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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 discuss the limit cycle regime of a finite-time quantum Otto cycle with a frictionless two-dimensional anisotropic Ising model as the working fluid. From Onsagers exact equilibrium solution, we first find optimal parameters for the…

Statistical Mechanics · Physics 2025-07-22 S. P. Katoorani , C. Kohlfürst , F. Queisser , G. Schaller , R. Schützhold

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…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

The working substance fueling a quantum heat engine may contain coherence in its energy basis, depending on the dynamics of the engine cycle. In some models of quantum Otto heat engines, energy coherence has been associated with entropy…

Quantum Physics · Physics 2019-06-21 Patrice A. Camati , Jonas F. G. Santos , Roberto M. Serra

We propose a four level quantum heat engine in Otto cycle with a working substance of two spins subject to an external magnetic field and coupled to each other by a one-axis twisting spin squeezing nonlinear interaction. We calculate the…

Quantum Physics · Physics 2015-02-18 Ferdi Altintas , Ali Ü. C. Hardal , Özgür E. Müstecaplıoğlu

We consider a generic four-stroke quantum Otto engine consisting of two unitary and two thermalization strokes with an arbitrary many-body working medium. Using the Schwinger-Keldysh non-equilibrium Green's function formalism, we provide an…

Statistical Mechanics · Physics 2023-07-25 Sandipan Mohanta , Bijay Kumar Agarwalla

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

Quantum heat engines are often discussed under the weak coupling assumption that the interaction between the system and the reservoirs is negligible. Although this setup is easier to analyze, this assumption cannot be justified on the…

Quantum Physics · Physics 2023-05-10 Mao Kaneyasu , Yoshihiko Hasegawa

We consider a minimal model of a quantum rotator composed of a single particle confined in an harmonic potential and driven by two temperature-biased heat reservoirs. In the case the particle potential is rendered asymmetric and rotated an…

Quantum Physics · Physics 2018-06-01 Hans C. Fogedby , Alberto Imparato

A theoretical thermodynamic cycle more efficient than an infinite set of Carnot engines is presented. This result is unexpected from the point of view of classical thermodynamics.

General Physics · Physics 2009-01-06 Jose Belandria

A quantum-controlled device may produce a scenario in which two general quantum operations can be performed in such a way that it is not possible to associate a definite order for the operations application. Such an indefinite causal order…

Quantum Physics · Physics 2023-02-21 Pedro R. Dieguez , Vinicius F. Lisboa , Roberto M. Serra

This paper explores a novel connection between a thermodynamic and a dynamical systems perspective on emergent dynamical order. We provide evidence for a conjecture that Hamiltonian systems with mixed chaos spontaneously find regular…

Adaptation and Self-Organizing Systems · Physics 2025-09-16 Pavel Chvykov , Jeremy England

Consider anomalous energy spread in solid phases, i.e., $MSD= \int (x -{\langle x \rangle}_E)^2 \rho_E(x,t)dx \propto t^{\beta}$, as induced by a small initial excess energy perturbation distribution $\rho_{E}(x,t=0)$ away from equilibrium.…

Statistical Mechanics · Physics 2014-02-03 Sha Liu , Peter Hänggi , Nianbei Li , Jie Ren , Baowen Li

Unconventional cycles provide a useful didactic resource to discuss the second law of thermodynamics applied to thermal motors and their efficiency. In most cases they involve a negative slope, linear process that presents an adiabatic…

Classical Physics · Physics 2018-10-17 Jeferson J. Arenzon

In this work, we present a new framework for a relativistic quantum analouge of the classical Otto engine. Considering a single qubit as the working substance, we analyse its interaction with a massless quantum scalar field while undergoing…

Quantum Physics · Physics 2025-07-29 Rudra Prosad Sarkar , Arnab Mukherjee , Sunandan Gangopadhyay

A quantum thermal machine is an open quantum system coupled to hot and cold thermal baths. Thus, its dynamics can be well understood using the concepts and tools from non-Hermitian quantum systems. A hallmark of non-Hermiticity is the…

Quantum mechanics and Coulomb interaction dictate the behavior of small circuits. The thermal implications cover fundamental topics from quantum control of heat to quantum thermodynamics, with prospects of novel thermal machines and an…

Mesoscale and Nanoscale Physics · Physics 2018-02-15 E. Sivre , A. Anthore , F. D. Parmentier , A. Cavanna , U. Gennser , A. Ouerghi , Y. Jin , F. Pierre

We investigate the mechanism of heat conduction in ordered and disordered harmonic onedimensional chains within the quantum mechanical Langevin method. In the case of the disordered chains we find indications for normal heat conduction…

Quantum Physics · Physics 2007-07-18 Christopher Gaul , Helmut Büttner

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…

Statistical Mechanics · Physics 2024-12-11 Jaswanth Uppalapati , Paul A McClarty , Masudul Haque , Shovan Dutta

The nonzero ground-state energy of the quantum mechanical harmonic oscillator implies quantum fluctuations around the minimum of the potential with the mean square value proportional to Planck's constant. In classical mechanics thermal…

Quantum Physics · Physics 2020-09-02 K. Schönhammer