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München 2004 – scientific programme

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Q: Quantenoptik und Photonik

Q 47: Quanteneffekte IV

Q 47.3: Talk

Friday, March 26, 2004, 11:30–11:45, HS 218

Fidelity for δ-kicked atoms at quantum resonance — •Sandro Wimberger1,2 and Andreas Buchleitner11Max-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

A characteristic feature emanating from classical chaos displays in the extreme sensitivity to changes of the system’s parameters. On the quantum level, one may therefore replace “sensitivity to initial conditions” by “sensitivity to changes in the Hamiltonian” to characterise the stability of quantum dynamics. A quantitative measure of the stability of quantum states with respect to changes in the Hamiltonian is the “fidelity”, the overlap of two initially identical states which are exposed to distinct evolutions [1].
We present analytical results on the time dependence of the fidelity for an ensemble of δ-kicked atoms, at quantum resonance conditions [2], and in experimentally feasible parameter ranges [3]. While the fidelity saturates in absence of noise, decoherence by spontaneous emission [2] leads to a decay whose properties depend on the precise action of the noise.

A. Peres, Phys. Rev. A 30, 1610 (1984)
S. Wimberger et al., Nonlinearity 16, 1381 (2003)
S. Schlunk et al., Phys. Rev. Lett. 90, 054101 (2003)

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