Multi-Stability of Electromagnetically Induced Transparency in Atom-Assisted Optomechanical Cavities

TL;DR

This paper investigates how an oscillating mirror influences electromagnetically induced transparency (EIT) in an atom-cavity system, revealing multiple steady states and complex EIT behavior due to mirror back-action.

Contribution

It introduces a model of an atom-assisted optomechanical cavity with multiple steady states affecting EIT, highlighting the complex interplay between mechanical oscillations and optical transparency.

Findings

Multiple steady states (1-5) exist for the oscillating mirror.

The EIT can be significantly altered by the mirror's steady state.

Different mirror states produce distinct effects on the EIT susceptibility.

Abstract

We study how an oscillating mirror affects the electromagnetically induced transparency (EIT) of an atomic ensemble, which is confined in a gas cell placed inside a micro-cavity with an oscillating mirror in one end. The oscillating mirror is modeled as a quantum mechanical harmonic oscillator. The cavity field acts as a probe light of the EIT system and also produces a light pressure on the oscillating mirror. The back-action from the mirror to the cavity field results in several (from one to five) steady-states for this atom-assisted optomechanical cavity, producing a complex structure in its EIT. We calculate the susceptibility with respect to the few (from one to three) stable solutions found here for the equilibrium positions of the oscillating mirror. We find that the EIT of the atomic ensemble can be significantly changed by the oscillating mirror, and also that the various steady states of the mirror have different effects on the EIT.