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.
arXiv comment7 pages, 6 figures
References in corpus (26)
- 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
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Self-induced topological transitions and edge states supported by nonlinear staggered potentials
- Photon solid phases in driven arrays of nonlinearly coupled cavities
- Coherent generation of nonclassical light on chip via detuned photon blockade
- Two-particle states in the Hubbard model
- Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
- Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
- Two-body physics in the Su-Schrieffer-Heeger model
- Topological edge states of bound photon pairs
- Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
- 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
- Tamm-Hubbard surface states in the continuum
- Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
- Two-body bound and edge states in the extended SSH Bose-Hubbard model
- Bound states in the one-dimensional two-particle Hubbard model with an impurity
- Spontaneous polariton currents in periodic lateral chains
- 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
- Momentum-dependent pseudo-spin dimers of coherently coupled bosons in optical lattices
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- Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
- Interaction-induced topological properties of two bosons in flat-band systems
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- Topological bound states in interacting Su-Schrieffer-Heeger rings
- Two-body bound and edge states in the extended SSH Bose-Hubbard model
- Biphoton entanglement of topologically-distinct modes
- Radiative topological biphoton states in modulated qubit arrays
- Interaction-induced topological states of photon pairs
- Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
- Topological Hybrids of Magnons and Magnon Bound Pairs
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- Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
- Higher-order topological phase of interacting photon pairs
- Exceptional points for photon pairs bound by nonlinear dissipation in cavity arrays
- Effects of Peierls phases in open linear chains
- Edge states of photon pairs in cavity arrays with spatially modulated nonlinearity
- Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
- Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
- Topological bound states in a lattice of rings with nearest-neighbour interactions
- Topological Edge Solitons in Polaritonic Lattice