Ground State Geometry of Binary Condensates in Axisymmetric Traps

TL;DR

This paper investigates how the ground state interface geometry of binary condensates transitions smoothly from planar to ellipsoidal to cylindrical shapes as the trapping potential varies, emphasizing the importance of including interface energy in energy minimization.

Contribution

It demonstrates that accurate ground state geometries require considering interface energy, correcting previous approximations based solely on Thomas-Fermi methods.

Findings

Interface geometry transitions smoothly with trap shape.

Including interface energy yields correct ground state geometries.

Thomas-Fermi approximation can lead to incorrect geometries.

Abstract

We show that the ground state interface geometry of binary condensates in the phase separated regime undergoes a smooth transition from planar to ellipsoidal to cylindrical geometry. This occurs for condensates with repulsive interactions as the trapping potential is changed from prolate to oblate. The correct ground state geometry emerges when the interface energy is included in the energy minimization. Where as energy minimization based on Thomas-Fermi approximation gives incorrect geometry.