# Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential

## TL;DR

This study numerically investigates vortex dynamics in two-component Bose-Einstein condensates in a 2D box, revealing a novel vortex phase separation phenomenon driven by inter-component interactions.

## Contribution

It introduces the concept of vortex phase separation in two-component BECs and analyzes the transition between vortex states based on inter-component coupling strength.

## Key findings

- Vortices can spatially separate into distinct regions when inter-component coupling is strong.
- Weak coupling leads to the formation of Onsager vortices in both components.
- The transition between vortex states depends on the inter-component interaction strength.

## Abstract

The dynamics of quantized vortices in two-dimensional two-component miscible Bose-Einstein condensates (BECs) trapped by a box potential has been numerically studied using the Gross{ Pitaevskii model. We have discovered a novel phenomenon where the vortices of the two components spatially separate from each other, which we call the phase separation of the distribution of vortices. This phase separation occurs when the inter-component coupling is strong. Onsager vortices, on the other hand, are formed in both components when the inter-component coupling is weak. We distinguish between Onsager vortices and phase-separated vortices by two types of effective distances between vortices. The dependence of the transition between the Onsager vortices and phase-separated vortices on the inter-component interaction is also studied.