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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

The Kibble-Zurek (KZ) mechanism has been extensively studied in various second-order phase transitions, yet the case of tricriticality-the point where second-order phase transition lines terminate-remains experimentally elusive. Here, we…

Quantum Gases · Physics 2025-12-02 Hanteng Wang , Xingyu Li , Chengshu Li

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…

Statistical Mechanics · Physics 2020-05-21 Rui-Zhen Huang , Shuai Yin

The celebrated Kibble-Zurek mechanism (KZM) describes the scaling of physical quantities when external parameters sweep through a critical point. Boundaries are ubiquitous in real systems, and critical behaviors near the boundary have…

Statistical Mechanics · Physics 2025-09-15 Yu-Rong Shu , Shuai Yin

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

Measurement-induced phase transitions (MIPT), characterizing abrupt changes in entanglement properties in quantum many-body systems subjected to unitary evolution with interspersed projective measurements, have garnered increasing interest.…

Quantum Physics · Physics 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

In this paper we study the driven critical dynamics in the three-state quantum chiral clock model. This is motivated by a recent experiment, which verified the Kibble-Zurek mechanism and the finite-time scaling in a reconfigurable…

Statistical Mechanics · Physics 2019-05-22 Rui-Zhen Huang , Shuai Yin

The Kibble-Zurek effect is studied around a tricritical point, where the adiabatic-impulse scenario breaks down. Several new scaling forms are also proposed.

Statistical Mechanics · Physics 2025-11-27 Chengshu Li

We study the driven dynamics across the critical points of the Yang-Lee edge singularities (YLESes) in a finite-size quantum Ising chain with an imaginary symmetry-breaking field. In contrast to the conventional classical or quantum phase…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Guang-Yao Huang , Chung-Yu Lo , Pochung Chen

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

In this work, we explore the driven dynamics of the one-dimensional ($1$D) localization transitions. By linearly changing the strength of disorder potential, we calculate the evolution of the localization length $\xi$ and the inverse…

Statistical Mechanics · Physics 2024-03-15 Xuan Bu , Liang-Jun Zhai , Shuai Yin

The study of dynamics in closed quantum systems has recently been revitalized by the emergence of experimental systems that are well-isolated from their environment. In this paper, we consider the closed-system dynamics of an archetypal…

Quantum Gases · Physics 2015-03-04 Michael Kolodrubetz , Emanuel Katz , Anatoli Polkovnikov

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

The conventional Kibble-Zurek scaling describes the scaling behavior in the driven dynamics across a single critical region. In this paper, we study the driven dynamics across an overlapping critical region, in which a critical region…

Statistical Mechanics · Physics 2018-04-13 Liang-Jun Zhai , Huai-Yu Wang , Shuai Yin

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,…

Kibble-Zurek theory (KZ) stands out as the most robust theory of defect generation in the dynamics of phase transitions. KZ utilizes the structure of equilibrium states away from the transition point to estimate the excitations due to the…

Strongly Correlated Electrons · Physics 2021-07-28 Krishanu Roychowdhury , Roderich Moessner , Arnab Das

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical…

Strongly Correlated Electrons · Physics 2025-07-22 Zhi Zeng , Yin-Kai Yu , Zhi-Xuan Li , Zi-Xiang Li , Shuai Yin

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

Statistical Mechanics · Physics 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

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 study the non-equilibrium dynamics due to slowly taking a quasiperiodic Hamiltonian across its quantum critical point. The special quasiperiodic Hamiltonian that we study here has two different types of critical lines belonging to two…

Statistical Mechanics · Physics 2020-04-23 Revathy B. S. , Uma Divakaran
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