Complex solitons with power law behaviour in Bose-Einstein condensates near Feshbach resonance

TL;DR

This paper reports the discovery of stable complex solitons with power law behavior in Bose-Einstein condensates near Feshbach resonance, highlighting their unique properties and stability conditions.

Contribution

It introduces stable complex solitons in BECs near Feshbach resonance with non-zero chemical potential, expanding understanding of soliton solutions beyond traditional real counterparts.

Findings

Stable dark and bright solitons are found near Feshbach resonance.

Dark solitons travel with constant speed, differing from Lieb modes.

Solutions exist for non-zero chemical potential, unlike unstable real solitons.

Abstract

Complex, localized stable solitons, characterized by a power law behaviour, are found for a quasi-one-dimensional Bose-Einstein condensate near Feshbach resonance. Both dark and bright solitons can be excited in the experimentally allowed parameter domain, when two and three-body interactions are respectively repulsive and attractive. These solutions are obtained for non-zero chemical potential, unlike their unstable real counterparts which exist in the limit of vanishing $\mu$. The dark solitons travel with constant speed, which is quite different from the Lieb mode, where profiles with different speeds, bounded above by sound velocity can exist for specified interaction strengths.