Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Quantum quench dynamics in analytically solvable one-dimensional models

Anı́bal Iucci, Miguel A. Cazalilla, Thierry Giamarchi

Published Mar 14, 2008• 0 citations
OpenAlex

Related papers

Quantum quench dynamics of the one-dimensional Ising model in transverse field

Wei-Ke Zou, Nuo-Wei Li, Chong Soo Han +1 more

Pramana•Feb 15, 2019•1 citation

Quench dynamics in the one-dimensional Sine-Gordon Model: Quantum kinetic equation approach

Marco Távora

Bulletin of the American Physical Society•Jan 1, 2019•0 citations

Quantum quench dynamics of the sine-Gordon model in some solvable limits

Anı́bal Iucci, Miguel A. Cazalilla

With regard to the thermalization problem in isolated quantum systems, we investigate the dynamics following a quantum quench of the sine-Gordon model (sGM) in the Luther–Emery and the semiclassical limits. We consider the quench from the gapped to the gapless phase, as well as the reverse one. By obtaining analytic expressions for the one- and two-point correlation functions of the order parameter operator at zero-temperature, the manifestations of integrability in the absence of thermalization in the sGM are studied. It is shown that correlations in the long-time regime after the quench are well described by a generalized Gibbs ensemble. We also consider the case where the system is initially in contact with a reservoir at finite temperature. The possible relevance of our results to current and future experiments with ultracold atomic systems is also considered.

arXiv:1003.5167•New Journal of Physics•May 28, 2010•141 citations

Quench dynamics in one-dimensional quantum systems

Jarrett L. Lancaster

•Jan 1, 2012•0 citations

Quench dynamics of a one-dimensional quantum many-body system

Sooshin Kim, Alexander Lukin, Matthew Rispoli +7 more

Bulletin of the American Physical Society•May 29, 2018•0 citations

Analytical expressions for the evolution of many-body quantum systems quenched far from equilibrium

Léa Ferreira dos Santos, Eduardo Jonathan Torres-Herrera

Possible strategies to describe analytically the dynamics of many-body quantum systems out of equilibrium include the use of solvable models and of full random matrices. None of the two approaches represent actual realistic systems, but they serve as references for the studies of these ones. We take the second path and obtain analytical expressions for the survival probability, density imbalance, and out-of-time-ordered correlator. Using these findings, we then propose an approximate expression that matches very well numerical results for the evolution of realistic finite quantum systems that are strongly chaotic and quenched far from equilibrium. In the case of the survival probability, the expression proposed covers all different time scales, from the moment the system is taken out of equilibrium to the moment it reaches a new equilibrium. The realistic systems considered are described by one-dimensional spin-1/2 models.

AIP conference proceedings•Jan 1, 2017•14 citations
With regard to the thermalization problem in isolated quantum systems, we investigate the dynamics following a quantum quench of the sine-Gordon model (sGM) in the Luther–Emery and the semiclassical limits. We consider the quench from the gapped to the gapless phase, as well as the reverse one. By obtaining analytic expressions for the one- and two-point correlation functions of the order parameter operator at zero-temperature, the manifestations of integrability in the absence of thermalization in the sGM are studied. It is shown that correlations in the long-time regime after the quench are well described by a generalized Gibbs ensemble. We also consider the case where the system is initially in contact with a reservoir at finite temperature. The possible relevance of our results to current and future experiments with ultracold atomic systems is also considered.
Possible strategies to describe analytically the dynamics of many-body quantum systems out of equilibrium include the use of solvable models and of full random matrices. None of the two approaches represent actual realistic systems, but they serve as references for the studies of these ones. We take the second path and obtain analytical expressions for the survival probability, density imbalance, and out-of-time-ordered correlator. Using these findings, we then propose an approximate expression that matches very well numerical results for the evolution of realistic finite quantum systems that are strongly chaotic and quenched far from equilibrium. In the case of the survival probability, the expression proposed covers all different time scales, from the moment the system is taken out of equilibrium to the moment it reaches a new equilibrium. The realistic systems considered are described by one-dimensional spin-1/2 models.