Evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries

TL;DR

This paper models the dynamics of collapsing and exploding Bose-Einstein condensates under various trap symmetries using the Gross-Pitaevskii equation, predicting shape evolution, atom loss, and jet formation for experimental verification.

Contribution

It provides new theoretical predictions on how trap symmetry and optical lattice potentials influence BEC collapse and explosion dynamics, including jet formation.

Findings

Shape evolution varies with trap symmetry

Collapse and explosion depend on optical lattice presence

Jet formation occurs when collapse is abruptly halted

Abstract

Based on the time-dependent Gross-Pitaevskii equation we study the evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries to see the effect of confinement on collapse and subsequent explosion, which can be verified in future experiments. We make prediction for the evolution of the shape of the condensate and the number of atoms in it for different trap symmetries (cigar to pancake) as well as in the presence of an optical lattice potential. We also make prediction for the jet formation in different cases when the collapse is suddenly terminated by changing the scattering length to zero via a Feshbach resonance.