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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

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

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

If a system is driven at finite-rate through a phase transition by varying an intensive parameter, the order parameter shatters into finite domains. The Kibble-Zurek mechanism predicts the typical size of these domains, which are governed…

Statistical Mechanics · Physics 2017-11-20 Sebastian Deffner

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…

Quantum Physics · Physics 2024-07-23 Amit Jamadagni , Javad Kazemi , Arpan Bhattacharyya

When a system is swept through a quantum critical point (QCP), the Kibble-Zurek mechanism predicts that the average number of topological defects follows a universal power-law scaling with the ramp time scale. This scaling behavior is…

Statistical Mechanics · Physics 2026-05-19 R. Jafari , Alireza Akbari

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 give an overview of the scaling of density of quasi-particles and excess energy (heat) for nearly adiabatic dynamics near quantum critical points (QCPs). In particular we discuss both sudden quenches of small amplitude and slow sweeps…

Statistical Mechanics · Physics 2010-05-19 Vladimir Gritsev , Anatoli Polkovnikov

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

High Energy Physics - Theory · Physics 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

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

Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determine the dynamical evolution of the system…

Statistical Mechanics · Physics 2012-09-20 Anushya Chandran , Amir Erez , Steven S. Gubser , S. L. Sondhi

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

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

We demonstrate the existence of universal features in the finite-time thermodynamics of quantum machines by considering a many-body quantum Otto cycle in which the working medium is driven across quantum critical points during the unitary…

Quantum Physics · Physics 2020-11-20 Revathy B. S. , Victor Mukherjee , Uma Divakaran , Adolfo del Campo

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…

Quantum Gases · Physics 2017-09-15 Daniel Jaschke , Kenji Maeda , Joseph D. Whalen , Michael L. Wall , Lincoln D. Carr

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,…

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…

Quantum Physics · Physics 2019-03-05 F. J. Gómez-Ruiz , A. del Campo

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…

Quantum Physics · Physics 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

In this paper we address the question how the Kibble-Zurek mechanism, which describes the formation of topological defects in quantum systems subjected to a quench across a critical point, is generalized to the same scenario but for…

Quantum Physics · Physics 2017-12-06 Patrik Hedvall , Jonas Larson

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
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