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We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

Statistical Mechanics · Physics 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

The quantum thermodynamic property of the fractional damping system is investigated extensively. A fractional power-law decaying entropy function is revealed which presents another evidence for the validity of the third law of…

Statistical Mechanics · Physics 2015-06-18 Chun-Yang Wang , Xue-Mei Zong , Cui-Feng Sun , Hong Zhang , Zhen-Xue Song

A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negative specific heat or reentrant classicality. These low-temperature phenomena are expected to be modified at very low temperatures where…

Statistical Mechanics · Physics 2014-04-11 Robert Adamietz , Gert-Ludwig Ingold , Ulrich Weiss

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…

Quantum Physics · Physics 2009-11-13 ILki Kim , Guenter Mahler

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Th. M. Nieuwenhuizen

The quantum thermodynamic functions of a harmonic oscillator coupled to a heat bath through velocity-dependent coupling are obtained analytically. It is shown that both the free energy and the entropy decay fast with the temperature in…

Statistical Mechanics · Physics 2009-11-13 Chun-Yang Wang , Jing-Dong Bao

The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found…

Statistical Mechanics · Physics 2015-06-03 Chun-Yang Wang , An-Qi Zhao , Xiang-Mu Kong , Jing-Dong Bao

The quantum thermodynamic behaviour of a charged oscillator in the presence of a magnetic field and coupled to a heat bath through different coupling schemes is obtained analytically. It is shown that finite dissipation substitutes the…

Statistical Mechanics · Physics 2008-04-03 Malay Bandyopadhyay

We explore an analogy between the thermodynamics of a free dissipative quantum particle and that of an electromagnetic field between two mirrors of finite conductivity. While a free particle isolated from its environment will effectively be…

Quantum Physics · Physics 2010-03-26 Gert-Ludwig Ingold , Astrid Lambrecht , Serge Reynaud

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…

Quantum Physics · Physics 2009-11-13 Ilki Kim , Guenter Mahler

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…

Statistical Mechanics · Physics 2007-05-23 Th. M. Nieuwenhuizen , A. E. Allahverdyan

With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must…

Quantum Physics · Physics 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

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…

Statistical Mechanics · Physics 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

We consider a free particle coupled with finite strength to a bath and investigate the evaluation of its specific heat. A harmonic oscillator bath of Drude type with cutoff frequency omega_D is employed to model an ohmic friction force with…

Quantum Physics · Physics 2008-11-21 Peter Hänggi , Gert-Ludwig Ingold , Peter Talkner

In this work, we expose the role of environment, confinement and external magnetic field ($B$) in determining the low temperature thermodynamic behaviour in the context of cyclotron motion of a charged oscillator with anomalous dissipative…

Statistical Mechanics · Physics 2015-06-19 Asam Rajesh , Malay Bandyopadhyay

The rate of temperature decrease of a cooled quantum bath is studied as its temperature is reduced to the absolute zero. The III-law of thermodynamics is then quantified dynamically by evaluating the characteristic exponent {\zeta} of the…

Quantum Physics · Physics 2015-04-17 Amikam Levy , Robert Alicki , Ronnie Kosloff

Recently, the quantum counterpart of energy equipartition theorem has drawn considerable attention. Motivated by this, we formulate and investigate an analogous statement for the free energy of a quantum oscillator linearly coupled to a…

Statistical Mechanics · Physics 2022-06-14 Jasleen Kaur , Aritra Ghosh , Malay Bandyopadhyay

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature…

Quantum Physics · Physics 2009-11-13 G. W. Ford , R. F. O'Connell

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…

Statistical Mechanics · Physics 2015-05-27 Ilki Kim
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