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We study the out-of-equilibrium dynamics of $p$-wave superconducting quantum wires with long-range interactions, when the chemical potential is linearly ramped across the topological phase transition. We show that the heat produced after…

量子物理 · 物理学 2019-11-27 Nicolò Defenu , Giovanna Morigi , Luca Dell'Anna , Tilman Enss

We investigate an extension of the quantum Ising model in one spatial dimension including long-range $1 / r^{\alpha}$ interactions in its statics and dynamics with possible applications from heteronuclear polar molecules in optical lattices…

量子气体 · 物理学 2017-09-15 Daniel Jaschke , Kenji Maeda , Joseph D. Whalen , Michael L. Wall , Lincoln D. Carr

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…

量子物理 · 物理学 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

We propose a theory to explain the experimental observed deviation from the Kibble-Zurek mechanism (KZM) scaling in rapidly quenched critical phase transition dynamics. There is a critical quench rate $\tau_{Q}^{c1}$ above it the KZM…

统计力学 · 物理学 2021-10-18 Chuan-Yin Xia , Hua-Bi Zeng

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…

量子物理 · 物理学 2026-01-21 Chengxiang Ding , Long Zhang

The Kibble-Zurek (KZ) hypothesis identifies the relevant time scales in out-of-equilibrium dynamics of critical systems employing concepts valid at equilibrium: It predicts the scaling of the defect formation immediately after quenches…

量子物理 · 物理学 2016-06-08 Pietro Silvi , Giovanna Morigi , Tommaso Calarco , Simone Montangero

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

统计力学 · 物理学 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

The Kibble-Zurek mechanism (KZM) predicts that when a system is driven through a continuous phase transition, the density of topological defects scales universally with the quench rate. Recent theoretical work [H.-B. Zeng \textit{et al.},…

量子物理 · 物理学 2025-06-10 Xinxin Rao , Yang Liu , Mingshen Li , Teng Liu , Huabi Zeng , Le Luo

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

Long-range interacting spin systems are ubiquitous in physics and exhibit a variety of ground state disorder-to-order phase transitions. We consider a prototype of infinite-range interacting models known as the Lipkin-Meshkov-Glick (LMG)…

量子气体 · 物理学 2020-07-29 Paraj Titum , Mohammad F. Maghrebi

We consider the finite-time quench dynamics in the quantum transverse field Ising model which exhibits a second order phase transition from a paramagnetic to a ferromagnetic phase, as the transverse magnetic field is decreased. These…

统计力学 · 物理学 2025-04-08 Lakshita Jindal , Kavita Jain

We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven…

统计力学 · 物理学 2020-05-27 Davide Rossini , Ettore Vicari

When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations produced. This mechanism is now being used to obtain…

量子物理 · 物理学 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

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…

统计力学 · 物理学 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance. We are interested in the Kibble-Zurek universal scaling laws emerging…

量子物理 · 物理学 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

We consider a one-dimensional interacting spinless fermion model, which displays the well-known Luttinger liquid (LL) to charge density wave (CDW) transition as a function of the ratio between the strength of the interaction, $U$, and the…

强关联电子 · 物理学 2018-03-28 D. M. Kennes , A. de la Torre , A. Ron , D. Hsieh , A. J. Millis

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…

强关联电子 · 物理学 2016-06-29 James Hamp , Anushya Chandran , Roderich Moessner , Claudio Castelnovo

We investigate the multipartite entanglement for a slow quantum quench crossing a critical point. We consider the quantum Ising model and the Lipkin-Meshkov-Glick model, which are local and full-connected quantum systems, respectively. The…

量子物理 · 物理学 2024-11-25 Hao-Yu Sun , Zi-Yong Ge , Heng Fan

Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. It establishes a power law connection between non-equilibrium defects quenched through a continuous phase transition and the…

量子物理 · 物理学 2024-07-23 Amit Jamadagni , Javad Kazemi , Arpan Bhattacharyya

The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the…

量子气体 · 物理学 2020-05-26 L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , H. -X. Yang , T. Tian , Y. Xu , L. -M. Duan
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