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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

We study the nonadiabatic dynamics of a two-dimensional higher-order topological insulator when the system is slowly quenched across the boundary-obstructed phase transition, which is characterized by edge band gap closing. We find that the…

Statistical Mechanics · Physics 2024-07-29 Menghua Deng , Zhoujian Sun , Fuxiang Li

We study the vortex nucleation dynamics in inhomogeneous atomic Bose gases quenched into a superfluid phase and investigate the dependence of the Kibble-Zurek (KZ) scaling exponent on the underlying trap configuration. For samples in a…

Quantum Gases · Physics 2023-11-30 Tenzin Rabga , Yangheon Lee , Dalmin Bae , Myeonghyeon Kim , Yong-il Shin

The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap…

Statistical Mechanics · Physics 2020-10-01 Björn Ladewig , Steven Mathey , Sebastian Diehl

We study the non-equilibrium dynamics of quenching through a quantum critical point in topological systems, focusing on one of their defining features: ground state degeneracies and associated topological sectors. We present the notion of…

Strongly Correlated Electrons · Physics 2014-07-02 G. Kells , D. Sen , J. K. Slingerland , S. Vishveshwara

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 consider the time-dependent transverse field Ising chain with time-periodic perturbations. Without perturbations, this model is one of the famous models that obeys the scaling in the adiabatic limit predicted by the quantum Kibble-Zurek…

Quantum Physics · Physics 2023-08-09 Takayuki Suzuki , Kaito Iwamura

Structural defects in ion crystals can be formed during a linear quench of the transverse trapping frequency across the mechanical instability from a linear chain to the zigzag structure. The density of defects after the sweep can be…

Statistical Mechanics · Physics 2010-12-02 Gabriele De Chiara , Adolfo del Campo , Giovanna Morigi , Martin B. Plenio , Alex Retzker

While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that…

Statistical Mechanics · Physics 2025-10-16 Pierre Nazé , Marcus V. S. Bonança , Sebastian Deffner

We employ quench dynamics as an effective tool to probe different universality classes of topological phase transitions. Specifically, we study a model encompassing both Dirac-like and nodal loop criticalities. Examining the Kibble-Zurek…

Statistical Mechanics · Physics 2022-12-06 Karin Sim , R. Chitra , Paolo Molignini

We propose an interferometry within the framework of quantum Kibble-Zurek mechanism by exemplifying two prototypical quench protocols, namely the round-trip and quarter-turn ones, on the transverse Ising and quantum $XY$ chains. Each…

Quantum Physics · Physics 2022-11-23 Han-Chuan Kou , Peng Li

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

In a real system the heating is nonuniform and a second-order phase transition into a broken symmetry phase occurs by propagation of the temperature front. Two parameters, the cooling rate $\tau_Q$ and the velocity $v_T$ of the transition…

Condensed Matter · Physics 2009-10-28 T. W. B. Kibble , G. E. Volovik

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…

Statistical Mechanics · Physics 2025-10-10 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The Kibble-Zurek mechanism is applied to the spontaneous formation of vortices in a harmonically trapped thermal gas following a temperature quench through the critical value for Bose-Einstein condensation. While in the homogeneous scenario…

Quantum Gases · Physics 2012-05-21 A. del Campo , A. Retzker , M. B. Plenio

A new experiment has been performed to study the formation of topological defects (quantized vortices) during rapid quenches of liquid 4He through the superfluid transition, with particular care taken to minimise vortex creation via…

Soft Condensed Matter · Physics 2009-10-31 M. E. Dodd , P. C. Hendry , N. S. Lawson , P. V. E. McClintock , C. D. H. Williams

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

How topological defects, unavoidable at symmetry-breaking phase transitions in a wide range of systems, evolve through consecutive phase transitions with different broken symmetries remains unexplored. Nd2SrFe2O7, a bilayer ferrite,…

Other Condensed Matter · Physics 2021-06-30 Fei-Ting Huang , Yanbin Li , Fei Xue , Jae-Wook Kim , Lunyong Zhang , Ming-Wen Chu , Long-Qing Chen , Sang-Wook Cheong

Symmetry breaking phase transitions are an example of non-equilibrium processes that require real time treatment, a major challenge in strongly coupled systems without long-lived quasiparticles. Holographic duality provides such an approach…

High Energy Physics - Theory · Physics 2015-06-29 Julian Sonner , Adolfo del Campo , Wojciech H. Zurek

In this work we address the impact of a cubic term addition to the Ginzburg-Landau mean-field potential, and study the consequences on the description of first order phase transitions in superconductors. Constraints are obtained from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jorge Paramos
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