Fresnel Representation of the Wigner Function: An Operational Approach

Details Fresnel Representation of the Wigner Function: An Operational Approach Fresnel Representation of the Wigner Function: An Operational Approach

2002-06-13

arxiv.org/abs/quant-ph/0206083v3

Phys. Rev. Lett. 91, 010401 (2003)

Physics

Quantum Physics

4 pages include 4 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.91.010401

We present an operational definition of the Wigner function. Our method relies on the Fresnel transform of measured Rabi oscillations and applies to motional states of trapped atoms as well as to field states in cavities. We illustrate this technique using data from recent experiments in ion traps [D. M. Meekhof et al., Phys. Rev. Lett. 76, 1796 (1996)] and in cavity QED [B. Varcoe et al., Nature 403, 743 (2000)]. The values of the Wigner functions of the underlying states at the origin of phase space are W(0)=+1.75 for the vibrational ground state and W(0)=-1.4 for the one-photon number state. We generalize this method to wave packets in arbitrary potentials.

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