Random Lindblad Dynamics

ORAL

Abstract

The Lindblad superoperator is the generator of time translation for the quantum Markov master equation. We ask the question: what dynamics follow from a random Lindblad generator? To answer this, we define an ensemble of Lindblad superoperators using random matrix theory, and study the statistical properties its eigenvalues. In particular, we characterize the spectral gap (a.k.a. dissipative gap) which determines the asymptotic decay rate of typical operators in the Hilbert space. We find that the spectral gap is finite in the limit of infinite Hilbert space dimension, and described by a universal non-monotonic scaling function of the dissipative coupling constant.

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Presenters

  • Tankut Can

    Initiative for the Theoretical Sciences, CUNY Graduate Center, ITS, CUNY Graduate Center

Authors

  • Tankut Can

    Initiative for the Theoretical Sciences, CUNY Graduate Center, ITS, CUNY Graduate Center

  • Sarang Gopalakrishnan

    CUNY College of Staten Island, and CUNY Graduate Center, Physics, CUNY College of Staten Island, Physics and Astronomy, CSI and GC, CUNY, CUNY College of Staten Island; The Graduate Center, CUNY, Department of Physics and Astronomy, CUNY College of Staten Island, Physics, CUNY, College of Staten Island, City University of New York, Physics, The Graduate Center, CUNY

  • Vadim Oganesyan

    Physics, CUNY College of Staten Island

  • Dror Orgad

    Racah Institute of Physics, The Hebrew University of Jerusalem