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A description of the Kibble-Zurek mechanism with linear response theory has been done previously, but ad hoc hypotheses were used, like the use of the rate-dependent impulse window via the Zurek equation in the context of no driving in the…

统计力学 · 物理学 2026-01-09 Pierre Nazé

We study the out-of-equilibrium Kibble-Zurek (KZ) dynamics in quantum Ising chains in a transverse field, driven by a time-dependent longitudinal field $h(t)=t/t_s$ ($t_s$ is the time scale of the protocol), across their first-order quantum…

统计力学 · 物理学 2025-10-10 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The Kibble-Zurek mechanism quantifies defect formation during adiabatic passage across a continuous phase transition, providing key insights into universality in quantum many-body systems. We explore counting statistics of defects in…

Criticality in a fluid of dielectric constant D that exhibits Ising-type behavior is studied as additional electrostatic (i.e., ionic) interactions are turned on. An exploratory perturbative calculation is performed for small ionicity as…

软凝聚态物质 · 物理学 2009-10-31 A. G. Moreira , M. M. Telo da Gama , M. E. Fisher

We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism.…

统计力学 · 物理学 2020-06-24 Fernando J. Gómez-Ruiz , Jack J. Mayo , Adolfo del Campo

We investigate the dissipative quench dynamics in a family of two-band fermionic systems by linearly ramping the staggered on-site energy. In the Lindblad formalism, we present an analytical solution in the presence of uniform loss or loss…

量子物理 · 物理学 2025-05-07 Han-Chuan Kou , Zhi-Han Zhang , Peng Li

We prove that in the 2d Ising Model with a weak bidimensional quasi-periodic disorder in the interaction, the critical behavior is the same as in the non-disordered case, that is the critical exponents for the specific heat and…

数学物理 · 物理学 2024-10-30 Matteo Gallone , Vieri Mastropietro

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and…

统计力学 · 物理学 2019-05-01 Onofre Rojas , Jozef Strecka , Marcelo Leite Lyra , Sergio Martins de Souza

For randomly selected couplers and fields, the D-Wave device typically yields a highly Boltzmann like distribution [ indicating equilibration. These equilibrated data however do not contain much useful information about the dynamics which…

量子物理 · 物理学 2016-05-25 Nicholas Chancellor , Gabriel Aeppli , Paul A. Warburton

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

强关联电子 · 物理学 2015-04-30 William Witczak-Krempa

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

Turbulence is one of the most prototypical phenomena of systems driven out of equilibrium. While turbulence has been studied mainly with classical fluids like water, considerable attention is now drawn to quantum turbulence (QT), observed…

量子气体 · 物理学 2016-09-07 Masahiro Takahashi , Michikazu Kobayashi , Kazumasa A. Takeuchi

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical…

强关联电子 · 物理学 2025-07-22 Zhi Zeng , Yin-Kai Yu , Zhi-Xuan Li , Zi-Xiang Li , Shuai Yin

We analyse the near-adiabatic dynamics in a ramp through the critical point (CP) of the classical transverse field Ising chain. This is motivated, conceptually, by the fact that this CP -- unlike its quantum counterpart -- experiences no…

统计力学 · 物理学 2023-09-12 B. Dóra , R. Moessner

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

We analyze the problem of optimal adiabatic passage through a quantum critical point. We show that to minimize the number of defects the tuning parameter should be changed as a power-law in time. The optimal power is proportional to the…

其他凝聚态物理 · 物理学 2008-08-15 Roman Barankov , Anatoli Polkovnikov

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

A nonlinear Landau-Zener model was proposed recently to describe, among a number of applications, the nonadiabatic transition of a Bose-Einstein condensate between Bloch bands. Numerical analysis revealed a striking phenomenon that…

量子物理 · 物理学 2009-11-07 Jie Liu , Li-Bin Fu , Bi-Yiao Ou , Shi-Gang Chen , Qian Niu

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

统计力学 · 物理学 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

Using holography, we study the universal scaling laws governing the coarsening dynamics of strongly coupled domain walls. Specifically, we studied the universal dependence of the length of the domain wall interfaces on the quench rate. The…

统计力学 · 物理学 2025-01-29 Tian-Chi Ma , Han-Qing Shi , Hai-Qing Zhang , Adolfo del Campo