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Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions

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 law of heat conduction. We provide analytical solutions of the heat current through the quantum system in the non-equilibrium 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.

preprint2012arXivOpen access
A. AsadianD. ManzanoM. TierschH. J. Briegel
cond-mat.stat-mechquant-ph
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Open access4 authors2 topics
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A. AsadianD. ManzanoM. TierschH. J. Briegel

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