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We study, analytically and with lattice simulations, the decay of coherent field oscillations and the subsequent thermalization of the resulting stochastic classical wave-field. The problem of reheating of the Universe after inflation…

High Energy Physics - Phenomenology · Physics 2009-11-10 Raphael Micha , Igor I. Tkachev

We discuss the formulation of "thermal renormalization group-equations" and their application to the finite temperature phase-transition of scalar O(N)-theories. Thermal renormalization group-equations allow for a computation of both the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Bastian Bergerhoff , Juergen Reingruber

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

In certain models of inflation, the postinflationary reheating of the Universe is not primarily due to perturbative decay of the inflaton field into particles, but proceeds through a tachyonic instability. In the process, long-wavelength…

High Energy Physics - Phenomenology · Physics 2024-04-19 Anders Tranberg , Gerhard Ungersbäck

A quasi-static process is realized in a purely quantum-mechanical model which is described by oscillator (or particle) systems having relative-phase interactions. Time development of a mixture of two oscillator (or particle) systems which…

Statistical Mechanics · Physics 2016-08-31 T. Kobayashi

We present a simple method for fast and cheap thermal analysis on supercooled glass-forming liquids. This "Thermalization Calorimetry" technique is based on monitoring the temperature and its rate of change during heating or cooling of a…

The problem considered here is the determination of the hamiltonian of a first quantized nonrelativistic particle by the help of some measurements of the location with a finite resolution. The resulting hamiltonian depends on the resolution…

High Energy Physics - Theory · Physics 2009-10-30 Hanae El Hattab , Janos Polonyi

The delocalization or scrambling of quantum information has emerged as a central ingredient in the understanding of thermalization in isolated quantum many-body systems. Recently, significant progress has been made analytically by modeling…

Statistical Mechanics · Physics 2022-04-20 Jonah Kudler-Flam , Ramanjit Sohal , Laimei Nie

We investigate the lattice spacing dependence of the equilibration time for a recently proposed multiscale thermalization algorithm for Markov chain Monte Carlo simulations. The algorithm uses a renormalization-group matched coarse lattice…

High Energy Physics - Lattice · Physics 2018-04-18 William Detmold , Michael G. Endres

We generally study whether or not the information of an open quantum system could be totally erased by its surrounding environment in the long time. For a harmonic oscillator coupled to a bath of a spectral density with zero-value regions,…

Quantum Physics · Physics 2015-06-17 C. Y. Cai , Li-Ping Yang , C. P. Sun

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

Statistical Mechanics · Physics 2016-03-03 Peter Reimann

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

Statistical Mechanics · Physics 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

We consider the concept of temperature in a setting beyond the standard thermodynamics prescriptions. Namely, rather than restricting to standard coarse-grained measurements, we consider observers able to master any possible quantum…

Quantum Physics · Physics 2012-04-19 Alessandro Ferraro , Artur Garcia-Saez , Antonio Acin

We propose a general framework to compare the values of a physical quantity pertaining to two - or more - physical setups, in the finite-precision scenario. Such a situation requires us to compare between two "patches" on the real line…

Quantum Physics · Physics 2025-10-29 Anindita Sarkar , Paranjoy Chaki , Priya Ghosh , Ujjwal Sen

We establish the exact renormalization group equation for the potential of a one quantum particle system at finite and zero temperature. As an example we use it to compute the ground state energy of the anharmonic oscillator. We comment on…

Quantum Physics · Physics 2009-11-06 P. Gosselin , B. Grosdidier , H. Mohrbach

We study a spatial Markovian particle system with pairwise coagulation, a spatial version of the Marcus--Lushnikov process: according to a coagulation kernel $K$, particle pairs merge into a single particle, and their masses are united. We…

Probability · Mathematics 2024-01-15 Luisa Andreis , Wolfgang König , Heide Langhammer , Robert I. A. Patterson

Transition to thermal equilibrium in a uniformly heated two-dimensional harmonic triangular lattice with nearest neighbor interactions is investigated. Initial conditions, typical for molecular dynamics simulations, are considered.…

Statistical Mechanics · Physics 2017-09-15 V. A. Tsaplin , V. A. Kuzkin

The irreversibility and thermalization of many-body systems can be attributed to the erasure of spread non-equilibrium state information by local operations. This thermalization mechanism can be demonstrated by the sequence of…

Quantum Physics · Physics 2025-11-24 Xue-Yi Guo

For quantum systems that are weakly coupled to a much 'bigger' environment, thermalization of possibly far from equilibrium initial ensembles is demonstrated: for sufficiently large times, the ensemble is for all practical purposes…

Statistical Mechanics · Physics 2015-05-19 Peter Reimann

Chain-mapping techniques in combination with the time-dependent density matrix renormalization group are a powerful tool for the simulation of open-system quantum dynamics. For finite-temperature environments, however, this approach suffers…

Quantum Physics · Physics 2019-09-02 Dario Tamascelli , Andrea Smirne , James Lim , Susana F. Huelga , Martin B. Plenio
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