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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

Quantum Ising model is an exactly solvable model of quantum phase transition. This paper gives an exact solution when the system is driven through the critical point at finite rate. The evolution goes through a series of Landau-Zener level…

其他凝聚态物理 · 物理学 2009-11-11 Jacek Dziarmaga

We examine the Jarzynski equality for a quenching process across the critical point of second-order phase transitions, where absolute irreversibility and the effect of finite-sampling of the initial equilibrium distribution arise on an…

Symmetry breaking phase transitions play an important role in nature. When a system traverses such a transition at a finite rate, its causally disconnected regions choose the new broken symmetry state independently. Where such local choices…

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…

量子物理 · 物理学 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek…

统计力学 · 物理学 2023-03-29 Gianluca Francica , Luca Dell'Anna

Kibble-Zurek theory (KZ) stands out as the most robust theory of defect generation in the dynamics of phase transitions. KZ utilizes the structure of equilibrium states away from the transition point to estimate the excitations due to the…

强关联电子 · 物理学 2021-07-28 Krishanu Roychowdhury , Roderich Moessner , Arnab Das

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

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

统计力学 · 物理学 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

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 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

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter…

统计力学 · 物理学 2025-04-28 Fumika Suzuki , Wojciech H. Zurek

We use laser-cooled ion Coulomb crystals in the well-controlled environment of a harmonic radiofrequency ion trap to investigate phase transitions and defect formation. Topological defects in ion Coulomb crystals (kinks) have been recently…

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…

统计力学 · 物理学 2020-11-04 Kristóf Hódsági , Márton Kormos

We have studied quantum phase transition induced by a quench in different one dimensional spin systems. Our analysis is based on the dynamical mechanism which envisages nonadiabaticity in the vicinity of the critical point. This causes spin…

量子物理 · 物理学 2015-05-27 Banasri Basu , Pratul Bandyopadhyay , Priyadarshi Majumdar

We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance. We are interested in the Kibble-Zurek universal scaling laws emerging…

量子物理 · 物理学 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

We present a formulation for investigating quench dynamics across quantum phase transitions in the presence of decoherence. We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous…

量子物理 · 物理学 2021-03-16 Wei-Ting Kuo , Daniel Arovas , Smitha Vishveshwara , Yi-Zhuang You

Nonequilibrium steady-state currents, unlike their equilibrium counterparts, continuously dissipate energy into their physical surroundings leading to entropy production and time-reversal symmetry breaking. This letter discusses these…

强关联电子 · 物理学 2009-11-13 Pankaj Mehta , Natan Andrei

We study the dynamic after a smooth quench across a continuous transition from the disordered phase to the ordered phase. Based on scaling ideas, linear response and the spectrum of unstable modes, we develop a theoretical framework, valid…

高能物理 - 理论 · 物理学 2015-06-24 Paul M. Chesler , Antonio M. Garcia-Garcia , Hong Liu

Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals,…

软凝聚态物质 · 物理学 2018-03-23 Norbert Stoop , Jörn Dunkel