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The formation of topological defects in second-order phase transitions can be investigated by solving partial differential equations for the evolution of the order parameter in space and time, such as the Langevin equation. We demonstrate…

统计力学 · 物理学 2025-12-02 Fumika Suzuki , Wojciech H. Zurek

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,…

We uncover an aspect of the Kibble--Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in directions parallel to the phase…

统计力学 · 物理学 2020-02-14 Steven Mathey , Sebastian Diehl

An analytically solvable model for quasi-static transformations across quantum critical points featuring Bosonic quasi-particle excitations is presented. The model proves that adiabaticity breakdown is a general feature of universal slow…

量子物理 · 物理学 2021-08-11 Nicolò Defenu

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

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

统计力学 · 物理学 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

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 study the out-of-equilibrium Kibble-Zurek (KZ) dynamics in quantum Ising chains in a transverse field, driven by a time-dependent longitudinal field $h(t)=t/t_s$ ($t_s$ is the time scale of the protocol), across their first-order quantum…

统计力学 · 物理学 2025-10-10 Andrea Pelissetto , Davide Rossini , Ettore Vicari

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…

统计力学 · 物理学 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

While a large number of studies have focused on the nonequilibrium dynamics of a system when it is quenched instantaneously from a disordered phase to an ordered phase, such dynamics have been relatively less explored when the quench occurs…

统计力学 · 物理学 2022-03-22 Priyanka , Sayani Chatterjee , 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

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…

量子物理 · 物理学 2026-04-21 Jose Soto Garcia , Natalia Chepiga

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

Nonequilibrium many-body physics is one of the core problems in modern physics, while the dynamical scaling from a gapless phase to the critical point is a most important challenge with very few knowledge so far. In the driven dynamics with…

强关联电子 · 物理学 2026-02-17 Zhe Wang , Chengxiang Ding , Dongxu Liu , Fuxiang Li , Zheng Yan , Shuai Yin

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.…

量子物理 · 物理学 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

Geometric quantum speed limits quantify the trade-off between the rate with which quantum states can change and the resources that are expended during the evolution. Counterdiabatic driving is a unique tool from shortcuts to adiabaticity to…

量子物理 · 物理学 2020-07-29 Ricardo Puebla , Sebastian Deffner , Steve Campbell

We study the effects of symmetry-breaking perturbations in the out-of-equilibrium quantum dynamics of many-body systems slowly driven across a continuous quantum transition (CQT) by a time-dependent symmetry-preserving parameter. For this…

统计力学 · 物理学 2023-04-12 Francesca De Franco , Ettore Vicari

We study the equilibrium and dynamical properties of a ferromagnetic spinor atomic Bose-Einstein condensate. In the vicinity of the critical point for a continuous quantum phase transition, universal behaviors are observed both in the…

量子气体 · 物理学 2018-07-25 Ming Xue , Shuai Yin , Li You

Symmetry-breaking quantum phase transitions lead to the production of topological defects or domain walls in a wide range of physical systems. In second-order transitions, these exhibit universal scaling laws described by the Kibble-Zurek…

量子气体 · 物理学 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh

We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

统计力学 · 物理学 2010-10-28 Jacek Dziarmaga , Marek M. Rams