# Density Wave Superradiance of Photonic Fluid in Frustrated Triangle Lattice Cavity Arrays

## TL;DR

This paper proposes a model where frustration induces crystalline order in photonic fluids within cavity arrays, revealing two density wave superradiant phases and a first-order transition, offering a new route to coherent solid-like phases.

## Contribution

It introduces a Bose Hubbard model with pair creation on frustrated triangle lattices, demonstrating density wave superradiance driven by local and long-range correlation competition.

## Key findings

- Two density wave superradiant phases identified
- First-order transition between the phases observed
- Crystalline order generated without long-range interactions

## Abstract

The spontaneously broken of translational symmetry is usually due to the competition between local interactions and long-range interactions. However, in this paper, we show how a crystalline order can be generated by the competition between local interaction and long-range correlation by frustration. Here we propose a positive hopping Bose Hubbard model on triangle lattices with a pair creation term which comes from frustrated linked cavity arrays with degenerate quantum gases in them. We find by increasing the strength of pair creation term against local interaction strength, two kinds of density wave ordered superradiant photonic fluid phase can be realized and a first order transition between two different density wave ordered states is found. This proposal shows us a new way to produce coherent "solid" phase without the help of long range interactions.