Collapsing dynamics of attractive Bose-Einstein condensates in random potentials

TL;DR

This paper investigates how disorder influences the collapse and stability of attractive Bose-Einstein condensates, revealing that disorder can prevent collapse through analytical and variational methods.

Contribution

It introduces a variational approach to analyze the effects of random potentials on attractive BECs, providing new insights into their stability and collapse dynamics.

Findings

Disorder can prevent collapse of attractive BECs.

Analytical predictions for energy and width of condensates.

Frequency of breathing mode oscillations derived.

Abstract

We study the stationary and dynamical properties of three-dimensional trapped Bose-Einstein condensates with attractive interactions subjected to a random potential. To this end, a variational method is applied to solve the underlying Gross-Pitaevskii equation. We derive analytical predictions for the energy, the equilibrium width, and evolution laws of the condensate parameter. The breathing mode oscillations frequency of the condensate has been also calculated in terms of the gas and disorder parameters. We analyze in addition the dynamics of collapse from the Gaussian approximation. Surprisingly, we find that the intriguing interplay of the attractive interaction and disorder effects leads to prevent collapse of the condensate.