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We propose a feasible and effective approach to study quantum thermal transport through anharmonic systems. The main idea is to obtain an {\it effective} harmonic Hamiltonian for the anharmonic system by applying the self-consistent phonon…

Statistical Mechanics · Physics 2016-10-19 Dahai He , Juzar Thingna , Jian-Sheng Wang , Baowen Li

Here, we study a minimal model, the three-level V system coupled to two heat baths, and investigate the role of quantum coherences in heat transport in both the transient regime and in the nonequilibrium steady-state. In our model, energy…

Quantum Physics · Physics 2022-10-19 Felix Ivander , Nicholas Anto-Sztrikacs , Dvira Segal

Recent experiments in hybrid-quantum systems facilitate the potential realization of one of the most fundamental interacting Hamiltonian-Reservoir system, namely, the single-site Bose-Hubbard model coupled to two reservoirs at different…

Quantum Physics · Physics 2017-01-02 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

We present a systematic procedure to derive a quantum master equation for thermal relaxation in real scalar field theory, expanding on the method proposed in [Koide and Nicacio, Phys. Lett. A494, 129277 (2024)]. We begin by introducing a…

Quantum Physics · Physics 2025-12-04 T. Koide , F. Nicacio

We study particle and energy transport in an open quantum system consisting of a three harmonic oscillator chain coupled to thermal baths at different temperatures placed at the ends of the chain. We consider the exact dynamics of the open…

Quantum Physics · Physics 2025-10-28 Melika Babakan , Fabio Benatti , Laleh Memarzadeh

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

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 consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

This article proposes a Variational Quantum Algorithm to solve linear and nonlinear thermofluid dynamic transport equations. The hybrid classical-quantum framework is applied to problems governed by the heat, wave, and Burgers' equation in…

Quantum Physics · Physics 2025-11-06 Sergio Bengoechea , Paul Over , Dieter Jaksch , Thomas Rung

We consider the harmonic chain of oscillators with self-consistent stochastic reservoirs and give a new proof for the finitude of its thermal conductivity in the steady state. The approach, with involves an integral representation for the…

Statistical Mechanics · Physics 2009-11-13 Ricardo Falcao , Antônio Francisco Neto , Emmanuel Pereira

A geometry-based mechanism for generating steady-state internal circulation of local thermal currents is demonstrated by harmonically coupled quantum oscillators formulated by the Redfield quantum master equation (RQME) and the Bose Hubbard…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Palak Dugar , Chih-Chun Chien

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

Time evolution of a harmonic oscillator linearly coupled to a heat bath is compared for three classes of initial states for the bath modes - grand canonical ensemble, number states and coherent states. It is shown that for a wide class of…

Quantum Physics · Physics 2009-11-10 Andrey Pereverzev

We investigate the quantum thermal transistor effect in nonequilibrium three-level systems by applying the polaron transformed Redfield equation combined with full counting statistics. The steady state heat currents are obtained via this…

Quantum Physics · Physics 2020-08-26 Chen Wang , Dazhi Xu

We obtain an exact Green-Kubo type linear response result for the heat current in an open system. The result is derived for classical Hamiltonian systems coupled to heat baths. Both lattice models and fluid systems are studied and several…

Statistical Mechanics · Physics 2009-11-13 Anupam Kundu , Abhishek Dhar , Onuttom Narayan

In this article, we derive the stochastic master equations corresponding to the statistical model of a heat bath. These stochastic differential equations are obtained as continuous time limits of discrete models of quantum repeated…

Quantum Physics · Physics 2010-06-17 Ion Nechita , Clément Pellegrini

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

Mathematical Physics · Physics 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

Statistical Mechanics · Physics 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states…

Quantum Gases · Physics 2020-08-18 Tianqi Chen , Vinitha Balachandran , Chu Guo , Dario Poletti

We obtain a non-Markovian quantum master equation directly from the quantization of a non-Markovian Fokker-Planck equation describing the Brownian motion of a particle immersed in a generic environment (e.g. a non-thermal fluid). As far as…

Statistical Mechanics · Physics 2011-03-25 A. O. Bolivar