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After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping…

Quantum Gases · Physics 2022-09-27 Huan Wang , Xiayao He , Shuai Li , Hongrong Li , Bo Liu

The study by Glauber of the time-dependent statistics of the Ising chain is extended to the case where each spin is influenced unequally by its nearest neighbours. The asymmetry of the dynamics implies the failure of the detailed balance…

Statistical Mechanics · Physics 2015-05-27 Claude Godreche

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We analyze the coherent quantum evolution of a many-particle system after slowly sweeping a power-law confining potential. The amplitude of the confining potential is varied in time along a power-law ramp such that the many-particle system…

Statistical Mechanics · Physics 2015-05-19 Mario Collura , Dragi Karevski

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

We study the short-time dynamics of systems that develop ``quasi long-range order'' after a quench to the Kosterlitz-Thouless phase. With the working hypothesis that the ``universal short-time behavior'', previously found in Ising-like…

Condensed Matter · Physics 2009-10-28 P. Czerner , U. Ritschel

We investigate the nonequilibrium dynamics induced by an interaction quench in the semiclassical Holstein model within the Ehrenfest nonadiabatic framework, which describes an isolated hybrid quantum-classical system with strictly conserved…

Strongly Correlated Electrons · Physics 2026-02-06 Ho Jang , Gia-Wei Chern

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

In this paper we study the driven critical dynamics in the three-state quantum chiral clock model. This is motivated by a recent experiment, which verified the Kibble-Zurek mechanism and the finite-time scaling in a reconfigurable…

Statistical Mechanics · Physics 2019-05-22 Rui-Zhen Huang , Shuai Yin

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…

Quantum Physics · Physics 2021-08-11 Nicolò Defenu

We study the time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c to the critical point, in the semi-infinite geometry. Shortly after the quench, like in the bulk, a nonequilibrium regime…

Condensed Matter · Physics 2009-10-28 U. Ritschel , P. Czerner

Via computer simulations we study evolution dynamics in systems of continuously moving Active Brownian Particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of uniform…

Soft Condensed Matter · Physics 2022-12-14 Florian Dittrich , Jiarul Midya , Peter Virnau , Subir K. Das

We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an overview of quantum phase transitions, we introduce a number…

Statistical Mechanics · Physics 2015-06-10 Amit Dutta , Gabriel Aeppli , Bikas K. Chakrabarti , Uma Divakaran , Thomas F. Rosenbaum , Diptiman Sen

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

Statistical Mechanics · Physics 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

Statistical Mechanics · Physics 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

We apply a generalized Kibble-Zurek out-of-equilibrium scaling ansatz to simulated annealing when approaching the spin-glass transition at temperature $T=0$ of the two-dimensional Ising model with random $J= \pm 1$ couplings. Analyzing the…

Statistical Mechanics · Physics 2017-05-31 Shanon J. Rubin , Na Xu , Anders W. Sandvik

By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. Starting from a fully polarized ferromagnetic initial…

Quantum Gases · Physics 2020-07-15 Reyhaneh Khasseh , Angelo Russomanno , Markus Schmitt , Markus Heyl , Rosario Fazio

The Ising model on networks plays a fundamental role as a testing ground for understanding cooperative phenomena in complex systems. Here we solve the synchronous dynamics of the Ising model on random graphs with an arbitrary degree…

Statistical Mechanics · Physics 2023-03-21 Leonardo S. Ferreira , Fernando L. Metz

We study analytically and numerically quench dynamics and defects formation in the quantum Ising model in the presence of a time-dependent transverse magnetic field. We generalize the Landau-Ziner formula to the case of non-adiabatic…

Statistical Mechanics · Physics 2019-01-01 Alexander I Nesterov , Mónica F Ramírez