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We study a classical integrable (Neumann) model describing the motion of a particle on the sphere, subject to harmonic forces. We tackle the problem in the infinite dimensional limit by introducing a soft version in which the spherical…

Statistical Mechanics · Physics 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

The second law of thermodynamics states that work cannot be extracted from thermal equilibrium, whose quantum formulation is known as complete passivity; A state is called completely passive if work cannot be extracted from any number of…

Quantum Physics · Physics 2024-05-27 Yosuke Mitsuhashi , Kazuya Kaneko , Takahiro Sagawa

In this work we propose to simulate many-body thermodynamics of infinite-size quantum lattice models in one, two, and three dimensions, in terms of few-body models of only O(10) sites, which we coin as quantum entanglement simulators…

Strongly Correlated Electrons · Physics 2019-05-23 Shi-Ju Ran , Bin Xi , Cheng Peng , Gang Su , Maciej Lewenstein

The unitary dynamics of isolated quantum systems does not allow a pure state to thermalize. Because of that, if an isolated quantum system equilibrates, it will do so to the predictions of the so-called "diagonal ensemble" $\rho_{DE}$.…

Quantum Physics · Physics 2018-11-14 Fabio Anza

When two initially thermal many-body systems start interacting strongly, their transient states quickly become non-Gibbsian, even if the systems eventually equilibrate. To see beyond this apparent lack of structure during the transient…

Quantum Physics · Physics 2023-08-15 Karen V. Hovhannisyan , Somayyeh Nemati , Carsten Henkel , Janet Anders

Motivated by the recent experimental observation of negative absolute temperature states in systems of ultracold atomic gases in optical lattices [Braun et al., Science 339, 52 (2013)], we investigate theoretically the formation of these…

Quantum Gases · Physics 2013-11-01 Stephan Mandt , Adrian E. Feiguin , Salvatore R. Manmana

We describe a quench protocol that allows the rapid preparation of ground states of arbitrary interacting conformal field theories in $1+1$ dimensions. We start from the ground state of a related gapped relativistic quantum field theory and…

Statistical Mechanics · Physics 2019-04-03 Prahar Mitra , Matteo Ippoliti , R. N. Bhatt , S. L. Sondhi , Kartiek Agarwal

We study a quantum quench of the mass and the interaction in the Sinh-Gordon model starting from a large initial mass and zero initial coupling. Our focus is on the determination of the expansion of the initial state in terms of post-quench…

Statistical Mechanics · Physics 2014-10-07 Spyros Sotiriadis , Gabor Takacs , Giuseppe Mussardo

Generalized Gibbs ensembles have been used as powerful tools to describe the steady state of integrable many-particle quantum systems after a sudden change of the Hamiltonian. Here we demonstrate numerically, that they can be used for a…

Strongly Correlated Electrons · Physics 2018-05-02 Florian Lange , Zala Lenarčič , Achim Rosch

We consider the asymptotic state after a sudden quench of the magnetic field in the transverse field quantum Ising chain starting from excited states of the pre-quench Hamiltonian. We compute the thermodynamic entropies of the generalised…

Statistical Mechanics · Physics 2014-09-05 Márton Kormos , Leda Bucciantini , Pasquale Calabrese

In the present paper we study the entanglement properties of thermal (a.k.a. Gibbs) states of quantum harmonic oscillator systems as functions of the Hamiltonian and the temperature. We prove the physical intuition that at sufficiently high…

Quantum Physics · Physics 2008-03-07 Janet Anders , Andreas Winter

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

Deriving conditions under which a macroscopic system thermalizes directly from the underlying quantum many-body dynamics of its microscopic constituents is a long-standing challenge in theoretical physics. The well-known eigenstate…

Statistical Mechanics · Physics 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

We study the nonequilibrium properties of the one dimensional Lieb Liniger model in the finite repulsion regime. Introducing a new version of the Yudson representation applicable to finite size systems and appropriately taking the infinite…

Quantum Gases · Physics 2014-05-19 Garry Goldstein , Natan Andrei

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between…

Quantum Gases · Physics 2014-07-31 Tod M. Wright , Marcos Rigol , Matthew J. Davis , Karen V. Kheruntsyan

We study the statistics of the work done, the fluctuation relations and the irreversible entropy production in a quantum many-body system subject to the sudden quench of a control parameter. By treating the quench as a thermodynamic…

Statistical Mechanics · Physics 2013-07-24 Ross Dorner , John Goold , Cecilia Cormick , Mauro Paternostro , Vlatko Vedral

We obtain a modified version of the Onsager regression relation for the expectation values of quantum-mechanical operators in pure quantum states of isolated many-body quantum systems. We use the insights gained from this relation to show…

Statistical Mechanics · Physics 2015-06-11 Tarek A. Elsayed , Boris V. Fine

A large class of isolated quantum system in a pure state can equilibrate and serve as a heat bath. We show that once the equilibrium is reached, any of its subsystems that is much smaller than the isolated system is thermalized such that…

Statistical Mechanics · Physics 2014-06-13 Quntao Zhuang , Biao Wu

Isolated quantum systems follow the reversible unitary evolution; if we focus on the dynamics of local states and observables, they exhibit the irreversible relaxation behaviors. Here we study the local relaxation process in an isolated…

Quantum Physics · Physics 2024-08-20 Sheng-Wen Li , Ning Wu