Doublons, topology and interactions in a one-dimensional lattice

Abstract

We investigate theoretically the Bose-Hubbard version of the celebrated Su-Schrieffer-Heeger topological model, which essentially describes a one-dimensional dimerized array of coupled oscillators with on-site interactions. We study the physics arising from the whole gamut of possible dimerizations of the chain, including both the weakly and the strongly dimerized limiting cases. Focusing on two-excitation subspace, we systematically uncover and characterize the different types of states which may emerge due to the competition between the inter-oscillator couplings, the intrinsic topology of the lattice, and the strength of the on-site interactions. In particular, we discuss the formation of scattering bands full of extended states, bound bands full of two-particle pairs (including so-called `doublons', when the pair occupies the same lattice site), and different flavors of topological edge states. The features we describe may be realized in a plethora of systems, including nanoscale architectures such as photonic cavities and optical lattices, and provide perspectives for topological many-body physics.

arXiv comment9 pages, 5 figures

References in corpus (47)

• Unpaired Majorana fermions in quantum wires
• Topological Photonics
• Topological Photonics
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Repulsively bound atom pairs in an optical lattice
• Nonlinear topological photonics
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Spectral signatures of many-body localization with interacting photons
• Strongly Correlated Quantum Walks in Optical Lattices
• A Dissipatively Stabilized Mott Insulator of Photons
• A topological source of quantum light
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Two-particle states in the Hubbard model
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Two-body physics in the Su-Schrieffer-Heeger model
• Ultracold bosons with short-range interaction in regular optical lattices
• Topological edge states of bound photon pairs
• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Scattering resonances and two-particle bound states of the extended Hubbard model
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Topological phases of polaritons in a cavity waveguide
• Topological plasmons in dimerized chains of nanoparticles: robustness against long-range quasistatic interactions and retardation effects
• Topological two-body bound states in the interacting Haldane model
• 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
• Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Topological states in arrays of optical waveguides engineered via mode interference
• Two-body bound and edge states in the extended SSH Bose-Hubbard model
• Radiative topological biphoton states in modulated qubit arrays
• Interaction-induced topological states of photon pairs
• Stationary discrete solitons in circuit QED
• Polaritonic Tamm states induced by cavity photons
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Quantum many-body simulation using monolayer exciton-polaritons in coupled-cavities
• Exceptional points for photon pairs bound by nonlinear dissipation in cavity arrays
• The Bose Hubbard model with squeezed dissipation
• Topological states in qubit arrays induced by density-dependent coupling

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• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Steering edge currents through a Floquet topological insulator
• Topological two-particle dynamics in a periodically driven lattice model with on-site interactions
• Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Third quantization with Hartree approximation for open-system bosonic transport