Isospin Correlations in two-partite Hexagonal Optical Lattices

TL;DR

This paper investigates the phases of two-component mixtures in hexagonal optical lattices using exact diagonalization, revealing magnetic, superfluid, and supersolid phases through correlation functions.

Contribution

It introduces a detailed correlation analysis method to characterize phases in two-component optical lattices, including the identification of supersolid states.

Findings

Identification of easy-axis and easy-plane magnetic correlations.

Discovery of correlated supersolid phases within the superfluid regime.

Correlation functions reveal highly-entangled states and phase segregation.

Abstract

Two-component mixtures in optical lattices reveal a rich variety of different phases. We employ an exact diagonalization method to obtain the relevant correlation functions in hexagonal optical lattices to characterize those phases. We relate the occupation difference of the two species to the magnetic polarization. `Iso'-magnetic correlations disclose the nature of the system, which can be of easy-axis type, bearing phase segregation, or of easy-plane type, corresponding to super-counter-fluidity. In the latter case, the correlations reveal easy-plane segregation, involving a highly-entangled state. We identify striking correlated supersolid phases appearing within the superfluid limit.