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A novel method to determine the density and temperature of a system based on quantum Fermionic fluctuations is generalized to the limit where the reached temperature T is large compared to the Fermi energy {\epsilon}f . Quadrupole and…

Nuclear Theory · Physics 2015-06-03 Hua Zheng , Aldo Bonasera

We analyze the power output of a quantum dot machine coupled to two electronic reservoirs via thermoelectric contacts, and to two thermal reservoirs - one hot and one cold. This machine is a nanoscale analogue of a conventional thermocouple…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Robert. S. Whitney , Rafael Sánchez , Federica Haupt , Janine Splettstoesser

A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, with zero temperature boundary conditions at the walls.…

Fluid Dynamics · Physics 2018-02-23 Florence Marcotte , Charles R. Doering , Jean-Luc Thiffeault , William R. Young

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

In this paper, we study the temperature distribution of a body when the heat is transmitted only by radiation. The heat transmitted by convection and conduction is ignored. We consider the stationary radiative transfer equation in the local…

Analysis of PDEs · Mathematics 2023-06-21 Jin Woo Jang , Juan J. L. Velázquez

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

Statistical Mechanics · Physics 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

It is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place of the heat bath used to run a…

Quantum Physics · Physics 2009-11-07 C. M. Bender , D. C. Brody , B. K. Meister

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

Statistical Mechanics · Physics 2009-08-27 Shi-Jian Gu

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

Mathematical Physics · Physics 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic…

Statistical Mechanics · Physics 2015-05-13 Denis J. Evans , Debra J. Searles , Stephen R. Williams

We find the moment generating function (mgf) of the nonequilibrium work for open systems undergoing a thermal process, ie, when the stochastic dynamics maps thermal states into time dependent thermal states. The mgf is given in terms of a…

Statistical Mechanics · Physics 2020-03-18 Domingos S. P. Salazar

At present, there is a worldwide effort to use cold atoms to simulate strongly correlated quantum many-body systems. It is hoped that these "simulations" will provide solutions to many unsolved problems. However, the relevant energy scales…

Quantum Gases · Physics 2009-12-01 Tin-Lun Ho , Qi Zhou

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

A key question in the thermodynamics of open quantum systems is how to partition thermodynamic quantities such as entropy, work, and internal energy between the system and its environment. We show that the only partition under which entropy…

Quantum Physics · Physics 2024-10-22 Parth Kumar , Caleb M. Webb , Charles A. Stafford

We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths by taking into account the informational contribution of the back-action of the quantum measurements, which contributes to…

Quantum Physics · Physics 2023-07-18 Akira Sone , Diogo O. Soares-Pinto , Sebastian Deffner

The celebrated exchange fluctuation theorem -- proposed by Jarzynski and W\'ozcik, (Phys Rev. Lett. 92, 230602 (2004)) for heat exchange between two systems in thermal equilibrium at different temperatures -- is explored here for quantum…

Quantum Physics · Physics 2021-11-05 A R Usha Devi , Sudha , A. K. Rajagopal , A. M. Jayannavar

As previously demonstrated, the entropy production -- a key quantity characterizing the irreversibility of thermodynamic processes -- is related to generation of correlations between degrees of freedom of the system and its thermal…

Quantum Physics · Physics 2023-06-29 Krzysztof Ptaszynski , Massimiliano Esposito

The dynamics of open quantum systems connected with several reservoirs attract great attention due to its importance in quantum optics, biology, quantum thermodynamics, transport phenomena, etc. In many problems, the Born approximation is…

Quantum Physics · Physics 2023-12-20 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. The open quantum systems exchange matters, energies and information with their reservoirs through quantum…

Quantum Physics · Physics 2022-06-07 Wei-Ming Huang , Wei-Min Zhang

The separation of internal energy into heat and work in quantum thermodynamics is a controversial issue for a long time, and we revisit and solve this problem in this work. It is shown that the Hamiltonian plays dual roles for a quantum…

Quantum Physics · Physics 2025-01-03 Tao Zhou , Jiangyang Pu , Xiaohua Wu
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