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The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

Statistical Mechanics · Physics 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

Quantum spin chains are prototype quantum many-body systems. They are employed in the description of various complex physical phenomena. The goal of this paper is to provide an introduction to the subject by focusing on the time evolution…

Statistical Mechanics · Physics 2015-06-11 Kira Joel , Davida Kollmar , Lea F. Santos

Quantum quenches in continuum field theory across critical points are known to display different scaling behaviours in different regimes of the quench rate. We extend these results to integrable lattice models such as the transverse field…

High Energy Physics - Theory · Physics 2018-01-17 Diptarka Das , Sumit R. Das , Damián A. Galante , Robert C. Myers , Krishnendu Sengupta

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

Spatiotemporal quenches are efficient at preparing ground states of critical Hamiltonians that have emergent low-energy descriptions with Lorentz invariance. The critical transverse field Ising model with nearest neighbor interactions, for…

Quantum Gases · Physics 2023-08-09 Simon Bernier , Kartiek Agarwal

We study the out-of-equilibrium dynamics of one-dimensional quantum Ising-like systems, arising from sudden quenches of the Hamiltonian parameter $g$ driving quantum transitions between disordered and ordered phases. In particular, we…

Statistical Mechanics · Physics 2024-05-16 Davide Rossini , Ettore Vicari

We relate the probability distribution of the work done on a statistical system under a sudden quench to the Lanczos coefficients corresponding to evolution under the post-quench Hamiltonian. Using the general relation between the moments…

Quantum Physics · Physics 2023-09-19 Kuntal Pal , Kunal Pal , Ankit Gill , Tapobrata Sarkar

We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a…

Statistical Mechanics · Physics 2024-08-05 Alessandro Foligno , Pavel Kos , Bruno Bertini

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions.…

Strongly Correlated Electrons · Physics 2013-02-08 Frank Pollmann , Masudul Haque , Balázs Dóra

We study nonequilibrium quantum dynamics of spin chains by employing principal component analysis (PCA) on data sets of wave function snapshots and examine how information propagates within these data sets. The quantities we employ are…

Disordered Systems and Neural Networks · Physics 2025-08-28 Devendra Singh Bhakuni , Roberto Verdel , Cristiano Muzzi , Riccardo Andreoni , Monika Aidelsburger , Marcello Dalmonte

We analyze the coherent quantum evolution of a many-particle system after slowly sweeping a power-law confining potential. The amplitude of the confining potential is varied in time along a power-law ramp such that the many-particle system…

Statistical Mechanics · Physics 2015-05-19 Mario Collura , Dragi Karevski

Although quantum correlations in a quantum system are characterized by the evolving quantities (which are entanglement and discord usually), we reveal such basis (i.e. the set of virtual particles) for the representation of the density…

Quantum Physics · Physics 2015-02-11 E. B. Fel'dman , A. I. Zenchuk

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

Recently, a non-trivial relation between the quasi-particle spectrum and entanglement entropy production was discovered in non-integrable quenches in the paramagnetic Ising quantum spin chain. Here we study the dynamics of analogous…

Statistical Mechanics · Physics 2019-02-05 O Pomponio , L. Pristyak , G. Takacs

Extracting information from quantum many-body systems remains a key challenge in quantum technologies due to experimental limitations. In this work, we employ a single spin qubit to probe a strongly interacting system, creating an…

Recent experimental achievements in controlling ultracold gases in optical lattices open a new perspective on quantum many-body physics. In these experimental setups it is possible to study coherent time evolution of isolated quantum…

Quantum Gases · Physics 2010-06-04 Peter Barmettler , Matthias Punk , Vladimir Gritsev , Eugene Demler , Ehud Altman

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

We investigate the asymptotic behaviour of spin-spin correlation functions for the integrable Heisenberg chain. To this end we use the Quantum Transfer Matrix (QTM) technique developed in \cite{AK} which results in a set of non-linear…

Strongly Correlated Electrons · Physics 2015-06-24 A. Klümper , J. R. Reyes Martínez , C. Scheeren , M. Shiroishi

We investigate a granular gas in a shaken quasi-two-dimensional box in molecular dynamics computer simulations. After a sudden change (quench) of the shaking amplitude, transient density correlations are observed orders of magnitude beyond…

Soft Condensed Matter · Physics 2020-11-18 Thomas Schindler , Christian M. Rohwer

We study the non-equilibrium dynamics of the Luttinger model after a quantum quench, when the initial state is a finite temperature thermal equilibrium state. The diagonal elements of the density matrix in the steady state show thermal…

Strongly Correlated Electrons · Physics 2013-10-16 Ádám Bácsi , Balázs Dóra