2008/01/31 by X. P. Xu, Xinping Xu, Feng Liu
Mathematics · Physics and Astronomy · #Asymmetry #Combinatorics #Computer science #Enhanced Data Rates for GSM Evolution #Limit (mathematics) #Mathematical analysis #Mathematics #Node (physics) #Opinion Dynamics and Social Influence #Phase (matter) #Phase space #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Space (punctuation) #Statistical physics #Telecommunications #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.77.062318
published as Phys. Rev. A 77, 062318 (2008) · Syntax corrected and more discussion added. Accepted for publication in Phys. ReV. A
arxiv created 2008/04/18 · openalex publication_date 2008/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we consider the quantum-mechanical phase space patterns on ordered and disordered networks. For ordered networks in which each node is connected to its 2m nearest neighbors (m on either side), the phase space quasiprobability of Wigner function shows various patterns. In the long time limit, on even-numbered networks, we find an asymmetric quasiprobability between the node and its opposite node. This asymmetry depends on the network parameters and specific phase space positions. For disordered networks in which each edge is rewired with probability p>0, the phase space displays regional localization on the initial node.