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Q: Quantenoptik und Photonik
Q 10: Quanteneffekte I
Q 10.1: Talk
Monday, March 13, 2006, 14:00–14:15, HII
Can fractal fluctuations be observed in atom-optics kicked rotor experiments? — •Andrea Tomadin1,2 and Sandro Wimberger2 — 1Scuola Normale Superiore, Piazza dei Cavalieri, I-56100 Pisa — 2Dipartimento di Fisica E. Fermi, Università degli Studi di Pisa, Largo Pontecorvo 3, I-56127 Pisa
Spectral arguments predict the existence of parametric fractal fluctuations
in the δ−kicked rotor model owing to the strong “dynamical localization” of the eigenstates [1].
We present a comprehensive discussion of the possibility of observing such
dynamically-induced fractality in the atom-optics realization of the kicked rotor. The influence of the atoms’ initial momentum distribution is studied
as well as the systematic dependence of the expected fractal dimension on
finite-size effects of the experiment (detection windows and finite measurement times). Our results show that clear signatures of fractality could be observed
in experiments with flashed optical lattices, which already offer an
excellent control on interaction times and the initial atomic ensemble [2].
[1] I. Guarneri and M. Terraneo, Phys. Rev. E 65, 015203(R) (2001).
[2] C. Ryu, M. Andersen, A. Vaziri, M.B. d’Arcy, J.M. Grossmann,
K. Helmerson, and W.D. Phillips, in preparation (2005).