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A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

Statistical Mechanics · Physics 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

Quantum Gases · Physics 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

The one-dimensional Fermi-Hubbard model is used as testbed for strong global parameter quenches. With the aid of iterated equations of motion in combination with a suitable scalar product for operators we describe the dynamics and the…

Strongly Correlated Electrons · Physics 2018-09-12 Philip Bleicker , Götz S. Uhrig

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the characteristics of eigenmodes. Namely, based on the presence and…

Statistical Mechanics · Physics 2025-02-18 Wei Lin , Weicheng Fu , Zhen Wang , Yong Zhang , Hong Zhao

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

Strongly Correlated Electrons · Physics 2013-08-27 Michael Stark , Marcus Kollar

We study the Bose and Fermi Hubbard model in the (formal) limit of large coordination numbers $Z\gg1$. Via an expansion into powers of $1/Z$, we establish a hierarchy of correlations which facilitates an approximate analytical derivation of…

Quantum Physics · Physics 2014-03-25 F. Queisser , K. V. Krutitsky , P. Navez , R. Schützhold

In this article, we study the quantum field theoretic generalization of the Caldeira-Leggett model in general curved space-time considering interactions between two scalar fields in a classical gravitational background. The thermalization…

High Energy Physics - Theory · Physics 2023-10-18 Subhashish Banerjee , Sayantan Choudhury , Satyaki Chowdhury , Johannes Knaute , Sudhakar Panda , K. Shirish

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax…

Statistical Mechanics · Physics 2014-04-23 F. H. L. Essler , S. Kehrein , S. R. Manmana , N. J. Robinson

The off-equilibrium probability distribution of the heat exchanged by a ferromagnet in a time interval after a quench below the critical point is calculated analytically in the large-N limit. The distribution is characterized by a singular…

Statistical Mechanics · Physics 2015-06-12 Federico Corberi , Giuseppe Gonnella , Antonio Piscitelli , Marco Zannetti

The construction of the generalized Gibbs ensemble, to which isolated integrable quantum many-body systems relax after a quantum quench, is based upon the principle of maximum entropy. In contrast, there are no universal and…

Statistical Mechanics · Physics 2022-11-24 Elias Starchl , Lukas M. Sieberer

We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type…

Strongly Correlated Electrons · Physics 2019-12-18 Rex Lundgren , Fangli Liu , Pontus Laurell , Gregory A. Fiete

The absence of a characteristic momentum scale in the pseudo-potential description of atomic interaction in ultracold (two-component Fermi) gases is known to lead to divergence in perturbation theory. Here we show that they also plague the…

Quantum Gases · Physics 2019-06-26 Chen-How Huang , Miguel A. Cazalilla

We employ holographic techniques to study quantum quenches at finite temperature, where the quenches involve varying the coupling of the boundary theory to a relevant operator with an arbitrary conformal dimension $2\leq\D\leq4$. The…

High Energy Physics - Theory · Physics 2015-06-15 Alex Buchel , Luis Lehner , Robert C. Myers , Anton van Niekerk

We consider quantum quenches in the so-called $q$-boson lattice model. We argue that the Generalized Eigenstate Thermalization Hypothesis holds in this model, therefore the Generalized Gibbs Ensemble (GGE) gives a valid description of the…

Statistical Mechanics · Physics 2015-06-22 B. Pozsgay

Quantum graphity is a background independent model for emergent locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At high energy, the graph describing the system is highly…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka , Fotini Markopoulou , Simone Severini

We study a nonequilibrium dynamics of a one-dimensional spin-imbalanced Fermi-Hubbard model following a quantum quench of on-site interaction, realizable, for example, in Feshbach-resonant atomic Fermi gases. We focus on the post-quench…

Quantum Gases · Physics 2017-01-26 Xiao Yin , Leo Radzihovsky

We study the real-time dynamics of the order parameter $<\sigma(t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We…

Strongly Correlated Electrons · Physics 2013-01-14 Dirk Schuricht , Fabian H. L. Essler

Disorder-free localization is a paradigm of strong ergodicity breaking that has been shown to occur in global quenches of lattice gauge theories when the system is initialized in a superposition over an extensive number of gauge sectors.…

Disordered Systems and Neural Networks · Physics 2022-06-24 Jad C. Halimeh , Philipp Hauke , Johannes Knolle , Fabian Grusdt