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Published on: June 8, 2018
Randomness of Eigenstates of Many-Body Quantum Systems
Li-Zhen Sun1, Qingmiao Nie1, Haibin Li1
1Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China.
Abstract:
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.
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