Non-linear optics with two trapped atoms

TL;DR

This paper theoretically demonstrates that two atoms in a resonator can form a controllable non-linear medium capable of acting as a parametric amplifier, with potential observation in laser-cooled atomic self-organization.

Contribution

It introduces a novel theoretical model showing how two trapped atoms can produce non-linear optical effects and act as a parametric amplifier within a resonator.

Findings

System operates as a parametric amplifier under certain conditions

Spectrum of squeezing of the output field is characterized

Self-organization of laser-cooled atoms could realize this dynamics

Abstract

We show theoretically that two atomic dipoles in a resonator constitute a non-linear medium, whose properties can be controlled through the relative position of the atoms inside the cavity and the detuning and intensity of the driving laser. We identify the parameter regime where the system operates as a parametric amplifier, based on the cascade emission of the collective dipole of the atoms, and determine the corresponding spectrum of squeezing of the field at the cavity output. This dynamics could be observed as a result of self-organization of laser-cooled atoms in resonators.