Solitons in coupled atomic-molecular Bose-Einstein condensates in a trap

TL;DR

This paper investigates soliton solutions in coupled atomic-molecular Bose-Einstein condensates within a trap, highlighting how particle number influences soliton profiles and discussing experimental methods for their realization.

Contribution

It provides a detailed analysis of bright soliton solutions in coupled atomic-molecular BECs near Feshbach resonance, including the transition to dark soliton profiles with increasing particles.

Findings

Bright solitons are found in the system near Feshbach resonance.

Increasing particle number causes bright solitons to resemble dark solitons.

Methods for experimental preparation and detection are discussed.

Abstract

We consider coupled atomic-molecular Bose-Einstein condensate system in a quasi-one-dimensional trap. In the vicinity of a Feshbach resonance the system can reveal soliton-like behavior. We analyze bright soliton solutions for the system in the trap and in the presence of the interactions between particles. We show that with increasing number of particles in the system two bright soliton solutions start resembling dark soliton profiles known in an atomic Bose-Einstein condensate with repulsive interactions between atoms. We analyze also methods for experimental preparation and detection of the soliton states.