A duality between a dark state and a quasi-dark state

TL;DR

This paper explores a duality between dark and quasi-dark states in an optomechanical system involving an atom, cavity, and mechanical resonator, revealing conditions for their emergence and their interrelation.

Contribution

It introduces the concept of quasi-dark states into optomechanical systems and proves a duality between dark and quasi-dark states under certain interactions.

Findings

Dark and quasi-dark states can coexist in the system.

A duality relation exists between dark and quasi-dark states.

Conditions for the appearance of each state are identified.

Abstract

We consider the optomechanical system consisting of an atom-cavity system coupled with a mechanical resonator, and expand the notion of quasi-dark state to the optomechanical system. We theoretically prove that even if both the one-mode light of the cavity and the one-mode Bose field of the mechanical resonator interact with the atom, each of a dark state and a quasi-dark state has an individual chance to appear when an interaction between the one-mode light and the one-mode Bose field exists. We then come up with a duality between the dark state and the quasi-dark state.