2003/05/15 by Marko Turek, M. Turek, W. John
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1016/s1386-9477(03)00267-4
18 pages, 6 figures
arxiv created 2003/05/15 · openalex publication_date 2003/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the localization length of a pair of two attractively bound particles moving in a one-dimensional random potential. We show in which way it depends on the interaction potential between the constituents of this composite particle. For a pair with many bound states N the localization length is proportional to N, independently of the form of the two particle interaction. For the case of two bound states we present an exact solution for the corresponding Fokker-Planck equation and demonstrate that the localization length depends sensitively on the shape of the interaction potential and the symmetry of the bound state wave functions.