Scrambling and complexity in phase space

ORAL

Abstract

In this talk, we will describe extensions of the study of scrambling and complexity to infinite-dimensional continuous variable (CV) systems. Unlike their discrete variable (DV) cousins, continuous variable systems exhibit two complementary domains of information scrambling: 1) scrambling in the phase space of a single mode and 2) scrambling across multiple modes. Moreover, for each of these domains, we identify two distinct "types" of scrambling; strict scrambling, where an initial operator localized in phase space spreads out and quasi-scrambling, where a local ensemble of operators distorts but the overall phase space volume remains fixed. To characterize these behaviors, we introduce a CV out-of-time-order correlator (OTOC) based upon displacement operators, which can be experimentally measured. By studying operator spreading and entanglement formation in a random local Gaussian circuit ensemble, we infer the dynamics of generic, chaotic, locally-interacting systems.Our work opens the door to experimentally probing phase space scrambling in CV systems, including cavity QED and quantum optics architectures.

*DOE, NSF, and Govt. of Canada.

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Presenters

  • Quntao Zhuang

    • Physics, University of California, Berkeley
    • Department of Physics, University of California, Berkeley, California 94720, USA
    • University of California, Berkeley

Authors

  • Quntao Zhuang

    • Physics, University of California, Berkeley
    • Department of Physics, University of California, Berkeley, California 94720, USA
    • University of California, Berkeley

  • Thomas Schuster

    • Department of Physics, University of California, Berkeley, California 94720, USA
    • University of California, Berkeley

  • Beni Yoshida

    • Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
    • Perimeter Institute for Theoretical Physics

  • Norman Yao

    • University of California, Berkeley
    • Department of Physics, University of California, Berkeley, California 94720, USA
    • Physics, University of California, Berkeley
    • Department of Physics, University of California, Berkeley
    • University of California, Berkeley and Lawrence Berkeley National Laboratory, Materials Sciences Division