Stability of the trapped nonconservative Gross-Pitaevskii equation with attractive two-body interaction

TL;DR

This paper investigates the stability of trapped atomic condensates with attractive interactions under nonconservative dynamics, exploring parameter regimes for stable and unstable states relevant to recent experimental conditions.

Contribution

It provides a numerical analysis of the stability regions in a nonconservative Gross-Pitaevskii model with attractive interactions, highlighting the effects of feeding and dissipation.

Findings

Identification of stable and unstable parameter regions

Impact of nonconservative effects on condensate stability

Relevance to experimental manipulation of scattering lengths

Abstract

The dynamics of a nonconservative Gross-Pitaevskii equation for trapped atomic systems with attractive two-body interaction is numerically investigated, considering wide variations of the nonconservative parameters, related to atomic feeding and dissipation. We study the possible limitations of the mean field description for an atomic condensate with attractive two-body interaction, by defining the parameter regions where stable or unstable formation can be found. The present study is useful and timely considering the possibility of large variations of attractive two-body scattering lengths, which may be feasible in recent experiments.