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We review several parallel tempering schemes and examine their main ingredients for accuracy and efficiency. The present study covers two selection methods of temperatures and several choices for the exchange of replicas, including a recent…

统计力学 · 物理学 2015-06-16 A. Malakis , T. Papakonstantinou

We propose a self-adapted Monte Carlo approach to automatically determine the critical temperature by simulating two systems with different sizes at the same temperature. The temperature is increased or decreased by checking the short-time…

统计力学 · 物理学 2020-11-10 Tasrief Surungan , Yutaka Okabe

Thermal boundary conditions has played an increasingly important role in revealing the nature of short-range spin glasses and is likely to be relevant also for other disordered systems. Diffusion method initializing each replica with a…

无序系统与神经网络 · 物理学 2016-06-22 Wenlong Wang

We study near-equilibrium thermodynamics of bosonic atoms in a two-dimensional optical lattice by ramping up the lattice depth to convert a superfluid into an inhomogeneous mixture of superfluid and Mott insulator. Detailed study of in situ…

量子气体 · 物理学 2013-05-29 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

The pursuit of high optical depth and long coherence time in atomic ensembles faces a fundamental thermodynamic constraint: heating enhances light-atom coupling via increased density but degrades coherence through thermal broadening, while…

原子物理 · 物理学 2025-05-06 Changhao Cheng , Jinxian Guo

In this paper we develop a new general Bayesian methodology that simultaneously estimates parameters of interest and the marginal likelihood of the model. The proposed methodology builds on Simulated Tempering, which is a powerful algorithm…

统计计算 · 统计学 2019-06-03 Biljana Jonoska Stojkova , David A. Campbell

Semiclassical Gaussian approximations to the Boltzmann operator have become an important tool for the investigation of thermodynamic properties of clusters of atoms at low temperatures. Usually, numerically expensive thawed Gaussian…

化学物理 · 物理学 2011-01-26 Holger Cartarius , Eli Pollak

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

Thermal cycling is an heuristic optimization algorithm which consists of cyclically heating and quenching by Metropolis and local search procedures, respectively, where the amplitude slowly decreases. In recent years, it has been…

无序系统与神经网络 · 物理学 2017-08-23 A. Mobius , K. H. Hoffmann , C. Schon

Parallel tempering, also known as replica exchange sampling, is an important method for simulating complex systems. In this algorithm simulations are conducted in parallel at a series of temperatures, and the key feature of the algorithm is…

概率论 · 数学 2012-06-14 Paul Dupuis , Yufei Liu , Nuria Plattner , J. D. Doll

Optimisation problems in science and engineering typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this…

量子物理 · 物理学 2016-03-08 Nicholas Chancellor , Szilard Szoke , Walter Vinci , Gabriel Aeppli , Paul A. Warburton

Stochastic gradient Markov chain Monte Carlo (SG-MCMC) methods are Bayesian analogs to popular stochastic optimization methods; however, this connection is not well studied. We explore this relationship by applying simulated annealing to an…

机器学习 · 统计学 2016-08-08 Changyou Chen , David Carlson , Zhe Gan , Chunyuan Li , Lawrence Carin

Annealing has proven highly successful in finding minima in a cost landscape. Yet, depending on the landscape, systems often converge towards local minima rather than global ones. In this Letter, we analyse the conditions for which…

统计力学 · 物理学 2023-11-20 Yutong Luo , Yi-Zheng Zhen , Xiangjing Liu , Daniel Ebler , Oscar Dahlsten

Nonadiabatic unitary evolution with tailored time-dependent Hamiltonians can prepare systems of cold atomic gases with various desired properties. For a system of two one-dimensional quasicondensates coupled with a time-varying tunneling…

量子气体 · 物理学 2013-04-09 Armin Rahmani , Takuya Kitagawa , Eugene Demler , Claudio Chamon

Boltzmann machines (BMs) are powerful energy-based generative models, but their heavy training cost has largely confined practical use to Restricted BMs (RBMs) trained with an efficient learning method called contrastive divergence. More…

机器学习 · 计算机科学 2025-12-03 Kentaro Kubo , Hayato Goto

A variety of generative neural networks recently adopted from machine learning have provided promising strategies for studying quantum matter. In particular, the success of autoregressive models in natural language processing has motivated…

量子物理 · 物理学 2025-08-20 Tarun Advaith Kumar , Leon Balents , Timothy H. Hsieh , Roger G. Melko

A stochastic inverse heat transfer problem is formulated to infer the transient heat flux, treated as an unknown Neumann boundary condition. Therefore, an Ensemble-based Simultaneous Input and State Filtering as a Data Assimilation…

数值分析 · 数学 2024-03-01 Kabir Bakhshaei , Umberto Emil Morelli , Giovanni Stabile , Gianluigi Rozza

Parallel tempering is a meta-algorithm for Markov Chain Monte Carlo that uses multiple chains to sample from tempered versions of the target distribution, enhancing mixing in multi-modal distributions that are challenging for traditional…

统计计算 · 统计学 2024-12-30 Daniel Zhao , Natesh S. Pillai

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…

统计力学 · 物理学 2017-05-31 Shanon J. Rubin , Na Xu , Anders W. Sandvik

We study the behavior of an assembly of $N$ granular particles contained in two compartments within a simple kinetic approach. The particles belonging to each compartment collide inelastically with each other and are driven by a stochastic…

统计力学 · 物理学 2009-11-10 U. Marini Bettolo Marconi , A. Puglisi