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Quantum physics revolutionized classical disciplines of mechanics, statistical physics, and electrodynamics. One branch of scientific knowledge however seems untouched: thermodynamics. Major motivation behind thermodynamics is to develop…

Quantum Physics · Physics 2015-08-28 Ali Ü. C. Hardal , Özgür E. Müstecaplıoglu

The power and efficiency of many-body heat engines can be boosted by performing cooperative non-adiabatic operations in contrast to the commonly used adiabatic implementations. Here, the key property relies on the fact that non-adiabaticity…

Quantum Physics · Physics 2019-03-04 David Gelbwaser-Klimovsky , Wassilij Kopylov , Gernot Schaller

The work provides an overview on some recent advances in the area of quantum thermodynamics and quantum heat engines. A particular emphasis is put on the possibility of constructing finite time quantum cycles and adiabatic shortcuts. We…

Statistical Mechanics · Physics 2017-03-03 L. Chotorlishvili , M. Azimi , S. Stagraczyński , J. Berakdar

The difference between quantum isoenergetic process and quantum isothermal process comes from the violation of the law of equipartition of energy in the quantum regime. To reveal an important physical meaning of this fact, here we study a…

General Physics · Physics 2016-06-10 Shengnan Liu , Congjie Ou

The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbein-like formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional…

The relevance in Physics of non-Hermitian operators with real eigenvalues is being widely recognized not only in quantum mechanics but also in other areas, such as quantum optics, quantum fluid dynamics and quantum field theory. %stochastic…

Quantum Physics · Physics 2020-04-16 Natália Bebiano , João da Providência , S. Nishiyama , João P. da Providência

In this work, we analyze an Otto-type cycle operating with a working substance composed of a quantum harmonic oscillator (QHO). Unlike other studies in which the work extraction is done by varying the frequency of the QHO and letting it…

Quantum Physics · Physics 2023-11-27 Richard Q. Matos , Rogerio J. de Assis , Norton G. de Almeida

Coherent interconversion between optical and mechanical excitations in an optomechanical cavity can be used to engineer a quantum heat engine. This heat engine is based on an Otto cycle between a cold photonic reservoir and a hot phononic…

Quantum Physics · Physics 2014-08-14 Keye Zhang , Francesco Bariani , Pierre Meystre

We consider optimizations of Lenoir heat engine within a quantum dynamical field consisting of $N$ noninteracting fermions trapped in multilevel infinite potential square-well. Fermions play role as working substance of the engine with each…

Statistical Mechanics · Physics 2022-09-13 Ade Fahriza , Trengginas E P Sutantyo , Zulfi Abdullah

Various engine types are thermodynamically equivalent in the quantum limit of small 'engine action'. Our previous derivation of the equivalence is restricted to Markovian heat baths and to implicit classical work repository (e.g., laser…

Quantum Physics · Physics 2016-05-04 Raam Uzdin , Amikam Levy , Ronnie Kosloff

The impacts of quantum coherence on nonequilibrium thermodynamics become observable by dividing the heat and work into the conventional diagonal part and the other part relaying on the superpositions and the time derivative of Hamiltonian.…

Quantum Physics · Physics 2020-04-08 Shanhe Su , Wei Shen , Jincan Chen , Ran Liu , Min Jiang , Ji Bian , Xinhua Peng

We propose a geometrical engine undergoing an adiabatic (Thouless) pumping process for a small system connected to external isothermal reservoirs with the control of electrochemical potentials of the reservoirs and one parameter in the…

Statistical Mechanics · Physics 2022-07-29 Hisao Hayakawa , Ville M. M. Paasonen , Ryosuke Yoshii

The Hermiticity axiom of quantum mechanics guarantees that the energy spectrum is real and the time evolution is unitary (probability-preserving). Nevertheless, non-Hermitian but $\mathcal{PT}$-symmetric Hamiltonians may also have real…

Quantum Physics · Physics 2018-06-06 Fernando Quijandría , Uta Naether , Sahin K. Özdemir , Franco Nori , David Zueco

We present a fully quantum dynamical treatment of a quantum heat engine and its baths based on the Hierarchy of Pure States (HOPS), an exact and general method for open quantum system dynamics. We show how the change of the bath energy and…

Quantum Physics · Physics 2024-03-19 Valentin Boettcher , Richard Hartmann , Konstantin Beyer , Walter T. Strunz

For a subclass of a general $\mathcal{PT}-$symmetric Hamiltonian obeying anti-commutation relation with its conjugate, a Hermitian basis is found that spans the bi-orthonormal energy eigenvectors. Using the modified projectors constructed…

Quantum Physics · Physics 2025-12-04 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection symmetry (PT symmetry). Thus, there are infinitely many new…

High Energy Physics - Theory · Physics 2009-11-10 Carl M. Bender , Dorje C. Brody , Hugh F. Jones

Differences between the thermodynamic behavior of the three-level amplifier (a quantum heat engine based on a thermally pumped laser) and the classical Carnot cycle are usually attributed to the essentially quantum or discrete nature of the…

Statistical Mechanics · Physics 2009-11-10 T. E. Humphrey , H. Linke

It is possible to simulate the dynamics of a single spin-$1/2$ ($\mathsf{PT~}$ symmetric) system by conveniently embedding it into a subspace of a larger Hilbert space with unitary dynamics. Our goal is to formulate a many body…

Quantum Physics · Physics 2021-08-04 Anant V. Varma , Sourin Das

We present a quantum Otto engine model consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here we show that such an adiabatic…

Quantum Physics · Physics 2022-02-15 Kai Li , Yang Xiao , Jizhou He , Jianhui Wang

Despite acute interest in the dynamics of non-Hermitian systems, there is a lack of consensus in the mathematical formulation of non-Hermitian quantum mechanics in the community. Different methodologies are used in the literature to study…

Quantum Physics · Physics 2025-03-31 Karin Sim , Nicolò Defenu , Paolo Molignini , R. Chitra
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