Early Stage of Superradiance from Bose-Einstein Condensates

TL;DR

This paper models the early dynamics of superradiant Rayleigh scattering from Bose-Einstein Condensates using a spatially dependent quantum approach, comparing it with mean field models and analyzing coherence properties of scattered light.

Contribution

It introduces a spatially dependent quantum model for superradiance in BECs and provides a method to compute quantum expectations from semiclassical solutions.

Findings

Analytic solutions for operator dynamics in superradiance

Comparison between quantum and mean field predictions

Analysis of coherence functions revealing internal system dynamics

Abstract

We investigate the dynamics of matter and optical waves at the early stage of superradiant Rayleigh scattering from Bose-Einstein Condensates. Our analysis is within a spatially dependent quantum model which is capable of providing analytic solutions for the operators of interest. The predictions of the present model are compared to the predictions of a closely related mean field model, and we provide a procedure that allows one to calculate quantum expectation values by averaging over semiclassical solutions. The coherence properties of the outgoing scattered light are also analyzed, and it is shown that the corresponding correlation functions may provide detailed information about the internal dynamics of the system.