2014/11/30 by André Xuereb, Alberto Imparato, Aurélien Dantan · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Coupling (piping) #Field (mathematics) #Harmonic #Harmonic oscillator #Mechanical and Optical Resonators #Resonator #Steady state (chemistry) #Thermal #Thermal conduction #Thermal properties of materials #Thermal radiation #Thermoelastic and Magnetoelastic Phenomena #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1367-2630/17/5/055013
published as New J. Phys. 17, 055013 (2015) · 18 pages, 3 figures
arxiv created 2014/12/23 · openalex publication_date 2015/05/12 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.