# Spatial Phase Separation of a Binary Mixture in a Ring Trimer

## TL;DR

This paper explores the phase separation phenomena in a binary bosonic mixture confined in a ring trimer, combining semiclassical and quantum analyses to reveal critical behavior, entanglement, and persistent demixing in dynamical regimes.

## Contribution

It introduces a comprehensive study of phase separation in a ring trimer, including quantum indicators and dynamical evolution, extending beyond ground state analysis.

## Key findings

- Critical phenomena in phase separation are identified.
- Quantum indicators corroborate semiclassical predictions.
- Persistent demixing occurs in chaotic dynamical regimes.

## Abstract

We investigate the phase separation mechanism of bosonic binary mixtures in spatially-fragmented traps, evidencing the emergence of phases featuring a different degree of mixing. The analysis is initially carried out by means of a semiclassical approach which transparently shows the occurrence of critical phenomena. These predictions are actually corroborated by the study of genuinely quantum indicators, including, but not limited to, the energy levels' structure and the entanglement between the species. The scope of our work goes also beyond the ground state's properties, as it comprises excited states and the dynamical evolution thereof. In particular, after introducing an indicator to monitor the degree of mixing, we show that several dynamical regimes feature persistent demixing in spite of their remarkably chaotic character.