München 2004 – scientific programme
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Q: Quantenoptik und Photonik
Q 17: Teilchenoptik
Q 17.2: Talk
Tuesday, March 23, 2004, 11:15–11:30, HS 224
A classical scaling theory of quantum resonances — •Sandro Wimberger1,2, Andreas Buchleitner1, Italo Guarneri2, and Shmuel Fishman3 — 1Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, D-01187 Dresden — 2International Centre for the Study of Dynamical Systems, Università degli Studi dell’ Insubria, Via Valleggio 11, I-22100 Como — 3Physics Department, Technion, Haifa IL-32000
Atom optics provides techniques for the study of periodically
driven quantum systems with highly complex dynamics on the
quantum as well as on the classical level.
Recent experiments have scanned the
dynamical regimes of δ-kicked atoms, and have investigated
in particular the quantum-resonance peaks at integer
multiples of the half Talbot time [1].
These quantum resonances can be characterised with the help of a
fictitious classical limit, establishing a direct correspondence
between the nearly resonant quantum motion and the classical
nonlinear resonances of a related system [2]. A scaling law
which describes the structure of the resonant peaks is
derived, and numerically demonstrated. The peak widths show a
sharp sub-Fourier behaviour in time [3]. This reflects the high
sensitivity of the quantum-chaotic δ-kicked rotor
with respect to slight variations in the detuning from resonance.
M.B. d’Arcy et al., quant-ph/0307034
S. Wimberger et al., nlin.CD/0302018
S. Wimberger et al., Nonlinearity 16, 1381 (2003)