Meanfield treatment of Bragg scattering from a Bose-Einstein condensate
Peter B. Blakie, Robert J. Ballagh

TL;DR
This paper presents a semiclassical mean-field approach to analyze Bragg scattering in Bose-Einstein condensates, providing analytic solutions and numerical validation for understanding atomic momentum oscillations and linewidths.
Contribution
It introduces an approximate analytic solution based on the Gross-Pitaevskii equation for Bragg scattering, enhancing understanding of momentum dynamics in BECs.
Findings
Analytic expression for atomic momentum oscillations
Quantitative understanding of momentum linewidth
Validation through 3D numerical simulations
Abstract
A unified semiclassical treatment of Bragg scattering from Bose-Einstein condensates is presented. The formalism is based on the Gross-Pitaevskii equation driven by classical light fields far detuned from atomic resonance. An approximate analytic solution is obtained and provides quantitative understanding of the atomic momentum state oscillations, as well as a simple expression for the momentum linewidth of the scattering process. The validity regime of the analytic solution is derived, and tested by three dimensional cylindrically symmetric numerical simulations.
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