Heat transport in harmonic oscillator systems with thermal baths: application to optomechanical arrays

André Xuereb, Alberto Imparato, Aurélien Dantan

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)
212 Downloads (Pure)

Abstract

We investigate the transport of phonons between N harmonic oscillators in contact with independent thermal baths and coupled to a common oscillator, and derive an expression for the steady state heat flow between the oscillators in the weak coupling limit. We apply these results to an optomechanical array consisting of a pair of mechanical resonators coupled to a single quantized electromagnetic field mode by radiation pressure as well as to thermal baths with different temperatures. In the weak coupling limit this system is shown to be equivalent to two mutually-coupled harmonic oscillators in contact with an effective common thermal bath in addition to their independent baths. The steady state occupation numbers and heat flows are derived and discussed in various regimes of interest.

Original languageEnglish
Article number055013
Number of pages14
JournalNew Journal of Physics
Volume17
DOIs
Publication statusPublished - 12 May 2015

Keywords

  • coupled oscillators
  • Fourier law
  • heat transport
  • optomechanical arrays

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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