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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, optical lattices and qubits, and provide perspectives for topological two-particle and many-body physics.

SUBMITTER: Azcona PM

PROVIDER: S-EPMC8206211 | biostudies-literature | 2021 Jun

REPOSITORIES: biostudies-literature

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Doublons, topology and interactions in a one-dimensional lattice.

Azcona P Martínez PM Downing C A CA

Scientific reports 20210615 1

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 m ...[more]

PMID: 34131200

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Doublons, topology and interactions in a one-dimensional lattice.

Publications

Doublons, topology and interactions in a one-dimensional lattice.

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