Von Neumann entropy and localization-delocalization transition of electron states in quantum small-world networks

Abstract

The von Neumann entropy for an electron in periodic, disorder and quasiperiodic quantum small-world networks(QSWNs) are studied numerically. For the disorder QSWNs, the derivative of the spectrum averaged von Neumann entropy is maximal at a certain density of shortcut links p*, which can be as a signature of the localization delocalization transition of electron states. The transition point p* is agreement with that obtained by the level statistics method. For the quasiperiodic QSWNs, it is found that there are two regions of the potential parameter. The behaviors of electron states in different regions are similar to that of periodic and disorder QSWNs, respectively.

6 pages, 13figures

References in corpus (10)

• Concentrating Partial Entanglement by Local Operations
• Scaling and percolation in the small-world network model
• Quantum Entanglement in Fermionic Lattices
• Entanglement and quantum phase transition in the extended Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Small-world networks: Evidence for a crossover picture
• Localization transition on complex networks via spectral statistics
• Exact results and scaling properties of small-world networks
• Quantum computing of delocalization in small-world networks
• Localization-Delocalization Transition of Electron States in a Disordered Quantum Small World Network

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• Normal mode analysis of spectra of random networks
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• Entropy of entanglement and multifractal exponents for random states
• von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems
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