Size of quantum networks.
- Bianconi G Département de Physique Théorique, Université de Fribourg Pérolles, CH-1700 Fribourg, Switzerland.
- 2003-06-06
Published in:
- Physical review. E, Statistical, nonlinear, and soft matter physics. - 2003
English
The metric structure of bosonic scale-free networks and fermionic Cayley-tree networks is analyzed, focusing on the directed distance of nodes from the origin. The topology of the networks strongly depends on the dynamical parameter T, called the temperature. At T= infinity we show analytically that the two networks have a similar behavior: the distance of a generic node from the origin of the network scales as the logarithm of the number of nodes in the network. At T=0 the two networks have an opposite behavior: the bosonic network remains very clusterized (the distance from the origin remains constant as the network increases the number of nodes), while the fermionic network grows following a single branch of the tree, and the distance from the origin varies as a power law of the number of nodes in the network.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevE.67.056119
- PMID 12786232
- Persistent URL
- https://sonar.ch/global/documents/123772
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