Operator scrambling, hypersensitivity, and quantum Lyapunov spectrum

ORAL

Abstract

This work presents a model study of the quantum inverted harmonic oscillator (IHO), an archetype example for quantum chaotic systems. It is shown that the IHO exhibits hypersensitivity to perturbations, i.e., the Loschmidt echo decays as a double exponential. A quantum Lyapunov spectrum has been introduced to detect the exponential operator growth in chaotic systems. The IHO is demonstrated to possess a quantum Lyapunov spectrum that is identical to the classical one.

*This research was supported in part by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division, Condensed Matter Theory Program. BY acknowledges partial support from the Center for Nonlinear Studies at LANL.

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Presenters

  • Bin Yan

    • Los Alamos National Laboratory

Authors

  • Bin Yan

    • Los Alamos National Laboratory

  • Nikolai Sinitsyn

    • Los Alamos Natl Lab
    • Los Alamos National Laboratory

  • Wojciech Hubert Zurek

    • Los Alamos National Laboratory