Single-photon quadratic optomechanics
Abstract
We present exact analytical solutions to study the coherent interaction between a single photon and the mechanical motion of a membrane in quadratic optomechanics. We consider single-photon emission and scattering when the photon is initially inside the cavity and in the fields outside the cavity, respectively. Using our solutions, we calculate the single-photon emission and scattering spectra, and find relations between the spectral features and the system's inherent parameters, such as: the optomechanical coupling strength, the mechanical frequency, and the cavity-field decay rate. In particular, we clarify the conditions for the phonon sidebands to be visible. We also study the photon-phonon entanglement for the long-time emission and scattering states. The linear entropy is employed to characterize this entanglement by treating it as a bipartite one between a single mode of phonons and a single photon.
Cite
@article{arxiv.1304.6612,
title = {Single-photon quadratic optomechanics},
author = {Jie-Qiao Liao and Franco Nori},
journal= {arXiv preprint arXiv:1304.6612},
year = {2014}
}
Comments
10 pages, 7 figures