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 dimer...

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Autores principales:	P. Martínez Azcona, C. A. Downing
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/208aac05f9d5491fba526957997f02f6
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spelling	oai:doaj.org-article:208aac05f9d5491fba526957997f02f62021-12-02T17:24:09ZDoublons, topology and interactions in a one-dimensional lattice10.1038/s41598-021-91778-z2045-2322https://doaj.org/article/208aac05f9d5491fba526957997f02f62021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91778-zhttps://doaj.org/toc/2045-2322Abstract 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.P. Martínez AzconaC. A. DowningNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q P. Martínez Azcona C. A. Downing Doublons, topology and interactions in a one-dimensional lattice
description	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.
format	article
author	P. Martínez Azcona C. A. Downing
author_facet	P. Martínez Azcona C. A. Downing
author_sort	P. Martínez Azcona
title	Doublons, topology and interactions in a one-dimensional lattice
title_short	Doublons, topology and interactions in a one-dimensional lattice
title_full	Doublons, topology and interactions in a one-dimensional lattice
title_fullStr	Doublons, topology and interactions in a one-dimensional lattice
title_full_unstemmed	Doublons, topology and interactions in a one-dimensional lattice
title_sort	doublons, topology and interactions in a one-dimensional lattice
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/208aac05f9d5491fba526957997f02f6
work_keys_str_mv	AT pmartinezazcona doublonstopologyandinteractionsinaonedimensionallattice AT cadowning doublonstopologyandinteractionsinaonedimensionallattice
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Doublons, topology and interactions in a one-dimensional lattice

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