Beats and Expansion of Two-Component Bose-Einstein Condensates in the Thomas-Fermi Limit

TL;DR

This paper analytically investigates the beating frequencies in collective oscillations of two-component Bose-Einstein condensates and demonstrates that the Thomas-Fermi approximation accurately describes their expansion after trap release.

Contribution

It provides an analytical expression for beating frequencies and validates the Thomas-Fermi approximation for two-component BEC expansion.

Findings

Analytical beating frequency formula derived for two-component BECs

Thomas-Fermi approximation effectively models condensate expansion

Validation of theoretical predictions with experimental or numerical data

Abstract

A unique feature of multi-component BECs is the possibility of beating frequencies in collective oscillations. We analytically determine this beating frequency for the two-component BEC in one-dimension. We also show that the Thomas-Fermi approximation, where the quantum pressure is neglected, describes well the expansion of the two-component condensate released from an harmonic trap.