Assessment of interspecies scattering lengths $a_{12}$ from stability of two-component Bose-Einstein condensates

TL;DR

This paper introduces a stability-based method to estimate interspecies scattering lengths in two-component Bose-Einstein condensates, providing a new approach that aligns well with existing literature and analytical methods.

Contribution

It develops a novel stability analysis technique to determine interspecies scattering lengths in two-component BECs, expanding the tools for understanding multi-component quantum gases.

Findings

Results agree with literature values for scattering lengths.

Method successfully applied to ninety atomic pairs.

Aligns with Painleve analysis outcomes.

Abstract

A stability method is used to assess possible values of interspecies scattering lengths a_12 in two-component Bose-Einstein condensates described within the Gross-Pitaevskii approximation. The technique, based on a recent stability analysis of solitonic excitations in two-component Bose-Einstein condensates, is applied to ninety combinations of atomic alkali pairs with given singlet and triplet intraspecies scattering lengths as input parameters. Results obtained for values of a_12 are in a reasonable agreement with the few ones available in the literature and with those obtained from a Painleve analysis of the coupled Gross-Pitaevskii equations.