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Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

Quantum Physics · Physics 2026-01-21 Chengxiang Ding , Long Zhang

We study the driven critical dynamics with an equilibrium initial state near a quantum critical point. In contrast to the original Kibble-Zurek mechanism, which describes the driven dynamics starting from an adiabatic stage that is far from…

Statistical Mechanics · Physics 2016-08-29 Shuai Yin , Chung-Yu Lo , Pochung Chen

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We give an overview of the scaling of density of quasi-particles and excess energy (heat) for nearly adiabatic dynamics near quantum critical points (QCPs). In particular we discuss both sudden quenches of small amplitude and slow sweeps…

Statistical Mechanics · Physics 2010-05-19 Vladimir Gritsev , Anatoli Polkovnikov

In this paper we address the question how the Kibble-Zurek mechanism, which describes the formation of topological defects in quantum systems subjected to a quench across a critical point, is generalized to the same scenario but for…

Quantum Physics · Physics 2017-12-06 Patrik Hedvall , Jonas Larson

We study the dynamical response of a system to a sudden change of the tuning parameter $\lambda$ starting (or ending) at the quantum critical point. In particular we analyze the scaling of the excitation probability, number of excited…

Statistical Mechanics · Physics 2010-01-20 C. De Grandi , V. Gritsev , A. Polkovnikov

Universality and scaling are fundamental concepts in equilibrium continuous phase transitions. Here, we unveil a unique and universal scaling behavior of the critical time in slowly driven dynamical quantum phase transition. Going beyond…

Statistical Mechanics · Physics 2024-09-26 Xiang Zhang , Liangdong Hu , Fuxiang Li

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium…

Statistical Mechanics · Physics 2026-04-22 Davide Rossini , Ettore Vicari

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 investigate non-equilibrium dynamical scaling in adiabatic quench processes across quantum multicritical points. Our analysis shows that the resulting power-law scaling depends sensitively on the control path, and that anomalous critical…

Statistical Mechanics · Physics 2015-05-14 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

High Energy Physics - Theory · Physics 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

We study the out-of-equilibrium dynamics of $p$-wave superconducting quantum wires with long-range interactions, when the chemical potential is linearly ramped across the topological phase transition. We show that the heat produced after…

Quantum Physics · Physics 2019-11-27 Nicolò Defenu , Giovanna Morigi , Luca Dell'Anna , Tilman Enss

We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as…

Quantum Physics · Physics 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

We propose a theory to explain the experimental observed deviation from the Kibble-Zurek mechanism (KZM) scaling in rapidly quenched critical phase transition dynamics. There is a critical quench rate $\tau_{Q}^{c1}$ above it the KZM…

Statistical Mechanics · Physics 2021-10-18 Chuan-Yin Xia , Hua-Bi Zeng

When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations produced. This mechanism is now being used to obtain…

Quantum Physics · Physics 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

Statistical Mechanics · Physics 2009-08-11 Ying Li , M. X. Huo , Z. Song

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We study properties of isolated integrable quantum systems after a sudden quench starting from thermal states. We show that, even if the system is initially in thermal equilibrium at finite temperature, the diagonal entropy after a quench…

Quantum Gases · Physics 2012-07-13 Kai He , Marcos Rigol

When a system is driven across a quantum critical point at a constant rate its evolution must become non-adiabatic as the relaxation time $\tau$ diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging…

Statistical Mechanics · Physics 2016-02-22 Anna Francuz , Jacek Dziarmaga , Bartlomiej Gardas , Wojciech H. Zurek
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