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  • Letter
  • Open Access

Revealing the topological nature of the bond order wave in a strongly correlated quantum system

Sergi Julià-Farré1,*, Daniel González-Cuadra1,2,3, Alexander Patscheider4, Manfred J. Mark3,4, Francesca Ferlaino3,4, Maciej Lewenstein1,5, Luca Barbiero6,1, and Alexandre Dauphin1,†

  • 1ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain
  • 2Center for Quantum Physics, University of Innsbruck, 6020 Innsbruck, Austria
  • 3Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21a, 6020 Innsbruck, Austria
  • 4Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria
  • 5ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain
  • 6Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino, I-10129 Torino, Italy

  • *sergi.julia@icfo.eu
  • †alexandre.dauphin@icfo.eu
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Phys. Rev. Research 4, L032005 – Published 8 July, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032005

Abstract

We investigate the topological properties of the bond order wave phase arising in the extended Fermi-Hubbard model. In particular, we uncover a topological sector, which remained elusive in previous finite-size numerical studies due to boundary effects. We first show that, for an infinite system, the bond order wave regime is characterized by two degenerate bulk states corresponding to the trivial and topological sectors. The latter turns out to be indeed characterized by an even degeneracy of the entanglement spectrum and long-range order of a string correlation function. For finite-size systems, we show that the topological sector can be stabilized by imposing a suitable border potential. This therefore provides a concrete protocol for the observation of topologically protected degenerate edge modes in finite-size systems. Furthermore, we show that the bulk of the system is characterized by exotic solitonic solutions interpolating between the trivial and topological sectors. Finally, we propose an implementation and detection scheme of this strongly correlated topological phase in a quantum simulator based on dipolar Fermi gases in optical lattices.

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Phys. Rev. Research 4, L032005– Published 8 July, 2022
  • Received 13 January 2022
  • Revised 19 April 2022
  • Accepted 14 June 2022
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