Bistability in Feshbach Resonance

TL;DR

This paper investigates matter wave bistability in a coupled atom-molecule condensate with Feshbach resonance, analyzing conditions for bistability caused by two-body interactions and cavity effects, including transitions between various states.

Contribution

It derives analytical conditions for bistability thresholds in atom-molecule condensates influenced by Feshbach resonance and cavity-mediated interactions, revealing new transition possibilities.

Findings

Bistability thresholds are analytically determined.

Transitions include mixed to pure molecular states.

Cavity-mediated interactions enable multiple bistable states.

Abstract

A coupled atom-molecule condensate with an intraspecies Feshbach resonance is employed to explore matter wave bistability both in the presence and in the absence of a unidirectional optical ring cavity. In particular, a set of conditions are derived that allow the threshold for bistability, due both to two-body s-wave scatterings and to cavity-mediated two-body interactions, to be determined analytically. The latter bistability is found to support, not only transitions between a mixed (atom-molecule) state and a pure molecular state as in the former bistability, but also transitions between two distinct mixed states.