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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

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

Quantum thermal transport and two-photon statistics serve as two representative nonequilibrium features in circuit quantum electrodynamics systems. Here, we investigate quantum heat flow and two-photon correlation function at steady-state…

Quantum Physics · Physics 2021-09-07 Zhe-Huan Chen , Han-Xin Che , Zhe-Kai Chen , Chen Wang , Jie Ren

We review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

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

The cooling effects of a nonlinear quantum oscillator via its interaction with an artificial atom (qubit) are investigated. The quantum dissipations through the environmental reservoir of the nonlinear oscillator are included, taking into…

Quantum Physics · Physics 2015-05-18 Mihai A. Macovei , Xiao-Tao Xie

The real time evolution of two pieces of quantum insulators, initially at different temperatures, is studied when they are glued together. Specifically, each subsystem is taken as a Bose-Hubbard model in a Mott insulator state. The process…

Quantum Gases · Physics 2015-04-28 Mateusz Łącki , Dominique Delande , Jakub Zakrzewski

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

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

Nonequilibrium heat transport and quantum thermodynamics in light-matter interacting systems have received increasing attention. Quantum thermal devices, e.g., heat valve and head diode, have been realized. Recently, it has been discovered…

Quantum Physics · Physics 2026-04-01 Kong Junran , Mao Mang , Liu Huan , Wang Chen

We observe the continuous emission of photons into a waveguide from a superconducting qubit without the application of an external drive. To explain this observation, we build a two-bath model where the qubit couples simultaneously to a…

We present a theoretical study of the quantum critical behavior in heat transport via a two-state system with sub-ohmic reservoirs. We calculate the temperature dependence of the thermal conductance near the quantum phase transition via the…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Tsuyoshi Yamamoto , Takeo Kato

We analyze heat and charge transport through a single-level quantum dot coupled to two BCS superconductors at different temperatures to first order in the tunnel coupling. In order to describe the system theoretically, we extend a real-time…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Mathias Kamp , Björn Sothmann

We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Xu-Min Chen , Chen Wang , Ke-Wei Sun

Accurate temperature estimation in the quantum and cryogenic regimes remains a fundamental challenge. Here, we investigate nonequilibrium quantum thermometry using a single-qubit probe coupled to a bosonic bath through noncommuting…

Quantum Physics · Physics 2025-12-23 Youssef Aiache , Abderrahim El Allati , İlkay Demir , Khadija El Anouz

We propose a nonequilibrium variational polaron transformation, based on an ansatz for nonequilibrium steady state (NESS) with an effective temperature, to study quantum heat transport at the nanoscale. By combining the variational polaron…

Chemical Physics · Physics 2019-07-05 ChangYu Hsieh , Junjie Liu , Chenru Duan , Jianshu Cao

We study the self-contained three-qubit quantum refrigerator, with a three-body interaction enabling cooling of the target qubit, in presence of baths composed of anharmonic quantum oscillators with Kerr-type nonlinearity. We show that such…

Quantum Physics · Physics 2023-11-20 Tanaya Ray , Sayan Mondal , Aparajita Bhattacharyya , Ahana Ghoshal , Debraj Rakshit , Ujjwal Sen

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 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

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich
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