Spread of wave packets in disordered hierarchical lattices

We consider the spreading of a wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of the non-ergodic extended states . We show that although non-trivial fractal dimensions characterize wave function statistics in this region, the wave packet spreading is governed b...

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Bibliographic Details
Published in:Europhysics letters 2017-02, Vol.117 (3), p.30003-30003
Main Author: Amini, M.
Format: Article
Language:English
Subjects:
05.60.Gg
64.60.al
72.15.Rn
Brackets
Diffusion
Fractal analysis
Fractal geometry
Spreading
Statistics
Survival
Wave functions
Wave packets
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Summary:We consider the spreading of a wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of the non-ergodic extended states . We show that although non-trivial fractal dimensions characterize wave function statistics in this region, the wave packet spreading is governed by the "diffusion" exponent outside the ballistic regime and in the ballistic regime for . This demonstrates that the multifractality appears only in local quantities like the wave packet survival probability but not in the large-distance spreading of the wave packet.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/117/30003