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 π-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.
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