NDLI: A quantum dynamics approach to spectral analysis in small-world complex networks

Content Provider	IEEE Xplore Digital Library
Author	Bin Ye Shuai Xu
Copyright Year	2014
Description	Author affiliation: Sch. of Inf. & Electr. Eng., China Univ. of Min. & Technol., Xuzhou, China (Bin Ye; Shuai Xu)
Abstract	Spectra and eigenstates of the adjacency matrix of a complex network provide many important information about its structure and dynamics. By mapping the adjacency matrix of a small-world network to the Hamiltonian of a quantum system, the statistical properties of the spectra and the localization of eigenstates are analyzed. Theoretical analysis and numerical results show that the spectrum corresponding to small-world networks with small rewiring probabilities have properties consistent with those of quantum integrable systems. When the rewiring probability in small-world networks is higher than a certain threshold, the spectral statistics agree with those of quantum chaotic systems. These findings may lead to further understanding of both complex networks and complex quantum systems.
Starting Page	627
Ending Page	631
File Size	312329
Page Count	5
File Format	PDF
ISBN	9781479937073
e-ISBN	9781479937080
DOI	10.1109/CCDC.2014.6852242
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-31
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Small-World Networks Quantum Dynamical Systems Quantum mechanics Complex networks Probability Spectral Analysis Educational institutions Eigenvalues and eigenfunctions Mathematical model
Content Type	Text
Resource Type	Article

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