Microscope for Quantum Dynamics with Planck Cell Resolution

We introduce the out-of-time-correlation(OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond the thermal state. We find an explicit relation of this OTOC...

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Bibliographic Details
Published inarXiv.org
Main Authors Wang, Zhenduo, Feng, Jiajin, Wu, Biao
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.01.2021
Subjects
Dependence
Dynamic structural analysis
Fine structure
Hilbert space
Liapunov exponents
Quantum theory
Time correlation functions
Wave functions
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Summary:We introduce the out-of-time-correlation(OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond the thermal state. We find an explicit relation of this OTOC to the spreading of the wave function in the Hilbert space, unifying two branches of the study of quantum chaos: state evolution and operator dynamics. By analyzing it in the vicinity of the classical limit, we clarify the dependence of the OTOC's exponential growth on the classical Lyapunov exponent.
ISSN:2331-8422