Hamburg 2009 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 40: Quanteneffekte: Interferenz und Korrelationen II
Q 40.2: Vortrag
Mittwoch, 4. März 2009, 16:45–17:00, VMP 6 HS-E
A semiclassical approach for the fidelity decay of δ-kicked atoms — •Martina Abb1,2, Italo Guarneri3, and Sandro Wimberger1,2 — 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-69120 Heidelberg — 2Heidelberg Graduate School of Fundamental Physics, Albert-Ueberle-Str. 3-5, D-69120 Heidelberg — 3Center for Nonlinear and Complex Systems, Universita degli Studi dell’Insubria, Via Valleggio 11, I-22100 Como
Fidelity, the overlap of two wavefunctions with slightly different time evolutions, constitutes a sensitive measure to changes in the parameters of a given quantum system. Recently, an experiment performed at Harvard [1] confirmed the predictions (such as saturation of fidelity for long times) made for δ-kicked atoms at exact quantum resonance conditions [2]. This group also explored their immediate vicinity, which can be theoretically described by a near-integrable system [3]. We expand the region of parameters theoretically treated so far by numerical quantum calculations and offer a semiclassical ansatz to explain the observed fidelity decay close to quantum resonance. Moreover, we predict the occurence of experimentally accessible revivals of fidelity.
[1] S. Wu, A. Tonyushkin, and M. G. Prentiss,
Preprint
arXiv:0801.0475v3.
[2] S. Wimberger and A. Buchleitner, J. Phys. B: At. Mol. Opt. Phys. 39, L145-L151 (2006).
[3] S. Wimberger, I. Guarneri, and S. Fishman, Nonlinearity 16, 1381-1420 (2002)