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We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an example we consider a one-dimensional quantum harmonic oscillator chain coupled to thermal…

Statistical Mechanics · Physics 2015-06-04 Bojan Žunkovič , Tomaž Prosen

The study of quantum thermodynamics is key to the development of quantum thermal machines. In contrast to most of the previous proposals based on discrete strokes, here we consider a working substance that is permanently coupled to two or…

Quantum Physics · Physics 2022-02-09 Heather Leitch , Nicolò Piccione , Bruno Bellomo , Gabriele De Chiara

The control of thermal fluxes -- magnitude and direction, in mesoscale and nanoscale electronic circuits can be achieved by means of heat rectification using thermal diodes in two-terminal systems. The rectification coefficient…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Ilia Khomchenko , Henni Ouerdane , Giuliano Benenti

The Langevin equation accounts for unresolved bath degrees of freedom driving the system toward the bath temperature. Because of this, numerical solutions of the Langevin equation have a long history. Here, we recapitulate, combine, and…

Statistical Mechanics · Physics 2025-06-19 Shubham Agarwal , Sergey V. Sukhomlinov , Marc Honecker , Martin H. Müser

We analytically identify sufficient conditions for manifesting thermal rectification in two-terminal hybrid structures within the quantum master equation formalism. We recognize two classes of rectifiers. In type A rectifiers the contacts…

Statistical Mechanics · Physics 2009-11-13 Lian-Ao Wu , Dvira Segal

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

Statistical Mechanics · Physics 2007-07-31 E. G. D. Cohen , Ramses van Zon

We compute the first-order correction to the correlation functions of the stationary state of a stochastically forced harmonic chain out of equilibrium when a small on-site anharmonic potential is added. This is achieved by deriving a…

Mathematical Physics · Physics 2009-11-10 R. Lefevere , A. Schenkel

Microscopic heat engines are microscale systems that convert energy flows between heat reservoirs into work or systematic motion. We have experimentally realized a minimal microscopic heat engine. It consists of a colloidal Brownian…

Statistical Mechanics · Physics 2017-11-15 Aykut Argun , Jalpa Soni , Lennart Dabelow , Stefano Bo , Giuseppe Pesce , Ralf Eichhorn , Giovanni Volpe

We describe a numerical scheme for exactly simulating the heat current behavior in a quantum harmonic chain with self-consistent reservoirs. Numerically-exact results are compared to classical simulations and to the quantum behavior under…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Malay Bandyopadhyay , Dvira Segal

We investigate the thermodynamics of a hybrid quantum device consisting of two qubits collectively interacting with a quantum rotor and coupled dissipatively to two equilibrium reservoirs at different temperatures. By modelling the dynamics…

Quantum Physics · Physics 2024-02-14 Heather Leitch , Kenza Hammam , Gabriele De Chiara

We study the heat transfer between N coupled quantum resonators with applied synthetic electric and magnetic fields realized by changing the resonators parameters by external drivings. To this end we develop two general methods, based on…

Quantum Physics · Physics 2023-10-17 S. -A. Biehs , P. Rodriguez-Lopez , M. Antezza , G. S. Agarwal

We show the existence of an entangled nonequilibrium state at very high temperatures when two linearly coupled harmonic oscillators are parametrically driven and dissipate into two independent heat baths. This result has a twofold meaning:…

Quantum Physics · Physics 2010-11-02 Fernando Galve , Leonardo A. Pachon , David Zueco

Small systems (of interest in the areas of nanophysics, quantum information, etc.) are particularly vulnerable to environmental effects. Thus, we determine various thermodynamic functions for an oscillator in an arbitrary heat bath at…

Quantum Physics · Physics 2007-05-23 G. W. Ford , R. F. O'Connell

We investigate heat transport through an assembly consisting of a two-level system coupled between two harmonic oscillators, which is described by the quantum Rabi model, as a prototype of nanoscale heat devices using controllable…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 Tsuyoshi Yamamoto , Takeo Kato

We calculate the reduced density matrix for a system of coupled harmonic oscillators in a bosonic heat bath using the Born-Markov approximation and show that the expectation values of position and momentum evolve like classical quantities.…

Statistical Mechanics · Physics 2011-08-09 Björn Bartels

For students familiar with equilibrium statistical mechanics, the notion of a positive specific heat, being intimately related to the idea of stability, is both intuitively reasonable and mathematically provable. However, for system in…

Statistical Mechanics · Physics 2009-11-07 R. K. P. Zia , E. L. Praestgaard , O. G. Mouritsen

We study in this article how heat can be exchanged between two level systems (TLS) each of them being coupled to a thermal reservoir. Calculation are performed solving a master equation for the density matrix using the Born…

Quantum Physics · Physics 2017-03-08 Karl Joulain , Younes Ezzahri , Jose Ordonez-Miranda

On the basis of analytical results and molecular dynamics simulations we clarify the nonequilibrium dynamics of a long-range interacting system in contact with a heat bath. For small couplings with the bath, we show that the system can…

Statistical Mechanics · Physics 2009-11-13 Fulvio Baldovin , Pierre-Henri Chavanis , Enzo Orlandini

The present work deals with the derivation of corrector estimates for the two-scale homogenization of a thermo-diffusion model with weak thermal coupling posed in a heterogeneous medium endowed with periodically arranged high-contrast…

Analysis of PDEs · Mathematics 2016-10-05 Adrian Muntean , Sina Reichelt

Recently there is a lot of attention given to manipulation of heat by constructing thermal devices such as thermal diodes, transistors and logic gates. Many of the models proposed have an asymmetry which leads to the desired effect.…

Statistical Mechanics · Physics 2018-06-13 Saurabh Kaushik , Sachin Kaushik , Rahul Marathe