Pair correlations of scattered atoms from two colliding Bose-Einstein Condensates: Perturbative Approach

TL;DR

This paper presents an analytical perturbative model to evaluate the second order correlation function of scattered atoms from colliding Bose-Einstein condensates, comparing results with experiments and other theories.

Contribution

It introduces a perturbative analytical approach using quantized scattering modes for anisotropic BEC collisions, providing insights into atom correlations.

Findings

Agreement with recent experimental data

Validation of the perturbative approach

Comparison with alternative theoretical models

Abstract

We apply an analytical model for anisotropic, colliding Bose-Einstein condensates in a spontaneous four wave mixing geometry to evaluate the second order correlation function of the field of scattered atoms. Our approach uses quantized scattering modes and the equivalent of a classical, undepleted pump approximation. Results to lowest order in perturbation theory are compared with a recent experiment and with other theoretical approaches.