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We present a self contained formalism modelled after the Brownian motion of a quantum harmonic oscillator for describing the performance of microscopic Brownian heat engines like Carnot, Stirling and Otto engines. Our theory, besides…

Quantum Physics · Physics 2013-03-07 G. S. Agarwal , S. Chaturvedi

We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic…

Statistical Mechanics · Physics 2017-06-07 Robert Wulfert , Michael Oechsle , Thomas Speck , Udo Seifert

We apply the hierarchical equations of motion technique to analyzing nonequilibrium heat transport in a spin-boson type model, whereby heat transfer through a central spin is mediated by an intermediate pair of coupled harmonic oscillators.…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Graeme Pleasance , Francesco Petruccione

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

We investigate the heat transport in a nonequilibrium spin-boson model, where a two level system bridging two harmonic reservoirs at different temperatures, by employing a unitary transformation along with a resolvent operator expansion…

Quantum Physics · Physics 2020-06-24 Wei Wu

We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Ruofan Chen

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

Statistical Mechanics · Physics 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

An analog of the Meir-Wingreen formula for the steady-state heat current through a model molecular junction is derived. The expression relates the heat current to correlation functions that involve operators only acting on the degrees of…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 Kirill A. Velizhanin , Michael Thoss , Haobin Wang

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue problem and obtain the temporal evolution of the dynamical…

Quantum Physics · Physics 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Javier Guevara

We consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the…

Statistical Mechanics · Physics 2015-05-18 Ilki Kim

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact…

Quantum Physics · Physics 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu

We present a numerical method that consistently implements thermal fluctuations and hydrodynamic interactions to the motion of Brownian particles dispersed in incompressible host fluids. In this method, the thermal fluctuations are…

Soft Condensed Matter · Physics 2009-11-13 T. Iwashita , Y. Nakayama , R. Yamamoto

The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided…

Quantum Physics · Physics 2021-12-03 Carsten Henkel

We study the open system dynamics of a harmonic oscillator coupled with an artificially engineered reservoir. We single out the reservoir and system variables governing the passage between Lindblad type and non-Lindblad type dynamics of the…

Quantum Physics · Physics 2009-11-10 S. Maniscalco , J. Piilo , F. Intravaia , F. Petruccione , A. Messina

We present an exact solution for the heat conductance along a harmonic chain connecting two reservoirs at different temperatures. In this model, the end points correspond to Brownian particles with different damping coefficients. Such…

Statistical Mechanics · Physics 2020-09-09 G. A. Weiderpass , Gustavo M. Monteiro , A. O. Caldeira

Using a time-averaging technique we obtain exactly the probability distribution for position and velocity of a Brownian particle under the influence of two heat baths at different temperatures. These baths are expressed by a white noise…

Statistical Mechanics · Physics 2011-07-01 D. O. Soares-Pinto , W. A. M. Morgado

We provide insights into energetics of a Brownian oscillator in contact with a heat bath and driven by an external unbiased time-periodic force that takes the system out of thermodynamic equilibrium. Solving the corresponding Langevin…

Statistical Mechanics · Physics 2018-03-06 Mohammad Yaghoubi , M. Ebrahim Foulaadvand , Antoine Bérut , Jerzy Łuczka

We develop a Lindblad framework for quantum stochastic thermodynamics to study the nonequilibrium thermodynamics of open quantum systems. Our approach adopts the local quantum detailed balance condition, ensuring thermodynamic consistency…

Quantum Physics · Physics 2025-02-28 Jin-Fu Chen

In the context of stochastic thermodynamics, a minimal model for non equilibrium steady states has been recently proposed: the Brownian Gyrator (BG). It describes the stochastic overdamped motion of a particle in a two dimensional harmonic…

Statistical Mechanics · Physics 2020-10-07 Andrea Baldassarri , Andrea Puglisi , Luca Sesta
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