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We study a concrete model of a confined particle in form of a Schr\"odinger operator with a compactly supported smooth potential coupled to a bosonic field at positive temperature. We show, that the model exhibits thermal ionization for any…

数学物理 · 物理学 2021-01-26 David Hasler , Oliver Siebert

We study the stationary states of a quantum mechanical system describing an atom coupled to black-body radiation at positive temperature. The stationary states of the non-interacting system are given by product states, where the particle is…

数学物理 · 物理学 2009-11-10 Jürg Fröhlich , Marco Merkli , Israel Michael Sigal

Thermalization of isolated many-body systems is demonstrated by generalizing an approach originally due to von Neumann: For arbitrary initial states with a macroscopically well-defined energy, quantum mechanical expectation values become…

统计力学 · 物理学 2015-07-02 Peter Reimann

When a non-integrable system evolves out of equilibrium for a long time, local observables are expected to attain stationary expectation values, independent of the details of the initial state. However, intriguing experimental results with…

量子物理 · 物理学 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings

An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlying Schrodinger evolution, together with a nonlinear term…

量子物理 · 物理学 2009-10-30 D. C. Brody , L. P. Hughston

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

量子物理 · 物理学 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

Thermalization of isolated quantum systems has been studied intensively in recent years and significant progresses have been achieved. Here, we study thermalization of small quantum systems that interact with large chaotic environments…

统计力学 · 物理学 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

Quantum thermalization describes how closed quantum systems can effectively reach thermal equilibrium, resolving the apparent incongruity between the reversibility of Schr\"odinger's equation and the second law of thermodynamics. Despite…

量子物理 · 物理学 2026-01-08 Saúl Pilatowsky-Cameo , Soonwon Choi

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

软凝聚态物质 · 物理学 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

We study, in the framework of open quantum systems, the dynamics of a radially polarizable two-level atom in multi-polar coupling to fluctuating vacuum electromagnetic fields which is placed at a fixed radial distance outside a radiating…

广义相对论与量子宇宙学 · 物理学 2013-10-30 Jiawei Hu , Wenting Zhou , Hongwei Yu

Absolute temperature, the fundamental temperature scale in thermodynamics, is usually bound to be positive. Under special conditions, however, negative temperatures - where high-energy states are more occupied than low-energy states - are…

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

量子物理 · 物理学 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

统计力学 · 物理学 2015-06-15 George L. Barnes , Michael E. Kellman

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

量子物理 · 物理学 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

We describe a simple approach to the problem of incorporating the response time of an atom or ion being Doppler-cooled into the theory of the cooling process. The system being cooled does not in general respond instantly to the changing…

原子物理 · 物理学 2018-09-28 H. Janacek , A. M. Steane , D. M. Lucas , D. N. Stacey

We present numerical results demonstrating the possibility of thermalization of single-particle observables in a one-dimensional integrable system (a quasicondensate of ultra-cold, weakly-interacting bosonic atoms being studied as a…

量子气体 · 物理学 2011-12-01 Pjotrs Grisins , Igor E. Mazets

We study the heat statistics of a multi-level $N$-dimensional quantum system monitored by a sequence of projective measurements. The late-time, asymptotic properties of the heat characteristic function are analyzed in the thermodynamic…

量子物理 · 物理学 2021-09-15 Stefano Gherardini , Guido Giachetti , Stefano Ruffo , Andrea Trombettoni

Common intuition tells us that if one part of a connected system is cooled continuously, the other parts should also cool down. This intuition can be given a microscopic foundation for the case of a generic quantum system coupled to a…

统计力学 · 物理学 2024-12-11 Jaswanth Uppalapati , Paul A McClarty , Masudul Haque , Shovan Dutta

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model…

偏微分方程分析 · 数学 2024-07-03 Rufat Badal , Manuel Friedrich , Martin Kružík , Lennart Machill
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