Scaling Invariance in Wave Functions of Quantum Systems on Complex Networks

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dc.creatorYang, Huijie
dc.creatorZhao, Fangcui
dc.creatorWang, Yunpeng
dc.creatorWang, Binghong
dc.date2005-10-26
dc.date.accessioned2026-07-07T06:45:31Z
dc.date.available2026-07-07T06:45:31Z
dc.descriptionStructure-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 $p_{ER} $ the PDF turns from power-law-dominated to exponential-dominated functions. For the WS networks in a special region of the rewiring probability $p_r \in (0,0.2)$, 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.
dc.description5pages, 9figures, submitted to PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0510681
dc.identifierhttp://arxiv.org/abs/cond-mat/0510681
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103065
dc.subjectDisordered Systems and Neural Networks
dc.titleScaling Invariance in Wave Functions of Quantum Systems on Complex Networks
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