Equivalent spin-orbit interaction in two-polariton Jaynes-Cummings-Hubbard model

TL;DR

This paper reveals an equivalence between a two-polariton Jaynes-Cummings-Hubbard model at specific momentum and a spin-1 chain with spin-orbit coupling, uncovering new bound states with long-range correlations.

Contribution

It demonstrates the equivalence of the two-polariton system to a spin-1 chain with spin-orbit interaction at certain momentum, providing a new analytical perspective.

Findings

Center momentum induces magnetic flux in auxiliary space

System at π-momentum is equivalent to a spin-1 chain with spin-orbit coupling

Identifies bound-pair eigenstates with long-range correlations

Abstract

A hybrid quantum system combines two or more distinct quantum components, exhibiting features not seen in these individual systems. In this work, we study the one-dimensional Jaynes-Cummings- Hubbard model in the two-excitation subspace. We find that the center momentum of two-excitation induces a magnetic ux piercing the 4-leg ladder in the auxiliary space. Furthermore, it is shown that the system in {\pi}-center-momentum subspace is equivalent to a chain system for spin-1 particle with spin-orbit coupling. As a simple application, based on this concise description, a series of bound-pair eigenstates is presented, which displays long-range correlation.