Feynman diagrams versus Feynman quantum emulator

ORAL

Abstract

Precise understanding of strongly interacting fermions, from electrons in modern materials to nuclear matter, presents a major goal in modern physics. However, the theoretical description of interacting Fermi systems is usually plagued by the intricate quantum statistics at play. Here we present a cross-validation between a new theoretical approach, Bold Diagrammatic Monte Carlo (BDMC), and precision experiments on ultra-cold atoms. Specifically, we compute and measure with unprecedented accuracy the normal-state equation of state of the unitary gas, a prototypical example of a strongly correlated fermionic system. Excellent agreement demonstrates that a series of Feynman diagrams can be controllably resummed in a non-perturbative regime using BDMC. This opens the door to the solution of some of the most challenging problems across many areas of physics.

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Authors

  • Kris Van Houcke

    • Ghent University

  • F\'elix Werner

    • Laboratoire Kastler Brossel, Ecole Normale Sup\'erieure

  • Evgeny Kozik

    • ETH, Z\"urich

  • Nikolay V. Prokof'ev

    • University of Massachusetts, Amherst
    • University of Massachusetts

  • Boris Svistunov

    • University of Massachusetts, Amherst

  • Mark Ku

    • Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA
    • Massachusetts Institute of Technology

  • Ariel Sommer

    • Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA
    • Massachusetts Institute of Technology

  • Lawrence Cheuk

    • Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA
    • Massachusetts Institute of Technology

  • Andr\'e Schirotzek

    • Advanced Light Source, Lawrence Berkeley National Laboratory

  • Martin Zwierlein

    • Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA
    • Massachusetts Institute of Technology