Phase separation of binary condensates in harmonic and lattice potentials

TL;DR

This paper introduces a modified Gaussian ansatz to analyze binary condensates in harmonic and lattice potentials, capturing the transition from miscible to immiscible states and the effects of lattice depth on density profiles.

Contribution

The study presents a new Gaussian ansatz that smoothly models phase separation in binary condensates without prior assumptions, applicable to both harmonic and optical lattice traps.

Findings

The ansatz accurately describes the transition from miscible to immiscible phases.

Increased lattice depth causes squeezing of density profiles.

A three-well model relates lattice depth to condensate profiles.

Abstract

We propose a modified Gaussian ansatz to study binary condensates, trapped in harmonic and optical lattice potentials, both in miscible and immiscible domains. The ansatz is an apt one as it leads to the smooth transition from miscible to immiscible domains without any {\em a priori} assumptions. In optical lattice potentials, we analyze the squeezing of the density profiles due to the increase in the depth of the optical lattice potential. For this we develop a model with three potential wells, and define the relationship between the lattice depth and profile of the condensate.