Randomness of Eigenstates of Many-Body Quantum Systems
AbstractThe 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
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Sun, L.-Z.; Nie, Q.; Li, H. Randomness of Eigenstates of Many-Body Quantum Systems. Entropy 2019, 21, 227.
Sun L-Z, Nie Q, Li H. Randomness of Eigenstates of Many-Body Quantum Systems. Entropy. 2019; 21(3):227.Chicago/Turabian Style
Sun, Li-Zhen; Nie, Qingmiao; Li, Haibin. 2019. "Randomness of Eigenstates of Many-Body Quantum Systems." Entropy 21, no. 3: 227.
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