A renormalized Gross-Pitaevskii Theory and vortices in a strongly interacting Bose gas

TL;DR

This paper develops a renormalized Gross-Pitaevskii theory for strongly interacting Bose gases, capturing both dilute and dense regimes, and analyzes vortex formation and critical rotation speeds.

Contribution

It introduces a novel renormalized Gross-Pitaevskii framework based on slave-boson representation for hard-core bosons, extending the theory to dense regimes.

Findings

Calculated condensate density for rotating Bose gases.

Determined critical angular velocity for vortex stability.

Compared vortex properties in dilute and dense regimes.

Abstract

We consider a strongly interacting Bose-Einstein condensate in a spherical harmonic trap. The system is treated by applying a slave-boson representation for hard-core bosons. A renormalized Gross-Pitaevskii theory is derived for the condensate wave function that describes the dilute regime (like the conventional Gross-Pitaevskii theory) as well as the dense regime. We calculate the condensate density of a rotating condensate for both the vortex-free condensate and the condensate with a single vortex and determine the critical angular velocity for the formation of a stable vortex in a rotating trap.