# Dynamics of a two-species Bose-Einstein condensate in a double well

## TL;DR

This paper explores the complex dynamics of a two-species Bose-Einstein condensate in a double well, focusing on interactions, tunneling, and population transfer, with numerical results revealing collapses and revivals in population behavior.

## Contribution

It provides a detailed analysis of the dynamics considering both intraspecies and interspecies interactions, including numerical simulations of collapse and revival phenomena.

## Key findings

- Collapse and revival phenomena observed in population dynamics
- Weak interspecies scattering leads to distinctive dynamical regimes
- Numerical results support theoretical predictions

## Abstract

We study the dynamics of a two-species Bose-Einstein condensate in a double well. Such a system is characterized by the intraspecies and interspecies s-wave scattering as well as the Josephson tunneling between the two wells and the population transfer between the two species. We investigate the dynamics for some interesting regimes and present numerical results to support our conclusions. In the case of vanishing intraspecies scattering lengths and a weak interspecies scattering length, we find collapses and revivals in the population dynamics. A possible experimental implementation of our proposal is briefly discussed.