### Abstract

We study the single-particle properties of a system formed by ultracold atoms loaded into the manifold of l=1 orbital angular momentum (OAM) states of an optical lattice with a diamond-chain geometry. Through a series of successive basis rotations, we show that the OAM degree of freedom induces phases in some tunneling amplitudes of the tight-binding model that are equivalent to a net π flux through the plaquettes. These effects give rise to a topologically nontrivial band structure and protected edge states which persist everywhere in the parameter space of the model, indicating the absence of a topological transition. By taking advantage of these analytical mappings, we also show that this system constitutes a realization of a square-root topological insulator. In addition, we demonstrate that quantum interferences between the different tunneling processes involved in the dynamics may lead to Aharanov-Bohm caging in the system. All these analytical results are confirmed by exact diagonalization numerical calculations.

Original language | English |
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Article number | 023612 |

Number of pages | 12 |

Journal | Physical Review A |

Volume | 99 |

Issue number | 2 |

DOIs | |

Publication status | Published - 11 Feb 2019 |

### Keywords

- ingle-particle properties
- ultracold atoms
- orbital angular momentum
- OAM

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## Cite this

*Physical Review A*,

*99*(2), [023612]. https://doi.org/10.1103/PhysRevA.99.023612