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Quenching a quantum system involves three basic ingredients: the initial phase, the post-quench target phase, and the non-equilibrium dynamics which carries the information of the former two. Here we propose a dynamical theory to…

Quantum Gases · Physics 2021-06-22 Long Zhang , Lin Zhang , Ying Hu , Sen Niu , Xiong-Jun Liu

In a finite time quantum quench of the Haldane model, the Chern number determining the topology of the bulk remains invariant, as long as the dynamics is unitary. Nonetheless, the corresponding boundary attribute, the edge current, displays…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Sougata Mardanya , Utso Bhattacharya , Amit Agarwal , Amit Dutta

While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that…

Statistical Mechanics · Physics 2025-10-16 Pierre Nazé , Marcus V. S. Bonança , Sebastian Deffner

It is shown that dynamics of the Landau-Zener model can be accurately described in terms of the Kibble-Zurek theory of the topological defect production in nonequilibrium phase transitions. The simplest quantum model exhibiting the…

Other Condensed Matter · Physics 2009-11-10 Bogdan Damski

We observe power-law scaling of the temporal onset of excitations with quench speed in the neighborhood of the quantum phase transition between the polar and broken-axisymmetry phases in a small spin-1 ferromagnetic Bose-Einstein…

Quantum Gases · Physics 2016-04-20 M. Anquez , B. A. Robbins , H. M. Bharath , M. J. Boguslawski , T. M. Hoang , M. S. Chapman

We consider the non-equilibrium dynamics of topologically ordered systems driven across a continuous phase transition into proximate phases with no, or reduced, topological order. This dynamics exhibits scaling in the spirit of Kibble and…

Strongly Correlated Electrons · Physics 2013-09-18 Anushya Chandran , F. J. Burnell , Vedika Khemani , S. L. Sondhi

We investigate the excitation dynamics at a first-order quantum phase transition (QPT). More specifically, we consider the quench-induced QPT in the quantum search algorithm, which aims at finding out a marked element in an unstructured…

Statistical Mechanics · Physics 2017-03-01 Ivan B. Coulamy , Andreia Saguia , Marcelo S. Sarandy

Out-of-equilibrium phenomena is a subject of considerable interest in many fields of physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly controllable systems, offer ideal platforms to investigate this…

Quantum Gases · Physics 2017-02-01 J. Beugnon , N. Navon

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of time, and investigate the temporal behavior of the system…

Quantum Gases · Physics 2018-04-04 Keita Shimizu , Yoshihito Kuno , Takahiro Hirano , Ikuo Ichinose

Direct measurement of a bulk topological observable in topological phase of matter has been a long-standing issue. Recently, detection of bulk topology through quench dynamics has attracted growing interests. Here, we propose that…

Mesoscale and Nanoscale Physics · Physics 2021-02-04 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using different protocols. We focus on the evolution of the growing correlation…

Statistical Mechanics · Physics 2015-03-17 Asja Jelic , Leticia F. Cugliandolo

The dynamics of quantum phase transitions poses one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of…

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

Quantum Physics · Physics 2026-01-21 Chengxiang Ding , Long Zhang

We study the quench dynamics of the topological quantum phase transition in the two-dimensional transverse Wen-plaquette model, which has a phase transition from a Z2 topologically ordered to a spin-polarized state. By mapping the…

Quantum Physics · Physics 2015-03-17 Long Zhang , Su-Peng Kou , Youjin Deng

In a scenario of spontaneous symmetry breaking in finite time, topological defects are generated at a density that scale with the driving time according to the Kibble-Zurek mechanism (KZM). Signatures of universality beyond the KZM have…

Statistical Mechanics · Physics 2022-10-12 Fernando J. Gómez-Ruiz , David Subires , Adolfo del Campo

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…

Quantum Physics · Physics 2020-05-06 Zhaoyu Fei , Nahuel Freitas , Vasco Cavina , H. T. Quan , Massimiliano Esposito

Systems passing through quantum critical points at finite rates have a finite probability of undergoing transitions between different eigenstates of the instantaneous Hamiltonian. This mechanism was proposed by Kibble as the underlying…

Quantum Physics · Physics 2017-04-11 Jingfu Zhang , Fernando M. Cucchietti , Raymond Laflamme , Dieter Suter

Quantum quenches display universal scaling in several regimes. For quenches which start from a gapped phase and cross a critical point, with a rate slow compared to the initial gap, many systems obey Kibble-Zurek scaling. More recently, a…

High Energy Physics - Theory · Physics 2017-06-14 Sumit R. Das , Damian A. Galante , Robert C. Myers

Motivated by recent experimental advancements in scanning optical stroboscopic confocal microscopy and spectroscopy measurements, which have facilitated exceptional energy-space-time resolution for investigating edge and bulk dynamics in…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Jie Li , Chen-Xin Jiang , Zi-Xiang Hu

We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a…

Pattern Formation and Solitons · Physics 2015-03-19 M. A. Miranda , J. Burguete , W. González-Viñas , H. Mancini