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We study zero-temperature XX chains and transverse Ising chains and join an initially separate finite piece on one or on both sides to an infinite remainder. In both critical and non-critical systems we find a typical increase of the…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , D. Karevski , T. Platini , I. Peschel

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the…

Statistical Mechanics · Physics 2018-06-01 Andrea Pelissetto , Davide Rossini , Ettore Vicari

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 large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

Statistical Mechanics · Physics 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

We study the off-equilibrium dynamics of the infinite dimensional Bose Hubbard Model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical…

Quantum Gases · Physics 2010-12-17 Bruno Sciolla , Giulio Biroli

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

Strongly Correlated Electrons · Physics 2021-02-26 Ádám Bácsi , Balázs Dóra

We investigate the time evolution of the density of kinks in the spin-1/2 quantum Ising spin chain after a sudden quench in the transverse field strength, and find that it relaxes to a value which depends on the initial and the final values…

Statistical Mechanics · Physics 2009-10-22 Sei Suzuki , Davide Rossini , Giuseppe E. Santoro

Computing the non-equilibrium dynamics that follows a quantum quench is difficult, even in exactly solvable models. Results are often predicated on the ability to compute overlaps between the initial state and eigenstates of the Hamiltonian…

Statistical Mechanics · Physics 2021-12-11 Neil J. Robinson , Albertus J. J. M. de Klerk , Jean-Sébastien Caux

After a quench in a quantum many-body system, expectation values tend to relax towards long-time averages. However, in any finite-size system, temporal fluctuations remain. It is crucial to study the suppression of these fluctuations with…

Statistical Mechanics · Physics 2017-04-05 Thomas Kiendl , Florian Marquardt

We consider an open system near a quantum critical point that is suddenly moved towards the critical point. The bath-dominated diffusive non-equilibrium dynamics after the quench is shown to follow scaling behavior, governed by a critical…

Strongly Correlated Electrons · Physics 2015-03-11 Pia Gagel , Peter P. Orth , Jörg Schmalian

We prove the approach to equilibrium of quenched isolated quantum systems for which the change in the Hamiltonian brought about by the quench satisfies a certain closed commutator algebra with all the extensive integrals of motion of the…

Statistical Mechanics · Physics 2016-12-01 E. Solano-Carrillo

A sudden change of the Hamiltonian parameter drives a quantum system out of equilibrium. For a finite-size system, expectations of observables start fluctuating in time without converging to a precise limit. A new equilibrium state emerges…

Quantum Physics · Physics 2013-03-21 Lorenzo Campos Venuti , Paolo Zanardi

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

Statistical Mechanics · Physics 2018-03-30 Vincenzo Alba , Pasquale Calabrese

We study the dynamics arising from a double quantum quench where the parameters of a given Hamiltonian are abruptly changed from being in an equilibrium phase A to a different phase B and back (A$\to$B$\to$A). As prototype models, we…

Statistical Mechanics · Physics 2018-05-17 D. M. Kennes , D. Schuricht , C. Karrasch

We study sudden quantum quenches in which the initial states are selected to be either eigenstates of an integrable Hamiltonian that is nonmappable to a noninteracting one or a nonintegrable Hamiltonian, while the Hamiltonian after the…

Statistical Mechanics · Physics 2013-04-15 Kai He , Marcos Rigol

We study the dynamics of quantum information and of quantum correlations after a quantum quench, in transverse field Ising chains subject to generic linear dissipation. As we show, in the hydrodynamic limit of long times, large system…

Statistical Mechanics · Physics 2022-02-09 Vincenzo Alba , Federico Carollo

We investigate the non-equilibrium dynamics of the one-dimensional extended Hubbard model after interaction quenches. In strong-coupling regime with large on-site interaction, the ground states of this model with small and large…

Strongly Correlated Electrons · Physics 2023-03-30 Yong-Guang Su , Ruifeng Lu , Hantao Lu , Can Shao

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands