Quantum Dynamics for the Control of Atomic State by a Quantized Optical Ring Cavity

TL;DR

This paper develops an analytical approach to study how the spatial motion of an atom affects its quantum tunneling behavior within a quantized optical ring cavity, considering different initial states and temperature effects.

Contribution

It introduces a generalized Born-Oppenheimer approximation to analyze atomic motion effects in a quantized cavity, providing explicit tunneling rate expressions for various initial conditions.

Findings

Tunneling rates depend on initial atomic states and temperature.

Doppler and recoil effects influence atomic control schemes.

Analytical expressions enable better understanding of atom-cavity interactions.

Abstract

A generalized approach of the Born-Oppenheimer approximation is developed to analytically deal with the influence exercised by the spatial motion of atom's mass-center on a two-level atom in an optical ring cavity with a quantized single-mode electromagnetic field. The explicit expressions of tunneling rate are obtained for various cases, such as that with initial coherent state and thermal equilibrium state at finite temperature. Therefore, the studies for Doppler and recoil effects of the spatial motion on the scheme controlling atomic tunneling should be reconsidered in terms of the initial momentum of atom's mass center.