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Quantum diffusion of interacting particles in a random potential
Author(s) -
Halfpap O.,
Kawarabayashi T.,
Kramer B.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199811)7:5/6<483::aid-andp483>3.0.co;2-u
Subject(s) - physics , diffusion , delocalized electron , quantum , particle (ecology) , limit (mathematics) , anomalous diffusion , schrödinger equation , quantum mechanics , statistical physics , mathematical analysis , mathematics , knowledge management , oceanography , innovation diffusion , computer science , geology
We simulate the quantum diffusion of n interacting particles in a one dimensional disordered system by solving the time dependent n‐particle Schrödinger equation numerically. The influence of the interaction on the diffusion is studied. The mean extensions of the n ‐particle wave packets ( n ≤ 3) in the asymptotic limit of infinite time are investigated as functions of the disorder and the interaction strength. Our findings are consistent with interaction‐induced delocalization which is considerably enhanced when increasing the number of particles.