Erratum: Phonon mediated off-resonant quantum dot–cavity coupling under resonant excitation of the quantum dot [Phys. Rev. B84, 085309 (2011)

Abstract

where ρdos(ν) is the density of states of phonons at frequency ν and other parameters are explained in the original paper. The values of γr used in the paper were based on the experimental results. Therefore, the error in Eq. (A26) does not affect any conclusions and results of the paper. The derivation of this expression follows Carmichael (Ref. 1, Chap. 1.3). Starting with the equations for correlation functions [(A24) and (A25)] from the paper, the summation over reservoir oscillators can be replaced with integration over the reservoir by introducing a density of states of phonons at a frequency ω as ρdos(ω) [such that ρdos(ω)dω gives the total number of oscillators, i.e., phonons with frequencies in the intervals ω and ω + dω], and transforming g 23 → g23(ω). We note that, by such definition, ρdos(ω) has a dimension of inverse frequency. This leads to the following expressions for the correlation functions (where τ = t ′ − t): 〈 †(t + τ ) (t)〉R = ∫ ∞