A theoretical scheme for the realization of the sphere-coherent motional states in an atom-assisted optomechanical cavity

TL;DR

This paper proposes a theoretical method to generate sphere-coherent motional states in an atom-assisted optomechanical cavity, analyzing their nonclassical properties and the impact of dissipation mechanisms.

Contribution

It introduces a novel scheme linking atom-assisted optomechanics with trapped-ion systems to produce and study sphere-coherent states.

Findings

Sphere-coherent states can be generated via atom-field-mirror interactions.

Generated states exhibit quadrature squeezing and Wigner negativity.

Dissipation effects like atomic emission and mechanical damping influence state properties.

Abstract

A theoretical scheme for the realization of the sphere-coherent motional states in an optomechanical cavity in the presence of a two-level atom is proposed. To this end, the analogy between an atom-assisted optomechanical cavity and a laser-driven trapped-ion system is used. This analogy provides us with a theoretical tool to show how sphere-coherent states can be generated for the motional degree of freedom of the macroscopic mechanical oscillator from atom-field-mirror interactions in a multi-mode optomechanical cavity. Some nonclassical properties of the generated state of the mechanical oscillator, including the degree of quadrature squeezing and the negativity of the Wigner distribution are studied. We also examine the effects of the dissipation mechanisms involved in the system under consideration, including the atomic spontaneous emission and the damping of the motion of the mechanical oscillator, on the generated motional sphere-coherent states.