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Related papers: Universal Quench Dynamics of an Open Quantum Syste…

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We consider a one-dimensional classical ferromagnetic Ising model when it is quenched from a low temperature to zero temperature in finite time using Glauber or Kawasaki dynamics. Most of the previous work on finite-time quenches assume…

Statistical Mechanics · Physics 2024-01-10 Lakshita Jindal , Kavita Jain

We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven…

Statistical Mechanics · Physics 2020-05-27 Davide Rossini , Ettore Vicari

According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in…

Quantum Physics · Physics 2024-07-22 Han-Chuan Kou , Peng Li

We study the universality of work statistics of a system quenched through a quantum critical surface. By using the adiabatic perturbation theory, we obtain the general scaling behavior for all cumulants of work. These results extend the…

Statistical Mechanics · Physics 2022-02-16 Fan Zhang , H. T. Quan

It has been shown that a quantum quench of interactions in a one-dimensional fermion system at zero temperature induces a universal power law $\propto t^{-2}$ in its long-time dynamics. In this paper we demonstrate that this behaviour is…

Strongly Correlated Electrons · Physics 2018-05-16 Alessio Calzona , Filippo Maria Gambetta , Matteo Carrega , Fabio Cavaliere , Thomas L. Schmidt , Maura Sassetti

We study the dynamics of open quantum many-body systems driven across a critical point by quenching an Hamiltonian parameter at a certain velocity. General scaling laws are derived for the density of excitations and energy produced during…

Statistical Mechanics · Physics 2009-07-03 Dario Patanè , Alessandro Silva , Luigi Amico , Rosario Fazio , Giuseppe E. Santoro

We address the out-of-equilibrium dynamics arising from quantum-quench (QQ) protocols (instantaneous changes of the Hamiltonian parameters) in many-body systems within their quantum critical regime and in contact with thermal baths,…

Statistical Mechanics · Physics 2023-07-26 Francesco Tarantelli , Ettore Vicari

In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the…

Quantum Physics · Physics 2019-03-05 F. J. Gómez-Ruiz , A. del Campo

The Kibble-Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as…

Strongly Correlated Electrons · Physics 2023-07-07 Á. Bácsi , B. Dóra

In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of…

Statistical Mechanics · Physics 2014-06-03 Adolfo del Campo , Wojciech H. Zurek

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

Statistical Mechanics · Physics 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

We study how universal properties of quantum quenches across critical points are modified by a weak coupling to thermal dissipation, focusing on the paradigmatic case of the transverse field Ising model. Beyond the standard quench-induced…

Quantum Gases · Physics 2015-08-05 P. Nalbach , Smitha Vishveshwara , Aashish A. Clerk

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical…

We demonstrate the existence of universal features in the finite-time thermodynamics of quantum machines by considering a many-body quantum Otto cycle in which the working medium is driven across quantum critical points during the unitary…

Quantum Physics · Physics 2020-11-20 Revathy B. S. , Victor Mukherjee , Uma Divakaran , Adolfo del Campo

Measuring universal data in the strongly correlated regime of quantum critical points remains a fundamental objective for quantum simulators. In foundational work, Calabrese and Cardy demonstrated how this data governs the dynamics of…

Quantum Physics · Physics 2025-09-30 Julia Wei , Méabh Allen , Jack Kemp , Chenbing Wang , Zixia Wei , Joel E. Moore , Norman Y. Yao

The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the critical point can be…

Statistical Mechanics · Physics 2020-11-04 Kristóf Hódsági , Márton Kormos

Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transitions. The latter arises from the emergent continuous scaling…

Quantum Gases · Physics 2023-08-28 Jia-nan Cui , Zhengqiang Zhou , Mingyuan Sun

As the temperature of a many-body system approaches absolute zero, thermal fluctuations of observables cease and quantum fluctuations dominate. Competition between different energies, such as kinetic energy, interactions or thermodynamic…

Quantum Gases · Physics 2012-03-05 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Cheng Chin

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

In this paper we study the driven critical dynamics in the three-state quantum chiral clock model. This is motivated by a recent experiment, which verified the Kibble-Zurek mechanism and the finite-time scaling in a reconfigurable…

Statistical Mechanics · Physics 2019-05-22 Rui-Zhen Huang , Shuai Yin