Experimental realization of the symmetry-protected Haldane phase in Fermi-Hubbard ladders

POSTER

Abstract

The Haldane antiferromagnetic spin-1 chain constitutes a paradigmatic model of a quantum system which holds a symmetry protected topological phase. Here, we experimentally realize the Haldane phase using Fermi-Hubbard ladders in an ultracold quantum gas microscope. Site-resolved potential shaping allows us to create tailored spin-1/2 geometries which permit the exploration of such a topological chain and its comparison to a trivial configuration. We use spin- and density-resolved measurements to probe edge and bulk properties of the system, revealing a clear dinstinction between the trivial and topological cases. The measurement of a non-local string order parameter, in particular, allows to directly capture the underlying protecting symmetry of the topological phase. We furthermore investigate the robustness of the topological phase upon the onset of density fluctuations by tuning the Hubbard interaction.

Presenters

  • Thomas Chalopin

    • Max Planck Institute of Quantum Optics

Authors

  • Thomas Chalopin

    • Max Planck Institute of Quantum Optics

  • Pimonpan Sompet

    • Max Planck Institute of Quantum Optics
    • Max Planck Institute for Quantum Optics

  • Sarah Hirthe

    • Max Planck Institute of Quantum Optics

  • Dominik Bourgund

    • Max Planck Institute of Quantum Optics

  • Joannis Koepsell

    • Max Planck Institute of Quantum Optics
    • Max Planck Institute for Quantum Optics

  • Petar Bojović

    • Max Planck Institute of Quantum Optics

  • Guillaume Salomon

    • University of Hamburg

  • Julian Bibo

    • TU Munich

  • Ruben Verresen

    • Harvard University

  • Frank Pollmann

    • TU Munich
    • TU Munich, Munich Center for Quantum Science and Technology (MCQST)

  • Timon Hilker

    • Max Planck Institute of Quantum Optics
    • Univ of Cambridge

  • Christian Gross

    • Eberhard Karls University of Tübingen
    • Eberhard Karls Universität Tübingen
    • University of Tübingen

  • Immanuel F Bloch

    • Max Planck Institute for Quantum Optics
    • Max Planck Institute of Quantum Optics
    • Max-Planck Institute for Quantum Optics (MPQ)
    • Ludwig-Maximilians-University Munich
    • Max Planck Institute for Plasma Physics
    • Ludwig-Maximilians-Universitaet (LMU-Munich), Max-Planck Institut für Quantenoptik, Munich Center for Quantum Science and Technology (MCQST)