Cold-atom regularizations of strongly-coupled four-Fermi field theories in 2+1 dimensions

ORAL

Abstract

In this talk, I will disucss how ultra-cold atoms with synthetic spin-orbit coupling in Raman lattices can be used as versatile quantum simulators of strongly-coupled four-Fermi field theories related to Gross-Neveu-Wilson models in (2+1) dimensions. I will present large-N results that support the appearance of a quantum anomalous Hall (QAH) effect associated to a correlated topological insulator, the boundaries of which are controlled by strongly-coupled fixed points of the four-Fermi relativistic field theory. In the strong coupling limit, this lattice model maps onto a two-dimensional quantum compass model in a transverse field, which can be studied using a variational ansatz based on projected entangled pairs.

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Publication: L. Ziegler, E. Tirrito, M. Lewenstein, S. Hands, A. Bermudez, "Correlated Chern insulators in two-dimensional Raman lattices: a cold-atom regularization of strongly-coupled four-Fermi field theories", https://arxiv.org/abs/2011.08744

Presenters

  • Alejandro Bermudez

    • Spanish Council for Scientific Research

Authors

  • Alejandro Bermudez

    • Spanish Council for Scientific Research

  • Lukas Ziegler

    • Departamento de Fisica Teorica, Universidad Complutense, 28040 Madrid, Spain

  • Emanuele Tirrito

    • International School for Advanced Studies (SISSA), via Bonomea 265, 34136 Trieste, Italy

  • Maciej A Lewenstein

    • ICFO-The Institute of Photonic Sciences

  • Simon J Hands

    • Department of Physics, Faculty of Science and Engineering, Swansea University, Singleton Park, Swansea SA28PP, United Kingdom