Photon blockade in quadratically coupled optomechanical systems

TL;DR

This paper investigates photon blockade phenomena in quadratically coupled optomechanical systems, demonstrating conditions under which single-photon resonant driving induces blockade, influenced by mechanical thermal noise, through analytical and numerical methods.

Contribution

It provides an analytical approximation and numerical analysis of photon blockade in quadratically coupled optomechanical cavities, highlighting the effects of thermal noise and system regimes.

Findings

Photon blockade occurs in deep-resolved-sideband and strong-coupling regimes.

Single-photon resonant driving can induce photon blockade.

Thermal noise limits the photon blockade effect.

Abstract

We study the steady-state photon statistics of a quadratically coupled optomechanical cavity, which is weakly driven by a monochromatic laser field. We examine the photon blockade by evaluating the second-order correlation function of the cavity photons. By restricting the system within the zero-, one-, and two-photon subspace, we obtain an approximate analytical expression for the correlation function. We also numerically investigate the correlation function by solving the quantum master equation including both optical and mechanical dissipations. The results show that, in the deep-resolved-sideband and single-photon strong-coupling regimes, the single-photon resonant driving will induce a photon blockade, which is limited by the thermal noise of the mechanical environment.