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We consider heat transfer between two thermal reservoirs mediated by a quantum system using the generalized quantum Langevin equation. The thermal reservoirs are treated as ensembles of oscillators within the framework of the Drude-Ullersma…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 George Y. Panasyuk , George A. Levin , Kirk L. Yerkes

We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Abhishek Dhar

The traditional approach to studying near-field thermal transfer is based on fluctuational electrodynamics. However, this approach may not be suitable for nonequilibrium states due to dynamic drivings. In our work, we introduce a…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Gaomin Tang , Jian-Sheng Wang

We consider heat conduction across an ordered oscillator chain with harmonic interparticle interactions and also onsite harmonic potentials. The onsite spring constant is the same for all sites excepting the boundary sites. The chain is…

Statistical Mechanics · Physics 2009-11-13 Dibyendu Roy , Abhishek Dhar

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the…

Condensed Matter · Physics 2007-05-23 Tooru Taniguchi

The amount of heat an integer quantum Hall edge state can carry in equilibrium is quantized in universal units of the heat flux quantum $J_q= \frac{\pi k_B^2}{12 \hbar}T^2$ per edge state. We adress the question of how heat transport in…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Florian Stäbler , Eugene Sukhorukov

We introduce a non-equilibrium version of the Caldeira-Leggett model in which a quantum particle is strongly coupled to a set of engineered reservoirs. The reservoirs are composed by collections of squeezed and displaced thermal modes, in…

Quantum Physics · Physics 2026-05-19 Vasco Cavina , Massimiliano Esposito

We consider the temperature fluctuations of a small object. Classical fluctuations of the temperature have been considered for a long time. Using the Nyquist approach, we show that the temperature of an object fluctuates when in a thermal…

Statistical Mechanics · Physics 2015-06-24 A. V. Balatsky , Jian-Xin Zhu

Steady-state quantum thermal machines are typically characterized by a continuous flow of heat between different reservoirs. However, at the level of discrete stochastic realizations, heat flow is unraveled as a series of abrupt quantum…

Quantum Physics · Physics 2025-06-05 Abhaya S. Hegde , Patrick P. Potts , Gabriel T. Landi

We develop a theory of heat transport in non-chiral transmission lines (TLs) of quantum Hall edge channels coupled to Ohmic contacts (OCs) that accounts for a dynamical accumulation of charge in the reservoirs. As a consequence, heat…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Florian Stäbler , Alioune Gadiaga , Eugene V. Sukhorukov

We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strength of the interaction between two lattice sites decays as a…

Statistical Mechanics · Physics 2018-03-14 Stefano Iubini , Pierfrancesco Di Cintio , Stefano Lepri , Roberto Livi , Lapo Casetti

Through an exact analysis using quantum Langevin dynamics, we demonstrate the crossover from ballistic to diffusive thermal transport in a harmonic chain with each site connected to Ohmic heat reservoirs. The temperatures of the two heat…

Statistical Mechanics · Physics 2009-11-13 Dibyendu Roy

This work concerns the statistics of the Two-Time Measurement definition of heat variation in each reservoir of a thermodynamic quantum system. We study the cumulant generating function of the heat flows in the thermodynamic and large-time…

Mathematical Physics · Physics 2019-10-30 Tristan Benoist , Annalisa Panati , Yan Pautrat

This paper systematically studied heat transfer through two transversely coupled qubits in contact with two types of heat reservoirs. One is the independent heat reservoir which essentially interacts with only a single qubit, the other is…

Quantum Physics · Physics 2023-09-26 Yi-jia Yang , Yu-qiang Liu , Chang-shui Yu

Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir.…

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

We obtain an analytical expression for the heat current between two overdamped quantum oscillators interacting with local thermal baths at different temperatures. The total heat current is split into classical and quantum contributions. We…

Quantum Physics · Physics 2021-01-04 Sadeq S. Kadijani , Thomas L. Schmidt , Massimiliano Esposito , Nahuel Freitas

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

Statistical Mechanics · Physics 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni
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