Spectrum of single-photon emission and scattering in cavity optomechanics

Abstract

We present an analytic solution describing the quantum state of a single photon after interacting with a moving mirror in a cavity. This includes situations when the photon is initially stored in a cavity mode as well as when the photon is injected into the cavity. In addition, we obtain the spectrum of the output photon in the resolved-sideband limit, which reveals spectral features of the single-photon strong-coupling regime in this system. We also clarify the conditions under which the phonon sidebands are visible and the photon-state frequency shift can be resolved.

Open quantum dynamics of single-photon optomechanical devices

“…Unlike Rabl and Nunnenkamp et al, who studied systematically the statistics of the out-going photons and the steady state reached by the mechanical oscillator, we focus instead on the fringe visibility of a single-photon interferometer, and the conditional quantum state of the mechanical oscillator upon the detection of an out-going photon. It is also worth mentioning a related solution obtained by Liao et al in the frequency domain [13], and the position-space Hamiltonian derived by Shen and Fan [14] in a similar setting.…”

Optomechanical analog of two-color electromagnetically induced transparency: Photon transmission through an optomechanical device with a two-level system

“…This Kerr nonlinearity can enable, in particular, the appearance of photon blockade or the generation of nonclassical states of microwave radiation (e.g., twocomponent [45] and multi-component [46] Schrödinger cat states). Also when a weak coherent probe field is applied to the cavity of an optomechanical system, the mechanical resonator can act as a switch to control the probe photon transmission such that photons can pass through the cavity one by one [47][48][49][50] or two by two [51,52] in the limit of the strong single-photon optomechanical coupling [53][54][55][56]. This phonon-induced photon blockade can be used to engineer nonclassical phonon states [57,58] of macroscopic mechanical resonators in low frequencies.…”

Squeezed Optomechanics with Phase-Matched Amplification and Dissipation

“…In this regime, several interesting single-photon quantum processes are predicted, for both the optical and the mechanical modes. For example: photon blockade, the preparation of the nonclassical states of the optical and mechanical modes, multi-phonon sidebands, and quantum state reconstruction of the mechanical oscillator [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. However, these effects have not yet been realized experimentally due to the intrinsically weak radiation-pressure coupling in current OMSs, i.e., g 0 κ.…”

“…Note that, only the squeezed mode a s is excited when ω s l ≈ ω s , and this is achieved by a joint effect of the probe and driving fields. In this case, the optomechanical coupling strength could be inferred by measuring the steady-state excitation spectrum, i.e., S( [23][24][25], which has been shifted by a constant N s when Φ = π (N s = 0 when Φ = π).…”