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We provide a pedagogical introduction to eigenstate thermalization. This phenomenon, which occurs in generic quantum systems, allows one to understand why thermalization takes place in isolated systems under unitary dynamics. We motivate…

Quantum Physics · Physics 2026-04-29 Rohit Patil , Marcos Rigol

The development of novel quantum many-body computational algorithms relies on robust benchmarking. However, generating such benchmarks is often hindered by the massive computational resources required for exact diagonalization or quantum…

Strongly Correlated Electrons · Physics 2025-12-29 Wei-Bo He , Yun-Tong Yang , Hong-Gang Luo

The eigenstate thermalization hypothesis (ETH) postulates that the energy eigenstates of an isolated many-body system are thermal, i.e., each of them already yields practically the same expectation values as the microcanonical ensemble at…

Statistical Mechanics · Physics 2015-05-29 Peter Reimann

We describe a novel method to obtain thermodynamic properties of quantum systems using Baysian Inference -- Maximum Entropy techniques. The method is applicable to energy values sampled at a discrete set of temperatures from Quantum Monte…

Condensed Matter · Physics 2009-10-31 Carey Huscroft , Richard Gass , Mark Jarrell

We present a novel quantum Monte Carlo method based on a path integral in Fock space, which allows to compute finite-temperature properties of a many-body nuclear system with a monopole pairing interaction in the canonical ensemble. It…

Nuclear Theory · Physics 2009-01-23 N. J. Cerf

This paper presents a very straightforward method to compute the transient thermal response to arbitrary power dissipation profiles in electronic devices with multiple heat sources. Using cubic spline interpolation of simulated or measured…

Materials Science · Physics 2007-09-13 D. Schweitzer

The high temperature many-body density matrix is fundamental to path integral computation. The pair approximation, where the interaction part is written as a product of pair density matrices, is commonly used and is accurate to order tau…

Materials Science · Physics 2009-04-29 B. Militzer

We propose a way of implementing the Broad Histogram Monte Carlo method to systems with continuous degrees of freedom, and we apply these ideas to investigate the three-dimensional XY-model with periodic boundary conditions. We have found…

Statistical Mechanics · Physics 2015-06-25 Jose D. Munoz , Hans J. Herrmann

An accurate description of the scalar potential at finite temperature is crucial for studying cosmological first-order phase transitions (FOPT) in the early Universe. At finite temperatures, a precise treatment of thermal resummations is…

High Energy Physics - Phenomenology · Physics 2025-12-05 Pedro Bittar , Subhojit Roy , Carlos E. M. Wagner

Thermal conduction in the intracluster medium has been proposed as a possible heating mechanism for offsetting central cooling losses in rich clusters of galaxies. In this study, we introduce a new formalism to model conduction in a diffuse…

Astrophysics · Physics 2007-05-23 M. Jubelgas , V. Springel , K. Dolag

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a structure-preserving and thermodynamically consistent finite…

Numerical Analysis · Mathematics 2024-09-23 Evan S. Gawlik , François Gay-Balmaz

A mathematical model of the heat process in one-dimensional domain governed by a cylindrical heat equation with a heat source on the axis $z=0$ and nonlinear thermal coefficients is considered. The developed model is particularly applicable…

Analysis of PDEs · Mathematics 2023-11-07 Julieta Bollati , Adriana C. Briozzo , Stanislav N. Kharin , Targyn A. Nauryz

We extend the coupled-cluster method to correlated quantum dynamics of both closed and open systems at finite temperatures using the thermo-field formalism. The approach expresses the time-dependent density matrix in an exponential ansatz…

Quantum Physics · Physics 2019-10-23 Philip Shushkov , Thomas F. Miller

We perform large scale simulations to characterize the transition in quenched QCD. It is shown by a rigorous finite size scaling that the transition is of first order. After this qualitative feature quantitative results are obtained with…

High Energy Physics - Lattice · Physics 2022-04-19 S. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty

Applying a time-periodic magnetic field to the standard ferromagnetic Curie-Weiss model brings the spin system in a steady out-of-equilibrium condition. We recall how the hysteresis gets influenced by the amplitude and the frequency of that…

Statistical Mechanics · Physics 2025-05-06 Elena Rufeil Fiori , Christian Maes , Robbe Vidts

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an…

Numerical Analysis · Mathematics 2023-01-31 Raphael Watschinger , Michal Merta , Günther Of , Jan Zapletal

We introduce a novel method of quantum emulation of a classical reversible cellular automaton. By applying this method to a chaotic cellular automaton, the obtained quantum many-body system thermalizes while all the energy eigenstates and…

Statistical Mechanics · Physics 2018-07-03 Naoto Shiraishi

We study the efficiency of estimation procedures where the temperature of an external bath is indirectly recovered by monitoring the transformations induced on a probing system that is put in thermal contact with the bath. In particular we…

Quantum Physics · Physics 2017-07-19 Antonella De Pasquale , Kazuya Yuasa , Vittorio Giovannetti

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

We study the thermalization of excitations generated by spontaneous emission events for cold bosons in an optical lattice. Computing the dynamics described by the many-body master equation, we characterize equilibration timescales in…

Quantum Gases · Physics 2014-01-15 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew John Daley