Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices

TL;DR

This paper investigates the extended Jaynes-Cummings-Hubbard model on triangular lattices, revealing various solid phases and evidence for light supersolids with strong pair correlations, using advanced numerical methods.

Contribution

It provides the first evidence of light supersolids in the extended Jaynes-Cummings-Hubbard model on triangular lattices and zigzag ladders, highlighting the role of atom-photon interactions.

Findings

Identification of various solid density patterns

Evidence for light supersolids in extended regions

Strong pair correlations in supersolid phase

Abstract

We study the extended Jaynes-Cummings-Hubbard model on triangular cavity lattices and zigzag ladders. By using density-matrix renormalization group methods, we observe various types of solids with different density patterns and find evidence for light supersolids, which exist in extended regions of the phase diagram of the zigzag ladder. Furthermore, we observe strong pair correlations in the supersolid phase due to the interplay between the atoms in the cavities and atom-photon interaction. By means of cluster mean-field simulations and a scaling of the cluster size extending our analysis to two-dimensional triangular lattices, we present evidence for the emergence of a light supersolid in this case also.