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We introduce a functional perturbative method for treating weakly nonlinear systems coupled with a quantum field bath. We demonstrate using this method to obtain the covariance matrix elements and the correlation functions of a quantum…

High Energy Physics - Theory · Physics 2020-07-01 Jen-Tsung Hsiang , B. L. Hu

We investigate the correlation properties in the steady state of driven-dissipative interacting bosonic systems in the quantum regime, as for example non-linear photonic cavities. Specifically, we consider the Bose-Hubbard model on a…

Quantum Gases · Physics 2025-03-18 Martina Zündel , Leonardo Mazza , Léonie Canet , Anna Minguzzi

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

Statistical Mechanics · Physics 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of…

Quantum Physics · Physics 2009-11-13 Kuan-Liang Liu , Hsi-Sheng Goan

Understanding non-equilibrium heat transport is crucial for controling heat flow in nano-scale systems. We study thermal energy transfer in a generalized non-equilibrium spin-boson model (NESB) with non-commutative system-bath coupling…

Statistical Mechanics · Physics 2019-07-29 Chenru Duan , Chang-Yu Hsieh , Junjie Liu , Jianshu Cao

We investigate nonlinear thermoelectric transport through quantum impurity systems with strong on-site interactions. We show that the steady-state transport through interacting quantum impurities in contact with electron reservoirs at…

Strongly Correlated Electrons · Physics 2014-01-03 Prasenjit Dutt , Karyn Le Hur

Ultracold atoms offer a unique opportunity to study many-body physics in a clean and well-controlled environment. However, the isolated nature of quantum gases makes it difficult to study transport properties of the system, which are among…

Quantum Gases · Physics 2022-12-28 Ling-Na Wu , André Eckardt

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

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

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 investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate…

Quantum Physics · Physics 2009-11-13 Hannu Wichterich , Markus J. Henrich , Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

We study the asymptotic entanglement of two quantum harmonic oscillators nonlinearly coupled to an environment. Coupling to independent baths and a common bath are investigated. Numerical results obtained using the Wangsness-Bloch-Redfield…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Aurora Voje , Alexander Croy , Andreas Isacsson

We study the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density…

Statistical Mechanics · Physics 2017-04-26 Mario J. de Oliveira

Collision models provide a simple and versatile setting to capture the dynamics of open quantum systems. The standard approach to thermalisition in this setting involves an environment of independent and identically-prepared thermal qubits,…

Quantum Physics · Physics 2026-02-10 Ronan McElvogue , Andrew K. Mitchell , Gabriel T. Landi , Steve Campbell

We identify sufficient conditions on the structure of the interaction Hamiltonian between a two-level quantum system and a thermal bath which, without any external drive or coherent measurement, guarantee the generation of steady-state…

Quantum Physics · Physics 2018-08-22 Giacomo Guarnieri , Michal Kolar , Radim Filip

Analyzing routes of transport for open quantum systems with non-equilibrium initial conditions is extremely challenging. The state-to-state approach [A. Bose, and P.L. Walters, J. Chem. Theory Comput. 2023, 19, 15, 4828-4836] has proven to…

Quantum Physics · Physics 2026-04-14 Devansh Sharma , Amartya Bose

The quantum harmonic oscillator is the fundamental building block to compute thermal properties of virtually any dielectric crystal at low temperatures in terms of phonons, extended further to cases with anharmonic couplings, or even…

Statistical Mechanics · Physics 2021-10-05 Vladislav Efremkin , Jean-Louis Barrat , Stefano Mossa , Markus Holzmann

We study the reduced dynamics of a pair of non-degenerate oscillators coupled collectively to a thermal bath. The model is related to the trilinear boson model where the idler mode is promoted to a field. Due to nonlinear coupling, the…

Quantum Physics · Physics 2013-05-15 B. A. Tay

In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperature, which are coupled to opposite ends of the lattice, with focus on the validity of Fourier's…

Quantum Physics · Physics 2013-05-14 A. Asadian , D. Manzano , M. Tiersch , H. J. Briegel

We study full counting statistics for classical heat transport through anharmonic/nonlinear molecular junctions formed by interacting oscillators. Analytical result of the steady state heat flux for an overdamped anharmonic junction with…

Statistical Mechanics · Physics 2013-03-13 Sha Liu , Bjiay Kumar Agarwalla , Jian-Sheng Wang , Baowen Li