On a theory of light scattering from a Bose-Einstein condensate

TL;DR

This paper develops a quantum theoretical framework for elastic light scattering in Bose-Einstein condensates, incorporating density corrections, static interactions, and incoherent scattering effects near resonance.

Contribution

It introduces a set of coupled diagram equations for the polariton propagator, enabling detailed analysis of scattering processes in BECs with density and loss effects.

Findings

Density corrections significantly affect the quasi-energy structure.

Static interactions modify scattering properties near resonance.

Incoherent scattering contributes to radiation losses.

Abstract

We consider a quantum theory of elastic light scattering from macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following to the second quantized formalism we introduce a set of coupled and closed diagram equations for the polariton propagator contributing to the $T$ -matrix and scattering amplitude. Our approach allows to follow important density correction to the quasi-energy structure caused by static interaction and radiation losses associated with incoherent scattering in the case of near resonance excitation.