Many-body Aharonov-Bohm caging in a lattice of rings

Eulàlia Nicolau, Anselmo M. Marques, Ricardo G. Dias, Jordi Mompart, and Verònica Ahufinger
Phys. Rev. A 107, 023305 – Published 3 February 2023

Abstract

We study a system of a few ultracold bosons loaded into states with orbital angular momentum l=1 of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers +l and l form a Creutz ladder with a real dimension and a synthetic one. States with opposite winding numbers in adjacent rings are coupled through complex tunnelings, which can be tuned by modifying the central angle ϕ of the lattice. We analyze both the single-particle case and the few boson bound-state subspaces for the regime of strong interactions using perturbation theory, showing how the geometry of the system can be engineered to produce an effective π flux through the plaquettes. We find nontrivial topological band structures and many-body Aharonov-Bohm caging in the N-particle subspaces even in the presence of a dispersive single-particle spectrum. Additionally, we study the family of models where the angle ϕ is introduced at an arbitrary lattice periodicity Γ. For Γ>2, the π flux becomes nonuniform, which enlarges the spatial extent of the Aharonov-Bohm caging as the number of flat bands in the spectrum increases. All the analytical results are benchmarked through exact diagonalization.

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  • Received 20 September 2022
  • Accepted 22 December 2022

DOI:https://doi.org/10.1103/PhysRevA.107.023305

©2023 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Eulàlia Nicolau1, Anselmo M. Marques2, Ricardo G. Dias2, Jordi Mompart1, and Verònica Ahufinger1

  • 1Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
  • 2Department of Physics and i3N, University of Aveiro, 3810-193 Aveiro, Portugal

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Issue

Vol. 107, Iss. 2 — February 2023

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