2007/08/20 by Longyan Gong, Peiqing Tong · 1 citation
Physics and Astronomy · #Quantum many-body systems #Theoretical and Computational Physics #Topological Materials and Phenomena #quant-ph
paper · pdf · doi:10.1103/physrevb.76.085121
published as Phys. Rev. B 76, 085121(2007) · 7 pages,13 figures
openalex publication_date 2007/08/20 · arxiv created 2007/10/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
With 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 ⟨Ev⟩ 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 ⟨Ev⟩ 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.