Cooling of a $\Lambda$-type three-level atom in a high finesse optical cavity

TL;DR

This paper presents a theoretical analysis of cavity cooling for a $\\Lambda$-type three-level atom in a high-finesse optical cavity, deriving analytical expressions and demonstrating the potential for sub-Doppler cooling.

Contribution

It provides analytical formulas for cooling parameters and shows how cavity field interactions enable lower temperatures and higher cooling rates without spontaneous emission issues.

Findings

Achieves temperatures below the Doppler limit.

Demonstrates larger cooling rates.

Provides analytical expressions for friction and diffusion.

Abstract

A theoretical study is carried out for the cavity cooling of a $\Lambda$-type three level atom in a high-finesse optical cavity with a weakly driven field. Analytical expressions for the friction, diffusion coefficients and the equilibrium temperatures are obtained by using the Heisenberg equations, then they are calculated numerically and shown graphically as a function of controlling parameters. For a suitable choice of these parameters, the dynamics of the cavity field interaction with the $\Lambda$-type three-level atom introduces a sisyphus cooling mechanism yielding lower temperatures below the Doppler limit and allowing larger cooling rate, avoiding the problems induced by spontaneous emission.