Condensed matter theory, quantum information theory
Main publications:
O. Lychkovskiy, O. Gamayun, V. Cheianov, “Timescale for adiabaticity breakdown in
driven many-body systems and orthogonality catastrophe”, Phys. Rev. Lett., 119 (2017), 200401
O. Lychkovskiy, “Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid”, Phys. Rev. A, 91 (2015), 040101
O. Gamayun, O. Lychkovskiy, and V. Cheianov, “Kinetic theory for a mobile impurity in a degenerate
Tonks-Girardeau gas”, Phys. Rev. E, 90 (2014), 032132
O. Lychkovskiy, “Dependence of decoherence-assisted classicality on the way a system is partitioned into
subsystems”, Phys. Rev. A, 87 (2013), 022112
O. Lychkovskiy, “Necessary condition for the thermalization of a quantum system coupled to a quantum
bath”, Phys. Rev. E, 82 (2010), 012028
I. V. Ermakov, O. V. Lychkovskiy, “Effect of Dephasing on the Current through a Periodically Driven Quantum Point Contact”, JETP Letters, 119 (2024), 40–45
2.
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.
N. Il'in, A. Aristova, O. Lychkovskiy, “Quantum speed limits for an open system in contact with a thermal bath”, Phys. Rev. A, 110 (2024), 22203 , 10 pp., arXiv: 2302.13639;
4.
O. Lychkovskiy, “Entangling problem Hamiltonian for adiabatic quantum computation”, Lobachevskii J. Math., 43:7 (2022), 1704–1710;
5.
Oleksandr Gamayun, Oleg Lychkovskiy, “Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations”, SciPost Phys., 12 (2022), 175 , 14 pp. ;
Oleksandr V. Gamayun, Oleg V. Lychkovskiy, “A Map between Time-Dependent and Time-Independent Quantum Many-Body Hamiltonians”, Proc. Steklov Inst. Math., 313 (2021), 41–51
7.
Oleksandr Gamayun, Artur Slobodeniuk, Jean-Sébastien Caux, Oleg Lychkovskiy, “Nonequilibrium phase transition in transport through a driven quantum point contact”, Phys. Rev. B, 103 (2021), 41405 , 19 pp., arXiv: 2006.02400;
N. Il'in, O. Lychkovskiy, “Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond”, Internat. J. Theoret. Phys., 60 (2021), 640–649 , arXiv: 1805.04083;
Ivan V. Dudinets, Igor Ermakov, Oleg Lychkovskiy, “Testing eigenstate decoherence hypothesis in a model of collisional decoherence”, EPL, 134:6 (2021), 60004 , 7 pp. ;
10.
Nikolai Il'in, Anastasia Aristova, Oleg Lychkovskiy, “Adiabatic theorem for closed quantum systems initialized at finite temperature”, Phys. Rev. A, 104:3 (2021), L030202 , 10 pp., arXiv: 2002.02947;
N. Il'in, E. Shpagina, O. Lychkovskiy, “Thermodynamics at zero temperature: Inequalities for the ground state of a quantum many-body system”, Phys. Lett. A, 414 (2021), 127637 , 5 pp. ;
12.
Oleg Lychkovskiy, “Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra”, SciPost Phys., 10:6 (2021), 124 , 15 pp., arXiv: 2012.00388;
Oleksandr Gamayun, Oleg Lychkovskiy, Mikhail B. Zvonarev, “Zero temperature momentum distribution of an impurity in one-dimensional Fermi and Tonks–Girardeau gases”, SciPost Phys., 8 (2020), 53 , 37 pp. ;
E. Shpagina, F. Uskov, N. Il'in, O. Lychkovskiy, “Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries”, J. Phys. A, 53 (2020), 75301 , 10 pp. ;
Oleg Lychkovskiy, “A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit”, J. Stat. Phys., 178 (2020), 1028–1038;
F. Uskov, O. Lychkovskiy, “A variational lower bound on the ground state of a many-body system and the squaring parametrization of density matrices”, JPCS, 1163 (2019), 12057 , 9 pp., arXiv: 1902.09246
N. Il'in, E. Shpagina, F. Uskov, O. Lychkovskiy, “Squaring parametrization of constrained and unconstrained sets of quantum states”, J. Phys. A, 51 (2018), 85301 , 19 pp., arXiv: 1704.03861
Oleksandr Gamayun, Oleg Lychkovskiy, Evgeni Burovski, Matthew Malcomson, Vadim V. Cheianov, Mikhail B. Zvonarev, “Impact of the Injection Protocol on an Impurity’s Stationary State”, Phys. Rev. Lett., 120:22 (2018), 220605 , 6 pp.
Vera V. Vyborova, Oleg Lychkovskiy, Alexey N. Rubtsov, “Droplet formation in a one-dimensional system of attractive spinless fermions”, Phys. Rev. B, 98 (2018), 235407
O. Gamayun, O. Lychkovskiy, V. Cheianov, “Reply to ‘Comment on ’Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas’’”, Phys. Rev. E, 92 (2015), 016102 , 2 pp.
O. Gamayun, O. Lychkovskiy, V. Cheianov, “Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas”, Phys. Rev. E, 90 (2014), 032132 , 12 pp.
E. Burovski, V. Cheianov, O. Gamayun, O. Lychkovskiy, “Momentum relaxation of a mobile impurity in a one-dimensional quantum gas”, Phys. Rev. A, 89 (2014), 041601 , 5 pp.
O. Lychkovskiy, “Dependence of decoherence-assisted classicality on the way a system is partitioned into subsystems”, Phys. Rev. A, 87 (2013), 022112 , 7 pp.
B. Leggio, O. Lychkovskiy, A. Messina, “On the merit of a Central Limit Theorem-based approximation in statistical physics”, J. Stat. Phys., 146 (2012), 1274–1287
36.
J. Exp. Theor. Phys., 114:3 (2012), 382–391
37.
O. Lychkovskiy, “Entanglement and Relaxation in Exactly Solvable Models”, Optics and Spectroscopy, 111 (2011), 713–721
38.
O. Lychkovskiy, “Entanglement, decoherence and thermal relaxation in exactly solvable models”, J. Phys. Conf. Ser., 306 (2011), 012028 , 7 pp.
O. Lychkovskiy, S. Blinnikov, M. Vysotsky, “TeV-scale bileptons, see-saw type II and lepton flavor violation in core-collapse supernova”, Eur. Phys. J. C, 67 (2010), 213-237
A. D. Dolgov, O. V. Lychkovskiy, A. A. Mamonov, L. B. Okun, M. G. Schepkin, “Neutrino wave function and oscillation suppression”, Eur. Phys. J. C, 44 (2005), 431–434
A. D. Dolgov, O. V. Lychkovskiy, A. A. Mamonov, L. B. Okun, M. V. Rotaev, M. G. Schepkin, “Oscillations of neutrinos produced and detected in crystals”, Nucl. Phys. B, 729 (2005), 79–94
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