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We investigate quantum scaling phenomena driven by lower-dimensional defects in quantum Ising-like models. We consider quantum Ising rings in the presence of a bond defect. In the ordered phase, the system undergoes a quantum transition…

统计力学 · 物理学 2015-04-29 Massimo Campostrini , Andrea Pelissetto , Ettore Vicari

The Kuramoto model, which serves as a paradigm for investigating synchronization phenomenon of oscillatory system, is known to exhibit second-order, i.e., continuous, phase transitions in the macroscopic order parameter. Here, we generalize…

适应与自组织系统 · 物理学 2020-11-04 Can Xu , Xuebin Wang , Per Sebastian Skardal

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

量子物理 · 物理学 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

In delocalized systems, particle number fluctuations, also known as quantum surface roughness, and the mean-square displacement exhibit a temporal power-law growth followed by a saturation to a system-size-dependent value. We use simple…

无序系统与神经网络 · 物理学 2024-07-15 Devendra Singh Bhakuni , Yevgeny Bar Lev

The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

软凝聚态物质 · 物理学 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

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

We study the statistical properties of the spread complexity in the Krylov space of quantum systems driven across a quantum phase transition. Using the diabatic Magnus expansion, we map the evolution to an effective one-dimensional hopping…

量子物理 · 物理学 2026-05-26 András Grabarits , Adolfo del Campo

In this study, we prove that the quantum critical point in the ground state of quantum many-body systems, can also govern the universal dynamical behavior when the systems are driven far from equilibrium, which can be captured by the…

量子气体 · 物理学 2024-07-23 Shuohang Wu , Zhengxin Guo , Zijian Xiong , Yuan Yao , Zi Cai

We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an…

量子气体 · 物理学 2015-05-14 Jacek Dziarmaga

In the field of non-equilibrium phase transitions, the Kibble-Zurek mechanism (KZM) is undoubtedly an important discovery, pointing out that some universal scaling rules are applied to a wide range of physical systems from quantum to the…

量子物理 · 物理学 2021-04-16 Wen Wei , Shanhua Zhu , Yi Xie , Baoquan Ou , Wei Wu , Pingxing Chen

In this article we give an overview of the concept of universal dynamics near non-thermal fixed points in isolated quantum many-body systems. We outline a non-perturbative kinetic theory derived within a Schwinger-Keldysh closed-time…

量子气体 · 物理学 2019-11-13 Christian-Marcel Schmied , Aleksandr N. Mikheev , Thomas Gasenzer

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping…

量子气体 · 物理学 2022-09-27 Huan Wang , Xiayao He , Shuai Li , Hongrong Li , Bo Liu

We describe a scheme for finding quantum critical points based on studies of a non-equilibrium susceptibility during finite-rate quenches taking the system from one phase to another. We assume that two such quenches are performed in…

统计力学 · 物理学 2020-10-12 Michał Białończyk , Bogdan Damski

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

量子物理 · 物理学 2024-03-13 Sabre Kais

We develop a theory of finite-time scaling for dynamic quantum criticality by considering the competition among an external time scale, an intrinsic reaction time scale and an imaginary time scale arising respectively from an external…

统计力学 · 物理学 2013-03-11 Shuai Yin , Xizhou Qin , Chaohong Lee , Fan Zhong

We consider the time-dependent transverse field Ising chain with time-periodic perturbations. Without perturbations, this model is one of the famous models that obeys the scaling in the adiabatic limit predicted by the quantum Kibble-Zurek…

量子物理 · 物理学 2023-08-09 Takayuki Suzuki , Kaito Iwamura

Certain frustrated systems, including spin ice and dimer models, exhibit a Coulomb phase at low temperatures, with power-law correlations and fractionalized monopole excitations. Transitions out of this phase, at which the effective gauge…

统计力学 · 物理学 2012-08-09 Stephen Powell

A new universal {\it empirical} function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The scaling formalism is used to describe two regimes…

混沌动力学 · 物理学 2015-05-27 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

统计力学 · 物理学 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

Non-Hermitian descriptions of quantum matter have seen impressive progress recently, with major advances in understanding central aspects such as their topological properties or the physics of exceptional points, the non-Hermitian…