title: Equivalent spin-orbit interaction in the two-polariton Jaynes-Cummings-Hubbard model.
abstract: A cavity quantum electrodynamics (cavity-QED) system combines two or more distinct quantum components, exhibiting features not seen in the individual systems. In this work, we study the one-dimensional Jaynes-Cummings-Hubbard model in the two-excitation (two-polariton) subspace. We find that the centre momentum of two-excitation induces a magnetic flux piercing the equivalent Hamiltonian Hk in the invariant subspace with momentum k, which can be described as a 4-leg ladder in the auxiliary space. Furthermore, it is shown that the system in π-centre-momentum subspace is equivalent to a lattice system for spin-1 particle with spin-orbit coupling. On the basis of this concise description, a series of bound-pair eigenstates which display long-range polaritonic entanglement is presented as a simple application.
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: C
authors.initials: C
authors.lastname: Li
authors.affiliation: College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China.
authors.forename: X Z
authors.initials: XZ
authors.lastname: Zhang
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: Z
authors.initials: Z
authors.lastname: Song