Dynamics of Coupled Topological - Collective Modes of a Bose-Einstein Condensate

TL;DR

This paper develops a theoretical framework for understanding how external electromagnetic fields can resonantly induce coupled topological and collective modes in a Bose-Einstein condensate, considering both linear and nonlinear interactions.

Contribution

It introduces a comprehensive theory for resonant coupling of topological and collective modes in BECs, accounting for trap effects, external fields, and atomic collisions.

Findings

Coupling can be linear or nonlinear based on external field tuning.

The theory incorporates trap frequency and atomic interactions.

Resonant formation of coupled modes is theoretically modeled.

Abstract

We develop the theory of the resonant formation of coupled topological-collective coherent modes in the presence of a quantized trap and classical external field. The coupling between the topological and the collective modes can be linear as well as non-linear depending upon the tuning of the external extremely low frequency electromagnetic field. This tuning depends on the trap frequency and the energy level separation between the ground and the first excited topological coherent mode modified by the two body atomic collisions.