Coupled dynamics of an atom and an optomechanical cavity

TL;DR

This paper investigates the complex interactions and entanglement dynamics between an atom, a vibrating mirror, and a cavity field, revealing nonlinear couplings and potential for quantum entanglement in optomechanical systems.

Contribution

It introduces a model analyzing the coupled motion of an atom and an optomechanical cavity, highlighting nonlinear interactions and entanglement generation.

Findings

Nonlinear couplings between atom and cavity field induced by mirror vibrations.

Entanglement observed between atomic motion and mirror vibration.

Numerical simulations demonstrate the dynamics of population and entanglement.

Abstract

We consider the motion of the end mirror of a cavity inside which a two-level atom trapped. The fast vibrating mirror induces nonlinear couplings between the cavity field and the atom. We analyze this optical effect by showing the population of the atom in its internal degrees of freedom as a function of time. On the other side, fast atom-field variables result in an additional potential for the atomic center-of-mass motion and the mirror vibration, leading to entanglement in the motion and the vibration. The entanglement has been numerically simulated and discussed.