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The spin-Peierls instability describes a structural transition of a crystal due to strong magnetic interactions. Here we demonstrate that cold Coulomb crystals of trapped ions provide an experimental testbed in which to study this complex…

Strongly Correlated Electrons · Physics 2012-07-16 A. Bermudez , M. B. Plenio

We simulate, using nonperturbative methods, the real-time dynamics of small bubbles of "false vacuum" in a quantum spin chain near criticality, where the low-energy physics is described by a relativistic (1+1)-dimensional quantum field…

Quantum Physics · Physics 2024-09-19 Ashley Milsted , Junyu Liu , John Preskill , Guifre Vidal

Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of…

Strongly Correlated Electrons · Physics 2021-01-20 Natalia Chepiga , Frédéric Mila

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

We report a new intermediate regime in the quench time, $\tau_{q}$, separating the usual validity of the Kibble-Zurek mechanism (KZM) and its breakdown for rapid quenches in open systems under finite quench protocols. It manifests in the…

Statistical Mechanics · Physics 2024-08-22 Roy D. Jara , Jayson G. Cosme

Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow spreading of correlations after a sudden quench for times long enough to estimate their propagation velocities. In this work we perform tensor network…

Quantum Gases · Physics 2023-05-03 Jacek Dziarmaga , Jakub M. Mazur

Dynamics of quenching temperature is studied in pure and random Ising chains. Using the Kibble-Zurek argument, we obtain for the pure Ising model that the density of kinks after quenching decays as 1/\sqrt{\tau} with the quench rate of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Sei Suzuki

Large scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave's Advantage$2$ system on a range of lattices. Following extensive comparison to existing numerical methods, these experiments were claimed to…

Quantum Physics · Physics 2026-05-29 Joseph Tindall , Antonio Mello , Matt Fishman , Miles Stoudenmire , Dries Sels

The critical behaviors of quark-hadron phase transition are explored by use of the Ising model adapted for hadron production. Various measures involving the fluctuations of the produced hadrons in bins of various sizes are examined with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. C. Hwa , Y. Wu

We explore the dynamics of spontaneous symmetry breaking in a homogeneous system by thermally quenching an atomic gas with short-range interactions through the Bose-Einstein phase transition. Using homodyne matter-wave interferometry to…

Quantum Gases · Physics 2015-01-12 Nir Navon , Alexander L. Gaunt , Robert P. Smith , Zoran Hadzibabic

We study the nonequilibrium dynamics of the linear to zigzag structural phase transition exhibited by an ion chain confined in a trap with periodic boundary conditions. The transition is driven by reducing the transverse confinement at a…

Using holography, we study the universal scaling laws governing the coarsening dynamics of strongly coupled domain walls. Specifically, we studied the universal dependence of the length of the domain wall interfaces on the quench rate. The…

Statistical Mechanics · Physics 2025-01-29 Tian-Chi Ma , Han-Qing Shi , Hai-Qing Zhang , Adolfo del Campo

We analyze scaling behaviors of simulated annealing carried out on various classical systems with topological order, obtained as appropriate limits of the toric code in two and three dimensions. We first consider the three-dimensional…

Statistical Mechanics · Physics 2018-02-08 Na Xu , Claudio Castelnovo , Roger G. Melko , Claudio Chamon , Anders W. Sandvik

We explore the robustness of universal dynamical scaling behavior in a quantum system near criticality with respect to initialization in a large class of states with finite energy. By focusing on a homogeneous XY quantum spin chain in a…

Statistical Mechanics · Physics 2015-05-20 Shusa Deng , Gerardo Ortiz , Lorenza Viola

The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in…

High Energy Physics - Theory · Physics 2021-10-04 João G. F. Campos , Azadeh Mohammadi

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter…

Statistical Mechanics · Physics 2025-04-28 Fumika Suzuki , Wojciech H. Zurek

We study non-equilibrium dynamics for an ensemble of tilted one-dimensional atomic Bose-Hubbard chains after a sudden quench to the vicinity of the transition point of the Ising paramagnetic to anti-ferromagnetic quantum phase transition.…

In this review, we study the quenching dynamics of a one-dimensional XY Hamiltonian in a transverse field under linear variation of different parameters of the Hamiltonian so that the system is driven through various critical points and…

Statistical Mechanics · Physics 2015-05-14 Uma Divakaran , Victor Mukherjee , Amit Dutta , Diptiman Sen

The Kibble Zurek mechanism in a relativistic $\phi^{4}$ scalar field theory in $D = (1 + 1)$ is studied using uniform matrix product states. The equal time two point function in momentum space $G_{2}(k)$ is approximated as the system is…

Quantum Physics · Physics 2018-08-14 Edward Gillman , Arttu Rajantie

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
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