# Dynamics of phase separation in two species Bose-Einstein condensates with vortices

## TL;DR

This paper investigates how vortices influence the phase separation dynamics in two-species Bose-Einstein condensates, revealing that vortices can both enhance and suppress phase separation depending on their location and charge.

## Contribution

It provides a detailed analysis of vortex effects on phase transition dynamics in TBECs using the Gross-Pitaevskii equation, including higher charged vortices.

## Key findings

- Vortices generally enhance phase separation in TBECs.
- The position of vortices affects whether phase separation is enhanced or suppressed.
- Higher charged vortices also influence the phase transition dynamics.

## Abstract

We examine the dynamics associated with the miscibility-immiscibility transition of trapped two-component Bose-Einstein condensates (TBECs) of dilute atomic gases in presence of vortices. In particular, we consider TBECs of Rb hyperfine states, and Rb-Cs mixture. There is an enhancement of the phase-separation when the vortex is present in both condensates. In the case of a singly charged vortex in only one of the condensates, there is enhancement when the vortex is present in the species which occupy the edges at phase-separation. But, suppression occurs when the vortex is in the species which occupies the core region. To examine the role of the vortex, we quench the inter-species interactions to propel the TBEC from miscible to immiscible phase, and use the time dependent Gross-Pitaevskii equation to probe the phenomenon of phase-separation. We also examine the effect of higher charged vortex.