We develop a dynamical theory of heat transfer between two nanosystems. In particular, we consider the resonant heat transfer between two nanoparticles due to the coupling of localized surface modes having a finite spectral width. We model the coupled nanosystem by two coupled quantum mechanical oscillators, each interacting with its own heat bath, and obtain a master equation for the dynamics of heat transfer. The damping rates in the master equation are related to the lifetimes of localized plasmons in the nanoparticles. We study the dynamics toward the steady state and establish connection with the standard theory of heat transfer in the steady state. For strongly coupled nanoparticles, we predict Rabi oscillations in the mean occupation number of surface plasmons in each nanoparticle.
© 2013 Optical Society of America
Optics at Surfaces
Original Manuscript: November 20, 2012
Revised Manuscript: January 14, 2013
Manuscript Accepted: January 16, 2013
Published: February 22, 2013
Svend-Age Biehs and Girish S. Agarwal, "Dynamical quantum theory of heat transfer between plasmonic nanosystems," J. Opt. Soc. Am. B 30, 700-707 (2013)