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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…

统计力学 · 物理学 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a quantum $\phi^4$-model on a 1D lattice [Phys.…

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

In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the…

量子物理 · 物理学 2019-03-05 F. J. Gómez-Ruiz , A. del Campo

The formation of topological defects after a symmetry-breaking phase transition is an overarching phenomenon that encodes rich information about the underlying dynamics. Kibble-Zurek mechanism (KZM), which describes these nonequilibrium…

Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as…

高能物理 - 格点 · 物理学 2025-06-25 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Amit Singh

We study the formation of topological defects in nonequilibrium phase transitions of both classical and quantum field theory. We examine three model systems. 1). The phase transition of a quantum scalar field in a FRW universe is analyzed…

高能物理 - 唯象学 · 物理学 2007-05-23 G. J. Stephens

We study the non-equilibrium dynamics of two dimensional planar ion Coulomb crystals undergoing a structural buckling transition to a three plane configuration, driven by a reduction of the transverse confining frequency. This phase…

统计力学 · 物理学 2022-10-05 Michael Arnold , Ramil Nigmatullin

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

高能物理 - 理论 · 物理学 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

After a quantum phase transition the quantum vacuum can break up to form classical topological defects. We examine this process for scalar field models with $Z_2$ symmetry for different quench rates for the phase transition. We find that…

高能物理 - 理论 · 物理学 2020-09-29 Mainak Mukhopadhyay , Tanmay Vachaspati , George Zahariade

Traversing a continuous phase transition at a finite rate leads to the breakdown of adiabatic dynamics and the formation of topological defects, as predicted by the celebrated Kibble-Zurek mechanism (KZM). We investigate universal…

The Kibble-Zurek (KZ) mechanism renders a theoretical framework for elucidating the formation of topological defects across continuous phase transitions. Nevertheless, it is not immediately clear whether the KZ mechanism applies to…

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…

量子气体 · 物理学 2016-09-14 T. M. Hoang , M. Anquez , M. J. Boguslawski , H. M. Bharath , B. A. Robbins , M. S. Chapman

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric…

强关联电子 · 物理学 2009-11-13 D. Charrier , F. Alet , P. Pujol

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

强关联电子 · 物理学 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

The conventional Kibble-Zurek mechanism (KZM) describes the driven critical dynamics in the Landau-Ginzburg-Wilson (LGW) spontaneous symmetry-breaking phase transitions. However, whether the KZM is still applicable in the deconfined quantum…

统计力学 · 物理学 2020-05-21 Rui-Zhen Huang , Shuai Yin

We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are…

高能物理 - 理论 · 物理学 2020-04-24 Zhi-Hong Li , Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang

The Dicke model with a weak dissipation channel is realized by coupling a Bose-Einstein condensate to an optical cavity with ultra-narrow bandwidth. We explore the dynamical critical properties of the Hepp-Lieb-Dicke phase transition by…

量子气体 · 物理学 2015-03-19 J. Klinder , H. Keßler , M. Wolke , L. Mathey , A. Hemmerich

We demonstrate that the Kibble-Zurek mechanism (KZM) holds for open systems transitioning from a disordered phase to a discrete time crystal (DTC). Specifically, we observe the main signatures of the KZM when the system is quenched into a…

统计力学 · 物理学 2025-07-28 Roy D. Jara , Jayson G. Cosme

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…

统计力学 · 物理学 2020-11-04 Kristóf Hódsági , Márton Kormos