Heat transport in quantum harmonic chains with Redfield baths

Details Heat transport in quantum harmonic chains with Redfield baths Heat transport in quantum harmonic chains with Redfield baths

2012-03-09

arxiv.org/abs/1203.2139v2

Physics

Condensed Matter

Statistical Mechanics

17 pages, 3 figures

Scientific paper

We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an example we consider a one-dimensional quantum harmonic oscillator chain coupled to thermal reservoirs at both ends of the chain. We derive an analytic solution of the Redfield master equation for homogeneous harmonic chain and recover classical results, namely, vanishing temperature gradient and constant heat current in the thermodynamic limit. In the case of the disordered gapped chains we observe universal heat current scaling independent of the bath spectral function, the system-bath coupling strength, and the boundary conditions.

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