SKM 2021 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Focus Session: Facets of Many-Body Quantum Chaos (organised by Markus Heyl and Klaus Richter) (joint session DY/TT)
DY 7.1: Talk
Wednesday, September 29, 2021, 10:00–10:15, H6
Probing many-body quantum chaos with quantum simulators using randomized measurements — Lata K Joshi1,2, •Andreas Elben1,2,3, Amit Vikram4,5, Benoit Vermersch1,2,6, Victor Galitski4, and Peter Zoller1,2 — 1Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria — 2Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria — 3Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USA — 4Joint Quantum Institute, University of Maryland, College Park, MD 20742, USA — 5Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742, USA — 6Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France
Randomized measurements provide a novel toolbox to probe many-body quantum chaos in quantum simulators, utilizing observables such as out-of-time ordered correlators and spectral form factors (SFFs). Here, I will focus on a protocol to access the SFF, characterizing the energy eigenvalue statistics, in quantum spin models. In addition, I will introduce partial spectral form factors (pSFFs) which refer to subsystems of the many-body system and reveal unique insights into energy eigenstate statistics. I will show that our randomized measurement protocol allows to access both, SFF and pSFFs. It provides thus a unified testbed to probe many-body quantum chaotic behavior, thermalization and many-body localization in closed quantum systems.