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相关论文: Kibble-Zurek mechanism beyond adiabaticity: Finite…

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We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions (QPTs) in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our…

量子物理 · 物理学 2015-06-18 O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

The conventional Kibble-Zurek scaling describes the scaling behavior in the driven dynamics across a single critical region. In this paper, we study the driven dynamics across an overlapping critical region, in which a critical region…

统计力学 · 物理学 2018-04-13 Liang-Jun Zhai , Huai-Yu Wang , Shuai Yin

The Kibble-Zurek mechanism provides a description of the topological structure occurring in the symmetry breaking phase transitions, which may manifest as the cosmological strings in the early universe or vortex lines in the superfulid. A…

量子物理 · 物理学 2014-03-12 Cheng Zhou , Li Wang , Tao Tu , Hai-Ou Li , Guang-Can Guo , Hong-Wen Jiang , Guo-Ping Guo

We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

统计力学 · 物理学 2010-10-28 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

The Kibble-Zurek mechanism (KZM) captures the key physics in the non-equilibrium dynamics of second-order phase transitions, and accurately predict the density of the topological defects formed in this process. However, despite much effort,…

量子物理 · 物理学 2014-12-11 Xiao-Ye Xu , Yong-Jian Han , Kai Sun , Jin-Shi Xu , Jian-Shun Tang , Chuan-Feng Li , Guang-Can Guo

For systems performing a weakly isothermal process, the decorrelation time dictates how fast the relaxation function decorrelates. However, like many other thermally isolated systems, the transverse-field quantum Ising chain presents an…

统计力学 · 物理学 2023-12-05 Pierre Nazé

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

强关联电子 · 物理学 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin

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

As a simplified description of the non-equilibrium dynamics of buckled dimers on the Si(001) surface, we consider the anisotropic 2D Ising model and study the freezing of spatial correlations during a cooling quench across the critical…

The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is the key prediction of the Kibble-Zurek mechanism (KZM), and…

We study the effects of symmetry-breaking perturbations in the out-of-equilibrium quantum dynamics of many-body systems slowly driven across a continuous quantum transition (CQT) by a time-dependent symmetry-preserving parameter. For this…

统计力学 · 物理学 2023-04-12 Francesca De Franco , Ettore Vicari

Current generation quantum annealers have already proven to be successful problem-solvers. Yet, quantum annealing is still very much in its infancy, with suboptimal applicability. For instance, to date it is still an open question which…

Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to fully exploit their capabilities, a comprehensive…

We study finite-time driving across second-order dissipative quantum phase transitions described by Lindblad dynamics. We show that the nonadiabatic entropy production, which quantifies deviations from the instantaneous nonequilibrium…

量子物理 · 物理学 2025-12-05 Laetitia P. Bettmann , Artur M. Lacerda , Mark T. Mitchison , John Goold

We use Monte Carlo simulations to demonstrate generic scaling aspects of classical phase transitions approached through a quench (or annealing) protocol where the temperature changes as a function of time with velocity $v$. Using a…

统计力学 · 物理学 2014-02-25 Cheng-Wei Liu , Anatoli Polkovnikov , Anders W. Sandvik

We employ quench dynamics as an effective tool to probe different universality classes of topological phase transitions. Specifically, we study a model encompassing both Dirac-like and nodal loop criticalities. Examining the Kibble-Zurek…

统计力学 · 物理学 2022-12-06 Karin Sim , R. Chitra , Paolo Molignini

We propose scaling theories for Kosterlitz-Thouless (KT) phase transitions on the basis of the hallmark exponential growth of their correlation length. Finite-size scaling, finite-entanglement scaling, short-time critical dynamics, and…

统计力学 · 物理学 2022-01-05 Zhiyao Zuo , Shuai Yin , Xuanmin Cao , Fan Zhong

We study the adiabatic dynamics of Majorana fermions across a quantum phase transition. We show that the Kibble-Zurek scaling, which describes the density of bulk defects produced during the critical point crossing, is not valid for edge…

强关联电子 · 物理学 2014-11-20 A. Bermudez , L. Amico , M. A. Martin-Delgado

We generalize and apply the key elements of the Kibble-Zurek framework of nonequilibrium phase transitions to study the non-equilibrium critical cumulants near the QCD critical point. We demonstrate the off-equilibrium critical cumulants…

高能物理 - 唯象学 · 物理学 2018-03-14 Swagato Mukherjee , Raju Venugopalan , Yi Yin