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We explore the defect formation and universally critical dynamics in two-dimensional (2D) two-component Bose-Einstein condensates(BECs) subjected to two types of potential traps: a homogeneous trap and a harmonic trap.We focus on the…

Quantum Gases · Physics 2023-11-15 Yikai Ji , Xizhou Qin , Bin Liu , Yongyao Li , Bo Lu , Xunda Jiang , Chaohong Lee

The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is the key prediction of the Kibble-Zurek mechanism (KZM), and…

Ion traps are a versatile tool to study nonequilibrium statistical physics, due to the tunability of dissipation and nonlinearity. We propose an experiment with a chain of trapped ions, where dissipation is provided by laser heating and…

Pattern Formation and Solitons · Physics 2011-04-06 Tony E. Lee , M. C. Cross

When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a…

Quantum Physics · Physics 2018-11-26 Adolfo del Campo

Quenches in an ion chain can create coherent superpositions of motional states across the linear-zigzag structural transition. The procedure has been described in [Phys. Rev. A 84, 063821 (2011)] and makes use of spin-dependent forces, so…

Quantum Physics · Physics 2012-09-10 Jens D. Baltrusch , Cecilia Cormick , Giovanna Morigi

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

According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in…

Quantum Physics · Physics 2024-07-22 Han-Chuan Kou , Peng Li

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational…

Statistical Mechanics · Physics 2013-10-30 Pietro Silvi , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi , Simone Montangero

When a quantum phase transition is crossed within a finite time, critical slowing down disrupts adiabatic dynamics, resulting in the formation of topological defects. The average density of these defects scales with the quench rate,…

Quantum Physics · Physics 2025-06-12 Oriel Kiss , Daniil Teplitskiy , Michele Grossi , Antonio Mandarino

The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number…

Quantum Physics · Physics 2023-12-06 Federico Balducci , Mathieu Beau , Jing Yang , Andrea Gambassi , Adolfo del Campo

Kibble-Zurek scaling is the scaling of the density of the topological defects formed via the Kibble-Zurek mechanism with respect to the rate at which a system is cooled across a continuous phase transition. Recently, the density of the…

Statistical Mechanics · Physics 2025-03-26 Fan Zhong

In phase transition dynamics involving symmetry breaking, topological defects can be spontaneously created but it is suppressed in a spatially inhomogeneous system due to the spreading of the ordered phase information. We demonstrate the…

Quantum Gases · Physics 2022-12-28 Myeonghyeon Kim , Tenzin Rabga , Yangheon Lee , Junhong Goo , Dalmin Bae , Yong-il Shin

We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are…

High Energy Physics - Theory · Physics 2020-04-24 Zhi-Hong Li , Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang

We study defect generation in a quantum XY-spin chain arising due to the linear drive of the many-body Hamiltonian in the presence of a time-dependent fast Gaussian noise. The main objective of this work is to quantify analytically the…

Statistical Mechanics · Physics 2021-09-08 Manvendra Singh , Suhas Gangadharaiah

We experimentally probe the distribution of kink pairs resulting from driving a one-dimensional quantum Ising chain through the paramagnet-ferromagnet quantum phase transition, using a single trapped ion as a quantum simulator in momentum…

We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism.…

Statistical Mechanics · Physics 2020-06-24 Fernando J. Gómez-Ruiz , Jack J. Mayo , Adolfo del Campo

Kibble-Zurek (KZ) mechanism describes the scaling behavior when driving a system across a continuous symmetry-breaking transition. Previous studies have shown that the KZ-like scaling behavior also lies in the topological transitions in the…

Statistical Mechanics · Physics 2024-10-21 Huan Yuan , Jinyi Zhang , Shuai Chen , Xiaotian Nie

We study the influence of topology on the quench dynamics of a system driven across a quantum critical point. We show how the appearance of certain edge states, which fully characterise the topology of the system, dramatically modifies the…

Strongly Correlated Electrons · Physics 2009-04-15 A. Bermudez , D. Patanè , L. Amico , M. A. Martin-Delgado

The Kibble-Zurek mechanism (KZM) successfully predicts the density of topological defects deposited by the phase transitions, but it is not clear why. Its key conjecture is that, near the critical point of the second-order phase transition,…

Statistical Mechanics · Physics 2025-12-01 Fumika Suzuki , Wojciech H. Zurek

We identify persistent oscillations in a nonintegrable quantum Ising chain. In the integrable chain with nearest-neighbor interactions, the nature, origin, and decay of post-transition oscillations are tied to the Kibble-Zurek mechanism.…

Quantum Physics · Physics 2025-03-27 Francis A. Bayocboc , Jacek Dziarmaga , Marek M. Rams , Wojciech H. Zurek