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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…

统计力学 · 物理学 2014-06-03 Adolfo del Campo , Wojciech H. Zurek

We argue that in a second order quantum phase transition driven by an inhomogeneous quench density of quasiparticle excitations is suppressed when velocity at which a critical point propagates across a system falls below a threshold…

量子物理 · 物理学 2015-05-13 Jacek Dziarmaga , Marek M. Rams

When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a…

量子物理 · 物理学 2018-11-26 Adolfo del Campo

Universal scaling laws govern the density of topological defects generated while crossing an equilibrium continuous phase transition. The Kibble-Zurek mechanism (KZM) predicts the dependence on the quench time for slow quenches. By…

统计力学 · 物理学 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

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…

统计力学 · 物理学 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

When a quantum phase transition is crossed within a finite time, critical slowing down disrupts adiabatic dynamics, resulting in the formation of topological defects. The average density of these defects scales with the quench rate,…

量子物理 · 物理学 2025-06-12 Oriel Kiss , Daniil Teplitskiy , Michele Grossi , Antonio Mandarino

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent…

统计力学 · 物理学 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

When a system is swept through a quantum critical point (QCP), the Kibble-Zurek mechanism predicts that the average number of topological defects follows a universal power-law scaling with the ramp time scale. This scaling behavior is…

统计力学 · 物理学 2026-05-19 R. Jafari , Alireza Akbari

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…

量子物理 · 物理学 2017-12-06 Patrik Hedvall , Jonas Larson

Quasi-static transformations, or slow quenches, of many-body quantum systems across quantum critical points create topological defects. The Kibble-Zurek mechanism regulates the appearance of defects in a local quantum system through a…

量子物理 · 物理学 2024-09-16 Stefano Gherardini , Lorenzo Buffoni , Nicolò Defenu

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…

量子物理 · 物理学 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this…

量子物理 · 物理学 2024-06-27 Lingzi Huang , Menghua Deng , Chen Sun , Fuxiang Li

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

统计力学 · 物理学 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken symmetry is only approximate, such transitions become smooth…

统计力学 · 物理学 2026-02-06 Peng Yang , Chuan-Yin Xia , Sebastian Grieninger , Hua-Bi Zeng , Matteo Baggioli

We show that a thermally isolated system driven across a quantum phase transition by a noisy control field exhibits anti-Kibble-Zurek behavior, whereby slower driving results in higher excitations. We characterize the density of excitations…

量子物理 · 物理学 2016-08-23 Anirban Dutta , Armin Rahmani , Adolfo del Campo

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…

量子物理 · 物理学 2024-07-22 Han-Chuan Kou , Peng Li

Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. It establishes a power law connection between non-equilibrium defects quenched through a continuous phase transition and the…

量子物理 · 物理学 2024-07-23 Amit Jamadagni , Javad Kazemi , Arpan Bhattacharyya

Kibble-Zurek mechanism (KZM) is a universal framework which could in principle describe phase transition phenomenon in any system with required symmetry properties. However, a conflicting observation termed anti-KZ behavior has been…

An analytically solvable model for quasi-static transformations across quantum critical points featuring Bosonic quasi-particle excitations is presented. The model proves that adiabaticity breakdown is a general feature of universal slow…

量子物理 · 物理学 2021-08-11 Nicolò Defenu

We investigate the statistics of the work performed during a quench across a quantum phase transition using the adiabatic perturbation theory. It is shown that all the cumulants of work exhibit universal scaling behavior analogous to the…

量子物理 · 物理学 2020-05-06 Zhaoyu Fei , Nahuel Freitas , Vasco Cavina , H. T. Quan , Massimiliano Esposito
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