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We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions ($\propto 1/r^\alpha$ with distance $r$), for finite chains and also directly in the thermodynamic…

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

量子气体 · 物理学 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation…

统计力学 · 物理学 2009-11-13 Michel Pleimling , Ferenc Igloi

We describe non-equilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spatial coupling we observe transitions to ferromagnetic or…

统计力学 · 物理学 2009-11-07 Thomas Birner , Karen Lippert , Reinhard Müller , Adolf Kühnel , Ulrich Behn

We study a 1D-Quantum Ising Model in transverse field driven out of equilibrium by performing a composite quantum quench to deduce the asymptotic properties of the transverse magnetization stationary state via the analysis of the spectral…

统计力学 · 物理学 2019-11-06 Giulia Piccitto , Alessandro Silva

We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums…

量子气体 · 物理学 2015-03-20 P. Calabrese , F. H. L. Essler , M. Fagotti

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

无序系统与神经网络 · 物理学 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

统计力学 · 物理学 2023-07-25 Yusuf Yüksel

Adapting the recent argument of Aizenman, Duminil-Copin and Sidoravicius for the classical Ising model, it is shown here that the magnetization in the transverse-field Ising model vanishes at the critical point. The proof applies to the…

数学物理 · 物理学 2019-12-16 Jakob E. Björnberg

We show that an out-of-equilibrium percolation transition occurs after quenching ferromagnetic Ising-like systems across their magnetic first-order transitions. As a paradigmatic example, we consider a two-dimensional Ising system driven…

统计力学 · 物理学 2026-03-16 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The standard phase-ordering process is obtained by quenching a system, like the Ising model, to below the critical point. This is usually done with periodic boundary conditions to insure ergodicity breaking in the low temperature phase.…

统计力学 · 物理学 2020-07-29 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

We study the current-carrying steady-state of a transverse field Ising chain coupled to magnetic thermal reservoirs and obtain the non-equilibrium phase diagram as a function of the magnetization potential of the reservoirs. Upon increasing…

介观与纳米尺度物理 · 物理学 2019-07-01 T. O. Puel , S. Chesi , S. Kirchner , P. Ribeiro

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

强关联电子 · 物理学 2018-11-06 A. O. Sorokin

The two dimensional ferromagnetic Ising model in the presence of a propagating magnetic field wave (with well defined frequency and wavelength) is studied by Mone Carlo simulation. This study differs from all of the earlier studies done so…

统计力学 · 物理学 2011-09-07 Muktish Acharyya

The nonequilibrium dynamic phase transition, in the two dimensional kinetic Ising model in presence of a randomly varying (in time but uniform in space) magnetic field, has been studied both by Monte Carlo simulation and by solving the mean…

统计力学 · 物理学 2009-10-30 Muktish Acharyya

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…

统计力学 · 物理学 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

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…

强关联电子 · 物理学 2013-01-14 Dirk Schuricht , Fabian H. L. Essler

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…

强关联电子 · 物理学 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We studied the dynamical phase transition in kinetic Ising ferromagnets driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth order Runge-Kutta-Felberg method. The time…

统计力学 · 物理学 2015-05-18 Muktish Acharyya , Ajanta Bhowal

We study dynamical phase transitions from antiferromagnetic to paramagnetic states driven by an interaction quench in the fermionic Hubbard model using the nonequilibrium dynamical mean-field theory. We identify two dynamical transition…

强关联电子 · 物理学 2013-04-16 Naoto Tsuji , Martin Eckstein , Philipp Werner
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