Fresnel Representation of the Wigner Function: An Operational Approach

P. Lougovski, E. Solano, Z. M. Zhang, Herbert Walther, H. Mack, W. P. Schleich

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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, Phys. Rev. Lett. 76, 1796 (1996)] and in cavity QED [B. Varcoe, Nature (London) 403, 743 (2000)]. The values of the Wigner functions of the underlying states at the origin of phase space are [Formula presented] for the vibrational ground state and [Formula presented] for the one-photon number state. We generalize this method to wave packets in arbitrary potentials. © 2003 The American Physical Society.
Idioma originalEspañol
PublicaciónPhysical Review Letters
EstadoPublicada - 30 jun. 2003
Publicado de forma externa

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