Fresnel Representation of the Wigner Function: An Operational Approach

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

Fresnel Representation of the Wigner Function: An Operational Approach

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

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	Spanish
Journal	Physical Review Letters
Volume	91
State	Published - 30 Jun 2003
Externally published	Yes

Cite this

@article{5a305fb771ef4f10bd381c23c41a1ff9,

title = "Fresnel Representation of the Wigner Function: An Operational Approach",

abstract = "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. {\textcopyright} 2003 The American Physical Society.",

author = "P. Lougovski and E. Solano and Zhang, {Z. M.} and Herbert Walther and H. Mack and Schleich, {W. P.}",

year = "2003",

month = jun,

day = "30",

language = "Espa{\~n}ol",

volume = "91",

journal = "Physical Review Letters",

issn = "0031-9007",

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TY - JOUR

T1 - Fresnel Representation of the Wigner Function: An Operational Approach

AU - Lougovski, P.

AU - Solano, E.

AU - Zhang, Z. M.

AU - Walther, Herbert

AU - Mack, H.

AU - Schleich, W. P.

PY - 2003/6/30

Y1 - 2003/6/30

N2 - 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.

AB - 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.

M3 - Artículo

SN - 0031-9007

VL - 91

JO - Physical Review Letters

JF - Physical Review Letters

ER -