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Periodically driven quantum systems host a range of non-equilibrium phenomena which are unrealizable at equilibrium. Discrete time-translational symmetry in a periodically driven many-body system can be spontaneously broken to form a…

Mesoscale and Nanoscale Physics · Physics 2019-06-11 James O'Sullivan , Oliver Lunt , Christoph W. Zollitsch , M. L. W. Thewalt , John J. L. Morton , Arijeet Pal

We study how a fluctuating domain wall in three dimensions modifies bulk observables in a gapped phase. We introduce an effective interaction between the wall and the lightest bulk massive mode, and identify the regime in which this…

High Energy Physics - Theory · Physics 2026-04-13 J. M. Viana Parente Lopes , José Matos , Joao Penedones

We performed a high statistics simulation of Ising spins coupled to 2D quantum gravity on toroidal geometries. The tori were triangulated using the Regge calculus approach and contained up to $512^2$ vertices. We used a constant area…

High Energy Physics - Lattice · Physics 2009-10-22 C. Holm , W. Janke

We revisit the long time dynamics of the spherical fully connected $p = 2$-spin glass model when the number of spins $N$ is large but {\it finite}. At $T=0$ where the system is in a (trivial) spin-glass phase, and on long time scale $t…

Disordered Systems and Neural Networks · Physics 2016-01-08 Yan V. Fyodorov , Anthony Perret , Gregory Schehr

The approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r^{-\alpha} at large distances r with an exponent $\alpha$ not exceeding the lattice dimension. For a large class of…

Quantum Physics · Physics 2011-03-31 Michael Kastner

In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model.…

Statistical Mechanics · Physics 2022-02-21 Giulio Pettini , Matteo Gori , Roberto Franzosi , Cecilia Clementi , Marco Pettini

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

Statistical Mechanics · Physics 2015-03-19 Robert L. Jack , Ludovic Berthier

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

Statistical Mechanics · Physics 2009-10-31 O. J. O'Loan , M. R. Evans

We consider 3D active plane rotators, where the interaction between the spins is of XY-type and where each spin is driven to rotate. For the clock-model, when the spins take N\gg1 possible values, we conjecture that there are two…

Mathematical Physics · Physics 2015-05-28 Christian Maes , Senya Shlosman

We continue our study of Gibbs-non-Gibbs dynamical transitions. In the present paper we consider a system of Ising spins on a large discrete torus with a Kac-type interaction subject to an independent spin-flip dynamics…

Mathematical Physics · Physics 2015-06-17 Roberto Fernández , Frank den Hollander , Julián Martínez

We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the…

Statistical Mechanics · Physics 2015-05-27 A. Prados , L. L. Bonilla , A. Carpio

Discrete Floquet time crystals (DFTC) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet driven systems. In analogy with equilibrium critical points, also time-crystalline…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Solfanelli , Lorenzo Correale , Nicolò Defenu

We studied the dynamic response and stochastic resonance of kinetic Ising spin system (ISS), subject to the joint external field of weak sinusoidal modulation and stochastic white-noise, through solving the mean-field equation of motion…

Statistical Mechanics · Physics 2009-11-10 Y. Z. Shao , W. R. Zhong , G. M. Lin , J. C. Li

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

It is believed that the $\pm J$ Ising spin-glass does not order at finite temperatures in dimension $d=2$. However, using a graphical representation and a contour argument, we prove rigorously the existence of a finite-temperature phase…

Disordered Systems and Neural Networks · Physics 2022-09-21 Yan Ru Pei , Massimiliano Di Ventra

We study a class of spin-$1/2$ quantum ladder models with generalised plaquette interactions in the presence of a transverse field. We show that in certain parameter regimes these models have strong zero modes responsible for the long…

Statistical Mechanics · Physics 2019-07-31 Loredana M. Vasiloiu , Federico Carollo , Matteo Marcuzzi , Juan P. Garrahan

We consider large deviations of the dynamical activity -- defined as the total number of configuration changes within a time interval -- for mean-field and one-dimensional Ising models, in the presence of a magnetic field. We identify…

Statistical Mechanics · Physics 2020-08-26 Jules Guioth , Robert Jack

We show a dissipative phase transition in a driven nonlinear quantum oscillator in which a discrete time-translation symmetry is spontaneously broken in two different ways. The corresponding regimes display either discrete or incommensurate…

Quantum Physics · Physics 2024-08-13 Albert Cabot , Gianluca Giorgi , Roberta Zambrini

Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions. Here we report the surprising theoretical…

Strongly Correlated Electrons · Physics 2021-09-22 P. Vorndamme , H. -J. Schmidt , Chr. Schröder , J. Schnack

Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi