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Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations. These fluctuations play a dominant role in the quantum critical region surrounding the transition point,…

The Kibble-Zurek mechanism constitutes one of the most fascinating and universal phenomena in the physics of critical systems. It describes the formation of domains and the spontaneous nucleation of topological defects when a system is…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 A. Zamora , G. Dagvadorj , P. Comaron , I. Carusotto , N. P. Proukakis , M. H. Szymanska

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…

Quantum Physics · Physics 2025-12-05 Laetitia P. Bettmann , Artur M. Lacerda , Mark T. Mitchison , John Goold

Universal dynamics of spontaneous symmetry breaking is central to understanding the universal behavior of spontaneous defect formation in various system from the early universe, condensed-matter systems to ultracold atomic systems. We…

Quantum Gases · Physics 2016-04-20 Jun Xu , Shuyuan Wu , Xizhou Qin , Jiahao Huang , Yongguan Ke , Honghua Zhong , Chaohong Lee

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

Scale invariance and self-similarity in physics provide a unified framework to classify phases of matter and dynamical properties near equilibrium in both classical and quantum systems. This paradigm has been further extended to isolated…

The Kibble-Zurek (KZ) mechanism has been applied to a variety of systems ranging from low temperature Bose-Einstein condensations to grand unification scales in particle physics and cosmology and from classical phase transitions to quantum…

Statistical Mechanics · Physics 2017-02-15 Yingyi Huang , Shuai Yin , Baoquan Feng , Fan Zhong

We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as…

Quantum Physics · Physics 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

We investigate, both experimentally and theoretically, the quench dynamics of antiferromagnetic spinor Bose-Einstein condensates in the vicinity of a zero temperature quantum phase transition at zero quadratic Zeeman shift q. Both the rate…

Quantum Gases · Physics 2014-10-14 A. Vinit , C. Raman

Spontaneous symmetry breaking occurs in a physical system whenever the ground state does not share the symmetry of the underlying theory, e.g., the Hamiltonian. It gives rise to massless Nambu-Goldstone modes and massive Anderson-Higgs…

Quantum Gases · Physics 2016-09-14 T. M. Hoang , M. Anquez , M. J. Boguslawski , H. M. Bharath , B. A. Robbins , M. S. Chapman

Universal scaling laws govern the density of topological defects generated while crossing an equilibrium continuous phase transition. The Kibble-Zurek mechanism (KZM) predicts the dependence on the quench time for slow quenches. By…

Statistical Mechanics · Physics 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

We study the driven critical dynamics with an equilibrium initial state near a quantum critical point. In contrast to the original Kibble-Zurek mechanism, which describes the driven dynamics starting from an adiabatic stage that is far from…

Statistical Mechanics · Physics 2016-08-29 Shuai Yin , Chung-Yu Lo , Pochung Chen

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent…

Statistical Mechanics · Physics 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

When a classical system is driven through a continuous phase transition, its nonequilibrium response is universal and exhibits Kibble-Zurek scaling. We explore this dynamical scaling in the novel context of a three-dimensional topological…

Strongly Correlated Electrons · Physics 2016-06-29 James Hamp , Anushya Chandran , Roderich Moessner , Claudio Castelnovo

We have experimentally investigated the quench dynamics of antiferromagnetic spinor Bose-Einstein condensates in the vicinity of a zero temperature quantum phase transition at zero quadratic Zeeman shift $q$. The rate of instability shows…

Quantum Gases · Physics 2017-02-01 A. Vinit , C. Raman

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…

Statistical Mechanics · Physics 2020-11-04 Kristóf Hódsági , Márton Kormos

When a system is driven across a quantum critical point at a constant rate its evolution must become non-adiabatic as the relaxation time $\tau$ diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging…

Statistical Mechanics · Physics 2016-02-22 Anna Francuz , Jacek Dziarmaga , Bartlomiej Gardas , Wojciech H. Zurek

We consider the Rabi Hamiltonian which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition…

Quantum Physics · Physics 2015-10-30 Myung-Joong Hwang , Ricardo Puebla , Martin B. Plenio