von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems

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dc.creatorGong, Longyan
dc.creatorTong, Peiqing
dc.date2007-10-13
dc.date.accessioned2026-07-07T08:36:13Z
dc.date.available2026-07-07T08:36:13Z
dc.descriptionWith the help of von Neumann entropy, we study numerically the localization properties of two interacting particles (TIP) with on-site interactions in one-dimensional disordered, quasiperiodic, and slowly varying potential systems, respectively. We find that for TIP in disordered and slowly varying potential systems, the spectrum-averaged von Neumann entropy <E_v> first increases with interaction U until its peak, then decreases as U gets larger. For TIP in the Harper model[S. N. Evangelou and D. E. Katsanos, Phys. Rev. B 56, 12797(1997)], the functions of <E_v> versus U are different for particles in extended and localized regimes. Our numerical results indicate that for these two-particle systems, the von Neumann entropy is a suitable quantity to characterize the localization properties of particle states. Moreover, our studies propose a consistent interpretation of the discrepancies between previous numerical results.
dc.description7 pages,13 figures
dc.identifierhttps://arxiv.org/abs/0710.2592
dc.identifierhttp://arxiv.org/abs/0710.2592
dc.identifierPhys. Rev. B 76, 085121(2007)
dc.identifierdoi:10.1103/PhysRevB.76.085121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139992
dc.subjectQuantum Physics
dc.titlevon Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems
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