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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…

统计力学 · 物理学 2009-11-13 Chun-Yang Wang , Jing-Dong Bao

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…

量子物理 · 物理学 2009-11-13 G. W. Ford , R. F. O'Connell

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…

量子物理 · 物理学 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

Quantum thermodynamics addresses the emergence of thermodynamical laws from quantum mechanics. The link is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts…

量子物理 · 物理学 2015-06-24 Ronnie Kosloff

The third law of thermodynamics, also known as the Nernst unattainability principle, puts a fundamental bound on how close a system, whether classical or quantum, can be cooled to a temperature near to absolute zero. On the other hand, a…

量子物理 · 物理学 2022-10-04 Lorenzo Buffoni , Stefano Gherardini , Emmanuel Zambrini Cruzeiro , Yasser Omar

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

I consider the non-equilibrium DC transport of electrons through a quantum system with a thermoelectric response. This system may be any nanostructure or molecule modeled by the nonlinear scattering theory which includes Hartree-like…

介观与纳米尺度物理 · 物理学 2013-03-06 Robert S. Whitney

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…

量子物理 · 物理学 2015-04-17 Amikam Levy , Robert Alicki , Ronnie Kosloff

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

We consider open quantum systems consisting of a finite system of independent fermions with arbitrary Hamiltonian coupled to one or more equilibrium fermion reservoirs (which need not be in equilibrium with each other). A strong form of the…

介观与纳米尺度物理 · 物理学 2019-09-04 Abhay Shastry , Yiheng Xu , Charles A. Stafford

Quantum Thermodynamics is a continuous dialogue between two independent theories: Thermodynamics and Quantum Mechanics. Whenever the two theories addressed the same phenomena new insight has emerged. We follow the dialogue from equilibrium…

量子物理 · 物理学 2018-06-04 Robert Alicki , Ronnie Kosloff

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

量子物理 · 物理学 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

We obtain an exact formula for the equilibrium free energy of a charged quantum particle moving in a harmonic potential in the presence of a uniform external magnetic field and linearly coupled to a heat bath of independent quantum harmonic…

统计力学 · 物理学 2013-12-04 Shamik Gupta , Malay Bandyopadhyay

We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. The latter is modeled by a massless scalar field in a thermal state. We consider two different couplings of…

量子物理 · 物理学 2020-10-14 Nikolaos Papadatos , Charis Anastopoulos

Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, which states that…

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

A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have finitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of…

量子物理 · 物理学 2016-12-12 Dorje C. Brody , Lane P. Hughston

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

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

量子物理 · 物理学 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

Quantum thermodynamics supplies a consistent description of quantum heat engines and refrigerators up to the level of a single few level system coupled to the environment. Once the environment is split into three;a hot, cold and work…

量子物理 · 物理学 2015-04-17 Ronnie Kosloff , Amikam Levy
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