T. G. Ho, H. Araki, “Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic $XY$-chain”, Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 203–216; Proc. Steklov Inst. Math., 228 (2000), 191

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 228, Pages 203–216 (Mi tm501)

This article is cited in 55 scientific papers (total in 55 papers)

Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic

$XY$ -chain

T. G. Ho^ab, H. Araki^b

^a Tokyo University of Science
^b European Union Science and Technology Research Fellow

Full-text PDF (203 kB) Citations (55)

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Abstract: The system under consideration is that of a two-sided infinite isotropic

$XY$ -chain partitioned into two distinct regions. Each side is initially in thermal equilibrium. We investigate the situation when the partition is removed at time

$t=0$ . For $t\rightarrow\infty the system approaches thermal equilibrium if the two sides were at the same temperature. If initially the two sides were at different temperatures then the system approaches a steady state.

Received in September 1999

Bibliographic databases:

UDC: 531.19

Language: English

Citation: T. G. Ho, H. Araki, “Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic

$XY$ -chain”, Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 203–216; Proc. Steklov Inst. Math., 228 (2000), 191–204

Citation in format AMSBIB

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\by T.~G.~Ho, H.~Araki

\paper Asymptotic Time Evolution of a~Partitioned Infinite Two-sided Isotropic $XY$-chain

\inbook Problems of the modern mathematical physics

\bookinfo Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov

\serial Trudy Mat. Inst. Steklova

\yr 2000

\vol 228

\pages 203--216

\publ Nauka, MAIK «Nauka/Inteperiodika»

\publaddr M.

\mathnet{http://mi.mathnet.ru/tm501}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782582}

\zmath{https://zbmath.org/?q=an:1034.82008}

\transl

\jour Proc. Steklov Inst. Math.

\yr 2000

\vol 228

\pages 191--204

Linking options:

https://www.mathnet.ru/eng/tm501

https://www.mathnet.ru/eng/tm/v228/p203

This publication is cited in the following 55 articles:

Yamaga K., “Work Relation in Non-Equilibrium Steady States of One-Dimensional Quantum Lattice Systems”, J. Math. Phys., 62:1 (2021), 013302
Aschbacher W.H., “Heat Flux in General Quasifree Fermionic Right Mover/Left Mover Systems”, Rev. Math. Phys., 33:06 (2021), 2150018
Myers J., Bhaseen M.J., Harris R.J., Doyon B., “Transport Fluctuations in Integrable Models Out of Equilibrium”, SciPost Phys., 8:1 (2020), 007
Cornean H.D., Moldoveanu V., Pillet C.-A., “A Mathematical Account of the Negf Formalism”, Ann. Henri Poincare, 19:2 (2018), 411–442
Bastianello A., Doyon B., Watts G., Yoshimura T., “Generalized Hydrodynamics of Classical Integrable Field Theory: the Sinh-Gordon Model”, SciPost Phys., 4:6 (2018), 045
Gawedzki K., Langmann E., Moosavi P., “Finite-Time Universality in Nonequilibrium CFT”, J. Stat. Phys., 172:2, SI (2018), 353–378
Gransee M., Pinamonti N., Verch R., “Kms-Like Properties of Local Equilibrium States in Quantum Field Theory”, J. Geom. Phys., 117 (2017), 15–35
Kormos M., Zimboras Z., “Temperature Driven Quenches in the Ising Model: Appearance of Negative Renyi Mutual Information”, J. Phys. A-Math. Theor., 50:26 (2017), 264005
Langmann E., Lebowitz J.L., Mastropietro V., Moosavi P., “Time Evolution of the Luttinger Model With Nonuniform Temperature Profile”, Phys. Rev. B, 95:23 (2017), 235142
Doyon B., Spohn H., “Dynamics of Hard Rods With Initial Domain Wall State”, J. Stat. Mech.-Theory Exp., 2017, 073210
Spillane M., Herzog Ch.P., “Relativistic hydrodynamics and non-equilibrium steady states”, J. Stat. Mech.-Theory Exp., 2016, 103208
Aschbacher W.H., “On a quantum phase transition in a steady state out of equilibrium”, J. Phys. A-Math. Theor., 49:41 (2016), 415201
Bernard D., Doyon B., “Conformal field theory out of equilibrium: a review”, J. Stat. Mech.-Theory Exp., 2016, 064005
Bernard D., Doyon B., “A hydrodynamic approach to non-equilibrium conformal field theories”, J. Stat. Mech.-Theory Exp., 2016, 033104
Doyon B., Lucas A., Schalm K., Bhaseen M.J., “Non-Equilibrium Steady States in the Klein-Gordon Theory”, J. Phys. A-Math. Theor., 48:9 (2015), 095002
Doyon B., “Lower Bounds For Ballistic Current and Noise in Non-Equilibrium Quantum Steady States”, Nucl. Phys. B, 892 (2015), 190–210
Genovese G., “on the Dynamics of Xy Spin Chains With Impurities”, Physica A, 434 (2015), 36–51
Hoogeveen M., Doyon B., “Entanglement Negativity and Entropy in Non-Equilibrium Conformal Field Theory”, Nucl. Phys. B, 898 (2015), 78–112
Eisler V., Zimboras Z., “Entanglement Negativity in the Harmonic Chain Out of Equilibrium”, New J. Phys., 16 (2014), 123020
Cornean H.D., Moldoveanu V., Pillet C.-A., “on the Steady State Correlation Functions of Open Interacting Systems”, Commun. Math. Phys., 331:1 (2014), 261–295

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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