Influence of atomic collisions on spectrum of light scattered from an f-deformed Bose-Einstein condensate

TL;DR

This paper explores how atomic collisions, modeled as f-deformations, influence the light scattering spectrum from a Bose-Einstein condensate, revealing deviations from the nondeformed case as collision effects increase.

Contribution

It introduces a novel f-deformed quantum model incorporating atomic collisions as deformation parameters to analyze light scattering spectra in BECs.

Findings

Deformation parameters k and eta significantly alter the scattering spectrum.

Increased deformation leads to observable deviations from the nondeformed BEC spectrum.

The model provides a new perspective on collision effects in quantum gases.

Abstract

In this paper, we investigate the spectrum of light scattered from a Bose-Einstein condensate in the framework of f-deformed boson. We use an f-deformed quantum model in which the Gardiners phonon operators for BEC are deformed by an operator-valued function, f(n), of the particle-number operator n. We consider the collisions between the atoms as a special kind of f-deformation. The collision rate k is regarded as the deformation parameter and the spectrum of light scattered from the deformed BEC is analyzed. In particular, we find that with increasing the values of deformation parameters k and eta=1/N (N, total number of condensate atoms) the scattering spectrum shows deviation from the spectrum associated with nondeformed Bose-Einstein condensate.