Condensate wave function and elementary excitations of bosonic polar molecules: beyond the first Born approximation

TL;DR

This paper studies the effects of going beyond the first Born approximation on the condensate wave function and excitations of strongly interacting bosonic polar molecules, highlighting significant corrections near collapse conditions and discussing experimental observability.

Contribution

It introduces a variational method to incorporate leading order corrections beyond the FBA in analyzing bosonic polar molecules.

Findings

Leading order corrections are significantly enhanced near the collapse phase boundary.

The effects beyond FBA can be observed in realistic experimental setups.

The variational approach effectively captures beyond-FBA physics in strongly interacting systems.

Abstract

We investigate the condensate wave function and elementary excitations of strongly interacting bosonic polar molecules in a harmonic trap, treating the scattering amplitude beyond the standard first Born approximation (FBA). By using an appropriate trial wave function in the variational method, effects of the leading order correction beyond the FBA have been investigated and shown to be significantly enhanced when the system is close to the phase boundary of collapse. How such leading order effect of going beyond the FBA can be observed in a realistic experiment is also discussed.