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We employ holographic techniques to explore the effects of momentum dissipation on the formation of topological defects during the critical dynamics of a strongly coupled superconductor after a linear quench of temperature. The gravity dual…

High Energy Physics - Theory · Physics 2021-05-19 Zhi-Hong Li , Hua-Bi Zeng , Hai-Qing Zhang

We introduce a one-dimensional version of the Kitaev model consisting of spins on a two-legged ladder and characterized by Z_2 invariants on the plaquettes of the ladder. We map the model to a fermionic system and identify the topological…

Statistical Mechanics · Physics 2015-05-18 Diptiman Sen , Smitha Vishveshwara

Based on the strong-disorder renormalization group method, a microscopic mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain is proposed, which represents the annealing process as a gradual…

Statistical Mechanics · Physics 2025-09-19 Róbert Juhász

Using Monte Carlo simulations, we investigate the dynamical properties of the Baxter-Wu (BW) model under linear quenches. For the linear cooling process, the scaling behavior of the excess defect density in the critical region aligns well…

Statistical Mechanics · Physics 2025-04-01 Chen Tang , Konstantinos Sfairopoulos , Wanzhou Zhang , Chengxiang Ding

When a second-order phase transition is crossed at fine rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of the critical point. In systems with a topologically nontrivial…

Statistical Mechanics · Physics 2013-09-13 A. del Campo , T. W. B. Kibble , W. H. Zurek

Non-Hermitian physics provides an effective description of open and nonequilibrium systems and hosts many novel and intriguing phenomena such as exceptional points and non-Hermitian skin effect. Despite extensive theoretical and…

Quantum Physics · Physics 2024-11-04 Menghua Deng , Wei Li , Kangyi Hu , Fuxiang Li

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

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent…

Statistical Mechanics · Physics 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

Slow variations (quenches) of the magnetic field across the paramagnetic-ferromagnetic phase transition of spin systems produce heat. In systems with short-range interactions the heat exhibits universal power-law scaling as a function of…

Quantum Gases · Physics 2018-12-19 Nicolo Defenu , Tilman Enss , Michael Kastner , Giovanna Morigi

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

In a finite-time continuous phase transition, topological defects emerge as the system undergoes spontaneous symmetry breaking. The Kibble-Zurek mechanism predicts how the defect density scales with the quench rate. During such processes,…

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 crossing of the quantum phase transition in the transverse-field Ising model after modulating the magnetic field at an arbitrary rate, exploring the critical dynamics from the slow to the sudden quench regime. We do so by…

Statistical Mechanics · Physics 2025-05-05 András Grabarits , Federico Balducci , Adolfo del Campo

The superfluid phase transition dynamics and associated spontaneous vortex formation with the crossing of the critical temperature in a disk geometry is studied in the framework of the $AdS/CFT$ correspondence by solving the…

Statistical Mechanics · Physics 2024-06-17 Chuan-Yin Xia , Hua-Bi Zeng , András Grabarits , Adolfo del Campo

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

When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations produced. This mechanism is now being used to obtain…

Quantum Physics · Physics 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

We consider a one-dimensional classical ferromagnetic Ising model when it is quenched from a low temperature to zero temperature in finite time using Glauber or Kawasaki dynamics. Most of the previous work on finite-time quenches assume…

Statistical Mechanics · Physics 2024-01-10 Lakshita Jindal , Kavita Jain

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 study the nonequilibrium dynamics leading to the formation of topological defects in a symmetry-breaking phase transition of a quantum scalar field with \lambda\Phi^4 self-interaction in a spatially flat, radiation-dominated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. J. Stephens , E. A. Calzetta , B. L. Hu , S. A. Ramsey
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