019
185.	Exact non-Markovian evolution with several reservoirs A. E. Teretenkov International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 9, 2019 17:30
186.	Немарковская динамика и деформации квантовых марковских цепей A. E. Teretenkov Quantum physics and quantum information November 20, 2018 11:15
187.	Pseudomode method and deformation approach to quantum non-Markovian evolution A. E. Teretenkov Internaional conference «Modern Mathematical Physics. Vladimirov-95» November 14, 2018 17:30
188.	Exactly solvable problems of irreversible quantum evolution A. E. Teretenkov International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday September 13, 2018 16:30
189.	Точно решаемые задачи необратимой квантовой эволюции A. E. Teretenkov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 12, 2018 11:00
190.	Exactly solvable problems of irreversible quantum evolution A. E. Teretenkov Quantum physics and quantum information March 20, 2018 11:00
191.	Точно решаемые задачи необратимой квантовой эволюции A. E. Teretenkov Seminar on Quantum Probability, Statistics, Information March 12, 2018 16:30
192.	Двумерная оптическая спектроскопия двухуровневой системы A. E. Teretenkov Mathematical problems of quantum theory of nanosystems and photosynthesis September 17, 2015 15:00
193.	On the normal form of multimode squeezings A. M. Chebotarev, T. V. Tlyachev, A. E. Teretenkov, V. V. Belokurov International conference "QP 34 – Quantum Probability and Related Topics" September 17, 2013 12:00

Books in Math-Net.Ru

Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, 2021, 296 с.
http://mi.mathnet.ru/book1832

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