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Probing Many-Body Quantum Chaos on a Trapped Ion Quantum Simulator

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Abstract

It is challenging to identify characteristics of chaos in a quantum system. The spectral form factor (SFF) and its generalization, the partial spectral form factor (PSFF), provide information about the statistics of energy eigenvalues and eigenstates of a many-body quantum system. Recent work\footnote{L. K. Joshi \textit{et al.}, PRX \textbf{12}, 011018 (2022).} has developed an experimentally feasible protocol to measure the SFF and PSFF in quantum spin systems. This scheme enables the direct testing of universal random matrix theory and eigenstate thermalization hypothesis predictions of quantum chaotic systems. We present the implementation of this protocol on our trapped ion quantum simulator employing the use of local random rotations and measurements.

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Presenters

  • Kate S Collins

    JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, JQI, Department of Physics, University of Maryland, College Park, MD, Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742

Authors

  • Kate S Collins

    JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, JQI, Department of Physics, University of Maryland, College Park, MD, Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742

  • Arinjoy De

    JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, JQI, Department of Physics, University of Maryland, College Park, MD, Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742

  • William N Morong

    JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, JQI, Department of Physics, University of Maryland, College Park, MD, Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742

  • Lata Kh Joshi

    Center for Quantum Physics, University of Innsbruck and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences Innsbruck A-6020, Austria

  • Andreas Elben

    Center for Quantum Physics, University of Innsbruck and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences Innsbruck A-6020, Austria

  • Amit Vikram

    University of Maryland, College Park, MD 20742

  • Benoît Vermersch

    Center for Quantum Physics, University of Innsbruck & Institute for Quantum Optics and Quantum Info. of the Austrian Academy of Sciences; Université Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France

  • Victor M Galitski

    JQI, CMTC, Dept. of Physics, University of Maryland, College Park, MD 20742

  • Peter Zoller

    Univ of Innsbruck, Center for Quantum Physics, University of Innsbruck and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences Innsbruck A-6020, Austria

  • Christopher R Monroe

    JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham NC 27701; IonQ, JQI/QuICS/UMD Physics, DQC/Duke ECE, IonQ, JQI, University of Maryland, College Park, JQI and QuICS and Department of Physics, University of Maryland, College Park; Duke Quantum Center and Department of Physics (and ECE), Duke University; IonQ, JQI, QuICS, Dept. of Physics, University of Maryland, College Park, MD 20742; DQC, Dept. of ECE and Physics, Duke University, Durham, NC 27701; IonQ Inc., College Park, MD 20742