Heat transport along a chain of coupled quantum harmonic oscillators.
basic_science · Level V
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- Record sourced from PubMed, PMID 28505787.
- Also identified by DOI 10.1103/PhysRevE.95.042113.
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Abstract
I 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. My approach is based on the use of an evolution equation for the density operator which is a canonical quantization of the classical Fokker-Planck-Kramers equation. I set up the evolution equation for the covariances and obtain the stationary covariances at the stationary states from which I determine the thermal conductance in closed form when the interparticle interaction is small. The conductance is finite in the thermodynamic limit implying an infinite thermal conductivity.