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Entropy 2019, 21(3), 227;

Randomness of Eigenstates of Many-Body Quantum Systems

Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China
Author to whom correspondence should be addressed.
Received: 14 December 2018 / Revised: 31 January 2019 / Accepted: 22 February 2019 / Published: 27 February 2019
(This article belongs to the Section Quantum Information)
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The emergence of random eigenstates of quantum many-body systems in integrable-chaos transitions is the underlying mechanism of thermalization for these quantum systems. We use fidelity and modulus fidelity to measure the randomness of eigenstates in quantum many-body systems. Analytic results of modulus fidelity between random vectors are obtained to be a judge for the degree of randomness. Unlike fidelity, which just refers to a kind of criterion of necessity, modulus fidelity can measure the degree of randomness in eigenstates of a one-dimension (1D) hard-core boson system and identifies the integrable-chaos transition in this system. View Full-Text
Keywords: randomness; quantum chaos; modulus fidelity randomness; quantum chaos; modulus fidelity

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Sun, L.-Z.; Nie, Q.; Li, H. Randomness of Eigenstates of Many-Body Quantum Systems. Entropy 2019, 21, 227.

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