2005/10/26 by Huijie Yang, Fangcui Zhao, Yang, Huijie +6
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum optics and atomic interactions #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0510681
5pages, 9figures, submitted to PRE
arxiv created 2005/10/26 · openalex publication_date 2005/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Structure-induced features of the wave functions for the quantum systems on complex networks are discussed in this paper. For a quantum system on a network, the state corresponding to the eigenvalue close to the center of the spectrum is used as the representative state to display the impacts of the structure on the wave functions. We consider the Erdos-Renyi, the WS small world and the growing randomly network (GRN) models. It is found that the probability distribution functions (PDF) of the representative state's components can be described with a power-law with an exponential cutoff in a unified way. For Erdos-Renyi networks, with the increase of the connectivity probability pER the PDF turns from power-law-dominated to exponential-dominated functions. For the WS networks in a special region of the rewiring probability pr ∈ (0,0.2), where this model can capture the features of real world networks, and the GRN networks, the PDFs obey almost a perfect power-law. These characteristics can be used as the structure measurements of complex networks. They can also provide useful information on dynamical processes on complex networks.