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A key quantity characterizing a time-periodically forced quantum system coupled to a heat bath is the energy flowing in the steady state through the system into the bath, where it is dissipated. We derive a general expression which allows…

Quantum Physics · Physics 2015-06-18 Matthias Langemeyer , Martin Holthaus

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

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

Statistical Mechanics · Physics 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

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

We formulate a thermodynamic theory applicable to both classical and quantum systems. These systems are depicted as thermodynamic system-bath models capable of handling isothermal, isentropic, thermostatic, and entropic processes. Our…

Statistical Mechanics · Physics 2024-06-25 Shoki Koyanagi , Yoshitaka Tanimura

The exchange of energy between a classical open system and its environment can be analysed for a single run of an experiment using the phase space trajectory of the system. By contrast, in the quantum regime such energy exchange processes…

Quantum Physics · Physics 2019-07-03 R. Sampaio , J. Anders , T. G. Philbin , T. Ala-Nissila

For a small driven system coupled strongly to a heat bath, internal energy and exchanged heat are identified such that they obey the usual additive form of the first law. By identifying this exchanged heat with the entropy change of the…

Statistical Mechanics · Physics 2016-02-03 Udo Seifert

There are both practical and foundational motivations to consider the thermodynamics of quantum systems at small scales. Here we address the issue of autonomous quantum thermal machines that are tailored to achieve some specific…

Quantum Physics · Physics 2016-03-08 Max F. Frenzel , David Jennings , Terry Rudolph

We consider finite sized atomic systems with varying number of particles which have dipolar interactions among them and also under the collective driving and dissipative effect of thermal photon environment. Focusing on the simple case of…

Quantum Physics · Physics 2017-09-25 B. Çakmak , A. Manatuly , Ö. E. Müstecaplıoğlu

I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics…

Quantum Physics · Physics 2019-10-24 Matteo Lostaglio

A model computational quantum thermodynamic network is constructed with two variable temperature baths coupled by a linker system, with an asymmetry in the coupling of the linker to the two baths. It is found in computational simulations…

Statistical Mechanics · Physics 2021-11-10 Phillip C. Lotshaw , Michael E. Kellman

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and…

Condensed Matter · Physics 2008-02-03 Mo-lin Ge , Lei Wang

In this review the debated rapport between thermodynamics and quantum mechanics is addressed in the framework of the theory of periodically-driven/controlled quantum-thermodynamic machines. The basic model studied here is that of a…

Quantum Physics · Physics 2015-09-15 D. Gelbwaser-Klimovsky , Wolfgang Niedenzu , Gershon Kurizki

The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where…

The temperature of a physical system is operationally defined in physics as "that quantity which is measured by a thermometer" weakly coupled to, and at equilibrium with the system. This definition is unique only at global equilibrium in…

Statistical Mechanics · Physics 2020-01-08 Daochi Zhang , Xiao Zheng , Massimiliano Di Ventra

We present a universal thermodynamic framework for quantum systems that may be strongly coupled to thermal environments. Unlike previous approaches, our method enables a clear definition of thermostatic properties while preserving the same…

Quantum Physics · Physics 2026-04-16 Ignacio González , Sagnik Chakraborty , Ángel Rivas

Quantum thermalization occurs in a broad class of systems from elementary particles to complex materials. Out-of-equilibrium quantum systems have long been understood to either thermalize or retain memory of their initial states, but not…

Quantum Physics · Physics 2025-02-20 Luheng Zhao , Prithvi Raj Datla , Weikun Tian , Mohammad Mujahid Aliyu , Huanqian Loh

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

Statistical Mechanics · Physics 2012-05-21 Udo Seifert

The second law of thermodynamics dictates that heat flows spontaneously from a high-temperature entity to a lower-temperature one. Yet, recent advances have demonstrated that quantum correlations between a system and its thermal environment…