München 2004 – scientific programme

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Q: Quantenoptik und Photonik

Q 47: Quanteneffekte IV

Q 47.7: Talk

Friday, March 26, 2004, 12:30–12:45, HS 218

Kernel Representations of the Wigner Function — •Oliver Crasser¹, Holger Mack¹, Wolfgang P. Schleich¹, Pavel Lougovski^2,3, Enrique Solano^2,4, and Herbert Walter^2,3 — ¹Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, Germany — ²Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany — ³Sektion Physik, Ludwigs-Maximilian-Universität München, 85748 Garching, Germany — ⁴Seccíon Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Lima, Peru

We present a new approach to reconstruct the Wigner function of motional states of trapped atoms as well as field states in cavities. This method is derived for Fresnel kernels and for a class of alternative intergral kernels, too. We analyze its properties, in particular, the connection between the considered state and the measurement time that is necessary to reconstruct the Wigner function sufficiently well. Furthermore, we generalize this approach to wave packets in arbitrary potentials.