Topological Quantum Critical Points in the Extended Bose-Hubbard Model

Joana Fraxanet, Daniel González-Cuadra, Tilman Pfau, Maciej Lewenstein, Tim Langen, and Luca Barbiero
Phys. Rev. Lett. 128, 043402 – Published 27 January 2022
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Abstract

The combination of topology and quantum criticality can give rise to an exotic mix of counterintuitive effects. Here, we show that unexpected topological properties take place in a paradigmatic strongly correlated Hamiltonian: the 1D extended Bose-Hubbard model. In particular, we reveal the presence of two distinct topological quantum critical points with localized edge states and gapless bulk excitations. Our results show that the topological critical points separate two phases, one topologically protected and the other topologically trivial, both characterized by a long-range ordered string correlation function. The long-range order persists also at the topological critical points and explains the presence of localized edge states protected by a finite charge gap. Finally, we introduce a superresolution quantum gas microscopy scheme for dipolar dysprosium atoms, which provides a reliable route towards the experimental study of topological quantum critical points.

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  • Received 6 July 2021
  • Accepted 3 January 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.043402

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Joana Fraxanet1,*, Daniel González-Cuadra1,2,3, Tilman Pfau4, Maciej Lewenstein1,5, Tim Langen4, and Luca Barbiero1,6,†

  • 1ICFO—Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
  • 2Center for Quantum Physics, University of Innsbruck, 6020 Innsbruck, Austria
  • 3Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria
  • 45. Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
  • 5ICREA, Passeig Lluis Companys 23, ES-08010 Barcelona, Spain
  • 6Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino, I-10129 Torino, Italy

  • *joana.fraxanet@icfo.eu
  • luca.barbiero@polito.it

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Issue

Vol. 128, Iss. 4 — 28 January 2022

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