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We use the quantum Brownian model to derive the uncertainty relation for a quantum open system. We examine how the fluctuations of a quantum system evolve after it is brought in contact with a heat bath at finite temperature. We study the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. L. Hu , Yuhong Zhang

Any evolving system can change of state via thermal mechanisms (hopping a barrier) or via quantum tunneling. Most of the time, efficient classical mechanisms dominate at high temperatures. This is why an increase of the temperature can…

Materials Science · Physics 2014-02-14 M. Minissale , E. Congiu , S. Baouche , H. Chaabouni , A. Moudens , F. Dulieu , M. Accolla , S. Cazaux , G. Manico , V. Pirronello

In the framework of the Lindblad theory for open quantum systems we determine the degree of quantum decoherence and classical correlations of a harmonic oscillator interacting with a thermal bath. The transition from quantum to classical…

Quantum Physics · Physics 2007-12-17 Aurelian Isar

We investigate thermalization and the quantum-classical correspondence in the collective Bose-Hubbard model, focusing on the four-site case. Our analysis of the classical phase-space structure and its excited-state quantum phase transitions…

Quantum Physics · Physics 2026-04-24 Ángel L. Corps , Sebastián Gómez , Pavel Stránský , Armando Relaño , Pavel Cejnar

In this work we ask what the self-consistency of a classical hydrodynamic description imposes on a quantum system. The quantum fluctuation-dissipation theorem, when read in the time domain, acts as a blurring of the fine details of the…

Statistical Mechanics · Physics 2026-05-20 Laura Foini , Jorge Kurchan , Silvia Pappalardi

We consider a thermal quantum harmonic oscillator weakly coupled to a heat bath at a different temperature. We analytically study the quantum heat exchange statistics between the two systems using the quantum-optical master equation. We…

Quantum Physics · Physics 2018-11-14 Tobias Denzler , Eric Lutz

Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly…

Quantum Physics · Physics 2025-06-27 Michael Gaida , Giulio Gasbarri , Stefan Nimmrichter

We derive a non-Markovian master equation for a charged particle in a magnetic field coupled to a bath and study decoherence by analysing the temporal decay of the off-diagonal elements of the reduced density matrix in the position basis.…

Quantum Physics · Physics 2023-05-31 Suraka Bhattacharjee , Koushik Mandal , Supurna Sinha

In the theory of decoherence, redundancy is the correlation between a quantum system and fractions of the environment. It underlies the emergence of classical behavior. We show that redundancy can persist despite thermalizing dynamics in…

Quantum Physics · Physics 2026-04-01 Xiangyu Cao , Zohar Nussinov

We briefly review a recently developed semiclassical theory for quantum oscillations in the spatial (particle and kinetic energy) densities of finite fermion systems and present some examples of its results. We then discuss the inclusion of…

Mathematical Physics · Physics 2015-05-14 Matthias Brack , Jerôme Roccia

We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive thermal drift term with diffusion coefficient obeying a…

Statistical Mechanics · Physics 2015-06-18 A. Donev , T. G. Fai , E. Vanden-Eijnden

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

Statistical Mechanics · Physics 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

Quantum Physics · Physics 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

By modelling quantum systems as emerging from a (classical) sub-quantum thermodynamics, the quantum mechanical "decay of the wave packet" is shown to simply result from sub-quantum diffusion with a specific diffusion coefficient varying in…

General Physics · Physics 2011-08-30 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions or critical dynamics of classical spin systems can be written as a Schr\"odinger equation in which the wave function is the probability…

High Energy Physics - Theory · Physics 2016-09-06 Francisco C. Alcaraz , Michel Droz , Malte Henkel , Vladimir Rittenberg

Work in closed quantum systems is usually defined by a two-point measurement. This definition of work is compatible with quantum fluctuation theorems but it fundamentally differs from its classical counterpart. In this paper, we study the…

Quantum Physics · Physics 2018-02-16 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

Condensed matter physics at room temperature usually assumes that electrons in conductors can be described as spatially narrow wave packets - in contrast to what the Schr\"odinger equation would predict. How a finite-temperature environment…

Quantum Physics · Physics 2021-11-17 Marco Hofmann , Barbara Drossel

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

We investigate a two-level system in resonant contact with a larger environment. The environment typically is in a canonical state with a given temperature initially. Depending on the precise spectral structure of the environment and the…

Quantum Physics · Physics 2009-11-13 Harry Schmidt , Guenter Mahler

We study the real-time dynamics of quantum models with long-range interactions coupled to a heat-bath within the closed-time path-integral formalism. We show that quantum fluctuations depress the transition temperature. In the subcritical…

Condensed Matter · Physics 2009-10-30 Leticia F. Cugliandolo , Gustavo Lozano
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