Microscope for Quantum Dynamics with Planck Cell Resolution

• URL: http://arxiv.org/abs/2101.09971v1
• Date: Mon, 25 Jan 2021 09:30:15 GMT
• Title: Microscope for Quantum Dynamics with Planck Cell Resolution
• Authors: Zhenduo Wang, Jiajin Feng, and Biao Wu
• Abstract summary: dependence of this OTOC on the initial state makes it function like a microscope. We find an explicit relation of this OTOC to the spreading of the wave function in the Hilbert space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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