Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum

G. Pelegrí, A. M. Marques, R. G. Dias, A. J. Daley, J. Mompart, V. Ahufinger

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We show that bosonic atoms loaded into orbital angular momentum l=1 states of a lattice in a diamond-chain geometry provide a flexible and simple platform for exploring a range of topological effects. This system exhibits robust edge states that persist across the gap-closing points, indicating the absence of a topological transition. We discuss how to perform the topological characterization of the model with a generalization of the Zak's phase and we show that this system constitutes a realization of a square-root topological insulator. Furthermore, the relative phases arising naturally in the tunneling amplitudes lead to the appearance of Aharanov-Bohm caging in the lattice. We discuss how these properties can be realized and observed in ongoing experiments.

Original languageEnglish
Article number023613
Number of pages6
JournalPhysical Review A
Issue number2
Publication statusPublished - 11 Feb 2019


  • bosonic atoms
  • orbital angular momentum
  • topological effects
  • topological characterization

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