Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
arXiv:1702.02045 · doi:10.1103/PhysRevA.95.033831
Abstract
We study theoretically two-photon states in a periodic array of coupled cavities with both on-site and nonlocal Kerr-type nonlinearities. In the absence of nonlinearity the structure is topologically trivial and possesses no edge states. The interplay of two nonlinear interaction mechanisms described by the extended Hubbard model facilitates formation of edge states of bound photon pairs. Numerical and exact analytical results for the two-photon wave functions are presented. Our findings thus shed light onto the edge states of composite particles and their localization properties.
7 pages, 6 figures
References in corpus (13)
- Topological Photonics
- Repulsively bound atom pairs in an optical lattice
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Non-standard Hubbard models in optical lattices: a review
- Two-particle states in the Hubbard model
- Two-body physics in the Su-Schrieffer-Heeger model
- Topological pumping of photons in nonlinear resonator arrays
- Scattering resonances and two-particle bound states of the extended Hubbard model
- Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
- Edge-localized states in quantum one-dimensional lattices
- Bound states in the one-dimensional two-particle Hubbard model with an impurity
- Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
- Boundary effects on quantum q-breathers in a Bose-Hubbard chain