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We show how the dynamics of the Dicke model after a quench from the ground-state configuration of the normal phase into the superradiant phase can be described for a limited time by a simple inverted harmonic oscillator model and that this…

Quantum Physics · Physics 2021-10-19 Karol Gietka , Thomas Busch

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

Motivated by recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields…

Quantum Gases · Physics 2021-06-10 Ryui Kaneko , Yoshihide Douda , Shimpei Goto , Ippei Danshita

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied both by Monte Carlo simulation and by solving numerically the mean field dynamic equation of motion for…

Condensed Matter · Physics 2009-10-28 Muktish Acharyya

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice…

Statistical Mechanics · Physics 2018-06-26 Erol Vatansever , Nikolaos G. Fytas

Quantum Ising model is an exactly solvable model of quantum phase transition. This paper gives an exact solution when the system is driven through the critical point at finite rate. The evolution goes through a series of Landau-Zener level…

Other Condensed Matter · Physics 2009-11-11 Jacek Dziarmaga

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

The Lenz-Ising model has served for almost a century as a basis for understanding ferromagnetism, and has become a paradigmatic model for phase transitions in statistical mechanics. While retaining the Ising energy arguments, we use…

Statistical Mechanics · Physics 2013-06-18 Haley A. Yaple , Daniel M. Abrams

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a non-equilibrium phase transition or a smooth but sharp…

Statistical Mechanics · Physics 2016-11-22 Dominic C. Rose , Katarzyna Macieszczak , Igor Lesanovsky , Juan P. Garrahan

We study the real-time dynamics of the order parameter $<\sigma(t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We…

Strongly Correlated Electrons · Physics 2013-01-14 Dirk Schuricht , Fabian H. L. Essler

Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or…

Statistical Mechanics · Physics 2021-06-02 Ibrahim Kecoglu , A. Nihat Berker

The characterization of quantum phase transitions is a fundamental task for the understanding of quantum phases of matter, with a number of potential applications in quantum technologies. In this work, we use digital quantum simulation as a…

Quantum Physics · Physics 2025-09-04 Alan Duriez , Andreia Saguia , Marcelo S. Sarandy

We discuss the non-equilibrium dynamics of a Quantum Ising Chain (QIC) following a quantum quench of the transverse field and in the presence of a gaussian time dependent noise. We discuss the probability distribution of the work done on…

Statistical Mechanics · Physics 2015-06-17 Jamir Marino , Alessandro Silva

We demonstrate the power of 2D tensor networks for obtaining large deviation functions of dynamical observables in a classical nonequilibrium setting. Using these methods, we analyze the previously unstudied dynamical phase behavior of the…

Statistical Mechanics · Physics 2020-10-07 Phillip Helms , Garnet Kin-Lic Chan

We investigate the quantum dynamics of the transverse field Ising model on the triangular lattice through large-scale quantum Monte Carlo simulations and stochastic analytic continuation. At weak transverse field, we capture for the first…

Strongly Correlated Electrons · Physics 2022-07-28 Zheng Zhou , Chang-Le Liu , Zheng Yan , Yan Chen , Xue-Feng Zhang

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

Response of pure Ising systems to time-dependent external magnetic fields, like pulsed and oscillating fields, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system…

Statistical Mechanics · Physics 2009-11-07 Bikas K. Chakrabarti , Arkajyoti Misra

The quantum mechanical counterpart of the famous Stoner-Wohlfarth model -- an easy-axis magnet in a tilted magnetic field -- is studied theoretically and through simulations, as a function of the spin-size $S$ in a sweeping longitudinal…

Statistical Mechanics · Physics 2016-01-27 Takuya Hatomura , Bernard Barbara , Seiji Miyashita
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