Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.

LanguageEnglish
Article number023612
Number of pages12
JournalPhysical Review A
Volume99
Issue number2
DOIs
Publication statusPublished - 11 Feb 2019

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angular momentum
diamonds
orbitals
atoms
degrees of freedom
insulators
interference
geometry

Keywords

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

Cite this

Pelegrí, G. ; Marques, A. M. ; Dias, R. G. ; Daley, A. J. ; Ahufinger, V. ; Mompart, J. / Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain. In: Physical Review A. 2019 ; Vol. 99, No. 2.
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Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain. / Pelegrí, G.; Marques, A. M.; Dias, R. G.; Daley, A. J.; Ahufinger, V.; Mompart, J.

In: Physical Review A, Vol. 99, No. 2, 023612, 11.02.2019.

Research output: Contribution to journalArticle

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