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Frankfurt 2006 – wissenschaftliches Programm

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Q: Quantenoptik und Photonik

Q 10: Quanteneffekte I

Q 10.1: Vortrag

Montag, 13. März 2006, 14:00–14:15, HII

Can fractal fluctuations be observed in atom-optics kicked rotor experiments? — •Andrea Tomadin1,2 and Sandro Wimberger21Scuola 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).

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