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We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

统计力学 · 物理学 2015-05-27 Ilki Kim

In the classical limit no work is needed to couple a system to a bath with sufficiently weak coupling strength (or with arbitrarily finite coupling strength for a linear system) at the same temperature. In the quantum domain this may be…

量子物理 · 物理学 2009-11-13 Ilki Kim , Guenter Mahler

We consider a linear chain of quantum harmonic oscillators, in which the number of the individual oscillators is given by an arbitrary number N, and each oscillator is coupled at an arbitrary strength kappa to its nearest neighbors…

统计力学 · 物理学 2014-04-04 Ilki Kim

In this study, we model a harmonic oscillator that enters an interferometer partially coupled to a thermal bath of oscillatory fields by employing a Brownian-type Lindblad master equation. More specifically, we investigate the dynamics and…

量子物理 · 物理学 2019-07-02 Ali Soltanmanesh , Afshin Shafiee

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with…

量子物理 · 物理学 2009-11-13 ILki Kim , Guenter Mahler

We consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the…

统计力学 · 物理学 2015-05-18 Ilki Kim

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the stationary state is non-Gibbsian due to an…

统计力学 · 物理学 2007-05-23 Th. M. Nieuwenhuizen , A. E. Allahverdyan

Isoenergetic thermalization amongst $n$ bodies is a well-known irreversible process, bringing the bodies to a common temperature $T_F$ and leading to a rise in the total entropy of the bodies. We express this change in entropy using the…

统计力学 · 物理学 2024-11-07 Vansh Narang , Renuka Rai , Ramandeep S. Johal

We study entropy production in nanoscale devices, which are coupled to finite heat baths. This situation is of growing experimental relevance, but most theoretical approaches rely on a formulation of the second law valid only for infinite…

量子物理 · 物理学 2021-08-25 Philipp Strasberg , María García Díaz , Andreu Riera-Campeny

In our recent letter [1] we discussed that thermodynamics is violated in quantum Brownian motion beyond the weak coupling limit. In his comment, Tasaki [2] derives an inequality for the relative entropy and claims, without making any…

统计力学 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

The Brownian motion of a harmonically bound quantum particle and coupled to a harmonic quantum bath is exactly solvable. At low enough temperatures the stationary state is non-Gibbsian due to an entanglement with the bath. This happens when…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that…

量子物理 · 物理学 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S$ of its entropy must release at least an amount $|\dbarrm Q|=T|\d S|$ of heat. This serves as a basis for the Landauer principle, which…

统计力学 · 物理学 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen

We consider a quantum harmonic oscillator linearly coupled to a bath of harmonic oscillators and evaluate the degree of entanglement between system and bath using the negativity as an exact entanglement measure. We establish the existence…

量子物理 · 物理学 2010-04-12 Stefanie Hilt , Eric Lutz

This is the second of a series of three papers examining how viable it is for entanglement to be sustained at high temperatures for quantum systems in thermal equilibrium (Case A), in nonequilibrium (Case B) and in nonequilibrium steady…

量子物理 · 物理学 2016-01-08 Jen-Tsung Hsiang , B. L. Hu

The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius'…

统计力学 · 物理学 2009-11-10 Sumiyoshi Abe , A. K. Rajagopal

We study the influence of entanglement on the relation between the statistical entropy of an open quantum system and the heat exchanged with a low temperature environment. A model of quantum Brownian motion of the Caldeira-Leggett type -…

统计力学 · 物理学 2009-11-10 Christian Hoerhammer , Helmut Buettner

Small quantum systems non-weakly coupled to a bath become in the quantum regime surrounded by a cloud of photons or phonons, which modifies their thermodynamic behavior. Exactly solvable examples are the Brownian motion of a quantum…

介观与纳米尺度物理 · 物理学 2015-06-24 Th. M. Nieuwenhuizen

Methods of stochastic thermodynamics and hydrodynamics are applied to the a recently introduced model of active particles. The model consists of an overdamped particle subject to Gaussian coloured noise. Inspired by stochastic…

统计力学 · 物理学 2017-10-09 Umberto Marini Bettolo Marconi , Andrea Puglisi , Claudio Maggi

The zeroth law of thermodynamics involves a transitivity relation (pairwise between three objects) expressed either in terms of `equal temperature' (ET), or `in equilibrium' (EQ) conditions. In conventional thermodynamics conditional on…

统计力学 · 物理学 2021-04-21 Jen-Tsung Hsiang , Bei-Lok Hu
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