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The question of the number of thermodynamic states present in the low-temperature phase of the three-dimensional Edwards-Anderson Ising spin glass is addressed by studying spin and link overlap distributions using population annealing Monte…

Disordered Systems and Neural Networks · Physics 2017-11-22 Wenlong Wang , Jonathan Machta , Humberto Munoz-Bauza , Helmut G. Katzgraber

A theoretical description of the low-temperature phase of short-range spin glasses has remained elusive for decades. In particular, it is unclear if theories that assert a single pair of pure states, or theories that are based infinitely…

Disordered Systems and Neural Networks · Physics 2014-11-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

We present a large-scale simulation of the three-dimensional Ising spin glass with Gaussian disorder to low temperatures and large sizes using optimized population annealing Monte Carlo. Our primary focus is investigating the number of pure…

Disordered Systems and Neural Networks · Physics 2021-01-20 Wenlong Wang , Mats Wallin , Jack Lidmar

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfhard Janke , Bernd A. Berg , Alain Billoire

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the…

Disordered Systems and Neural Networks · Physics 2016-08-31 Enzo Marinari , Giorgio Parisi , Juan Ruiz-Lorenzo

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we…

High Energy Physics - Lattice · Physics 2015-06-25 B. A. Berg , T. Celik

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

Disordered Systems and Neural Networks · Physics 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

Population Monte Carlo simulations in the form commonly referred to as population annealing can serve as a useful meta-algorithm for simulating systems with complex free-energy landscapes. In the present paper we provide an easily…

Statistical Mechanics · Physics 2024-01-17 P. L. Ebert , D. Gessert , W. Janke , M. Weigel

Here I will review the theoretical results that have been obtained for spin glasses. I will concentrate my attention on the predictions of the mean field approach in three dimensional systems and on its numerical and experimental…

Disordered Systems and Neural Networks · Physics 2009-11-13 Giorgio Parisi

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

Statistical Mechanics · Physics 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

Some questions concerning the calculation of the number of ``physical'' (metastable) states or complexity of the spherical $p$-spin spin glass model are reviewed and examined further. Particular attention is focused on the general…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Crisanti , L. Leuzzi , T. Rizzo

We study the geometrical structure of the states in the low temperature phase of a mean field model for generalized spin glasses, the p-spin spherical model. This structure cannot be revealed by the standard methods, mainly due to the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Andrea Cavagna , Irene Giardina , Giorgio Parisi

Population annealing is a Monte Carlo algorithm that marries features from simulated annealing and parallel tempering Monte Carlo. As such, it is ideal to overcome large energy barriers in the free-energy landscape while minimizing a…

Disordered Systems and Neural Networks · Physics 2015-07-08 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

Disordered Systems and Neural Networks · Physics 2020-10-27 Erik Hörmann

We discuss an Ising spin glass where each $S=1/2$ spin is coupled antiferromagnetically to three other spins (3-regular graphs). Inducing quantum fluctuations by a time-dependent transverse field, we use out-of-equilibrium quantum Monte…

Quantum Physics · Physics 2015-04-14 Cheng-Wei Liu , Anatoli Polkovnikov , Anders W. Sandvik

We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled…

Disordered Systems and Neural Networks · Physics 2017-09-27 Wolfhard Janke , Bernd A. Berg , Alain Billoire

A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the ground state of a short-range quantum spin-glass model, namely, the two-dimensional Edwards-Anderson Hamiltonian with transverse field, featuring…

Disordered Systems and Neural Networks · Physics 2024-12-24 L. Brodoloni , S. Pilati

We perform Monte Carlo simulations of the Ising spin glass at low temperature in three dimensions with a +/-J distribution of couplings. Our results display crossover scaling between T=0 behavior, where the order parameter distribution P(q)…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Palassini , A. P. Young

We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. A. Moore , Hemant Bokil , Barbara Drossel
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