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The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

Entanglement generated by Ising model has been studied for several authors in order to understand the relation between it and magnetic properties of materials, principally using one or two dimensional models for two or more particles. In…

Quantum Physics · Physics 2008-10-01 Francisco Delgado

We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped…

Statistical Mechanics · Physics 2016-12-21 M. Marcuzzi , J. Marino , A. Gambassi , A. Silva

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signalled by severe suppression of quantum correlation spreading and of entanglement…

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 investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We study free electrons on an infinite half-filled chain, starting in the ground state with a bond defect. We find a logarithmic increase of the entanglement entropy after the defect is removed, followed by a slow relaxation towards the…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , I. Peschel

We study a quantum quench in which a magnetic impurity is suddenly coupled to Hubbard chains, whose low-energy physics is described by Tomonaga-Luttinger liquid theory. Using the time-dependent density-matrix renormalization-group (tDMRG)…

Strongly Correlated Electrons · Physics 2021-03-31 Helena Bragança , Moallison F. Cavalcante , R. G. Pereira , Maria C. O. Aguiar

Local relaxation after a quench in 1-D quantum many-body systems is a well known and very active problem with rich phenomenology. Except for pathological cases, the local relaxation is accompanied by the local restoration of the symmetries…

Statistical Mechanics · Physics 2024-11-14 Konstantinos Chalas , Filiberto Ares , Colin Rylands , Pasquale Calabrese

We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to…

Quantum Physics · Physics 2024-03-06 Joseph Tindall , Dries Sels

We discuss the behaviour of holographic entanglement entropy following a local quench in 2+1 dimensional strongly coupled CFTs. The entanglement generated by the quench propagates along an emergent light-cone, reminiscent of the…

High Energy Physics - Theory · Physics 2016-05-04 Mukund Rangamani , Moshe Rozali , Alexandre Vincart-Emard

A few paradigmatic one-dimensional lattice-statistical spin models have recently attracted a vigorous scientific interest owing to their peculiar thermodynamic behavior, which is highly reminiscent of a temperature-driven phase transition.…

Statistical Mechanics · Physics 2020-08-17 Jozef Strecka

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ) chain after a geometric quench. This corresponds to a sudden change of the geometry of the chain or, in the equivalent language of interacting fermions…

Strongly Correlated Electrons · Physics 2014-08-27 Vincenzo Alba , Fabian Heidrich-Meisner

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

We study the zero temperature quenching dynamics of various extensions of the transverse Ising model (TIM) when the transverse field is linearly quenched from $-\infty$ to $+\infty$ (or zero) at a finite and uniform rate. The rate of…

Statistical Mechanics · Physics 2008-01-18 Uma Divakaran , Amit Dutta

We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of…

Nuclear Theory · Physics 2024-02-28 Francesco Becattini , Asaad Daher , Xin-Li Sheng

Non-reciprocal interactions are present in many systems out of equilibrium. The rate of entropy production is a measure that quantifies the time irreversibility of a system, and thus how far it is from equilibrium. In this work, we…

Statistical Mechanics · Physics 2022-11-28 Ziluo Zhang , Rosalba Garcia-Millan

Recently, a novel probe to study symmetry breaking, known as entanglement asymmetry, has emerged and has been utilized to explore how symmetry is dynamically restored following quantum quenches. Interestingly, it has been shown that, in…

Statistical Mechanics · Physics 2025-03-27 Filiberto Ares , Vittorio Vitale , Sara Murciano

The quantum nature of a microscopic system can only be revealed when it is sufficiently decoupled from surroundings. Interactions with the environment induce relaxation and decoherence that turn the quantum state into a classical mixture.…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Alexey M. Shakirov , Alexey N. Rubtsov , Alexander I. Lichtenstein , Pedro Ribeiro