Matter sound waves in two-component Bose-Einstein condensates

TL;DR

This paper investigates the creation and propagation of sound waves in two-component Bose-Einstein condensates, introducing a new wave generation method based on rapid changes in inter-species interactions, supported by analytical and numerical validation.

Contribution

It proposes a novel method for generating sound waves in binary BECs through fast inter-species interaction changes, with explicit models and validation.

Findings

Analytical and numerical results show excellent agreement.

The method effectively generates sound waves in different BEC configurations.

Explicit formulas describe the wave dynamics.

Abstract

The creation and propagation of sound waves in two-component Bose-Einstein condensates (BEC) are investigated and a new method of wave generation in binary BEC mixtures is proposed. The method is based on a fast change of the inter-species interaction constant and is illustrated for two experimental settings: a drop-like condensate immersed into a second large repulsive condensate, and a binary mixture of two homogeneous repulsive BEC's. A mathematical model based on the linearized coupled Gross-Pitaevskii equations is developed and explicit formulae for the space and time dependence of sound waves are provided. Comparison of the analytical and numerical results shows excellent agreement, confirming the validity of the proposed approach.