Tamm-Hubbard surface states in the continuum

Abstract

In the framework of the Bose-Hubbard model, we show that two-particle surface bound states embedded in the continuum (BIC) can be sustained at the edge of a semi-infinite one-dimensional tight-binding lattice for any infinitesimally-small impurity potential $V$ at the lattice boundary. Such thresholdless surface states, that can be referred to as Tamm-Hubbard BIC states, exist provided that the impurity potential $V$ is attractive (repulsive) and the particle-particle Hubbard interaction $U$ is repulsive (attractive), i.e. for $UV<0$.

4 figures, 10 pages, highlihted in LabTalk: http://iopscience.iop.org/0953-8984/labtalk-article/53536

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• Repulsively bound atom pairs in an optical lattice
• Fractional Bloch oscillations in photonic lattices
• Bound states in the continuum in a single-level Fano-Anderson model
• Bound states in the one-dimensional two-particle Hubbard model with an impurity
• Localized states in the continuum in low-dimensional systems

Cited by in corpus (27)

• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Observation of surface states with algebraic localization
• Imaging through Fano-resonant dielectric metasurface governed by quasi-BIC
• Topological edge states of bound photon pairs
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Photon-mediated localization in two-level qubit arrays
• Floquet bound states in the continuum
• Topological two-body bound states in the interacting Haldane model
• Optical lattices with exceptional points in the continuum
• Interaction-induced topological properties of two bosons in flat-band systems
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Bound state in the continuum by spatially separated ensembles of atoms in a coupled-cavity array
• Interaction-induced topological states of photon pairs
• Edge on-site potential effects in a honeycomb topological magnon insulator
• Quantum chaos driven by long-range waveguide-mediated interactions
• Topological linelike bound states in the continuum
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Bulk and surface bound states in the continuum
• Electric circuit emulation of topological transitions driven by quantum statistics
• Higher-order topological phase of interacting photon pairs
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Exceptional points for photon pairs bound by nonlinear dissipation in cavity arrays
• Edge states of photon pairs in cavity arrays with spatially modulated nonlinearity
• Integrability and weak diffraction in a two-particle Bose-Hubbard model
• Two-particle States in One-dimensional Coupled Bose-Hubbard Models