2003/10/20 by Ilias Amanatidis, E. J. Amanatidis, D. E. Katsanos +1 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevb.69.195107
9 pages, 8 postscript figures
arxiv created 2003/10/20 · openalex publication_date 2004/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We demonstrate fractal noise in the quantum evolution of wave packets moving either ballistically or diffusively in periodic and quasiperiodic tight-binding lattices, respectively. For the ballistic case with various initial superpositions we obtain a space-time self-affine fractal \ensuremathΨ(x,t) which verifies the predictions by Berry for ``a particle in a box,'' in addition to quantum revivals. For the diffusive case self-similar fractal evolution is also obtained. These universal fractal features of quantum theory might be useful in the field of quantum information, for creating efficient quantum algorithms, and can possibly be detectable in scattering from nanostructures.