title: Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions.
abstract: In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperatures, which are coupled to opposite ends of the lattice, with a focus on the validity of Fourier's law of heat conduction. We provide analytical solutions of the heat current through the quantum system in the nonequilibrium steady state using the rotating-wave approximation and bath interactions described by a master equation of Lindblad form. The influence of local dephasing in the transition of ballistic to diffusive transport is investigated.
authors: Institute for Theoretical Physics, University of Innsbruck, Technikerstrasse 25, Innsbruck A-6020, Austria.
authors: A
authors: A
authors: Asadian
authors: D
authors: D
authors: Manzano
authors: M
authors: M
authors: Tiersch
authors: H J
authors: HJ
authors: Briegel
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D006358:Hot Temperature; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*; D011789:Quantum Theory; D013816:Thermodynamics