Measurement of the Wigner distribution and the density matrix of a light mode by using optical homodyne tomography: application to squeezed states and vacuum

D. T. Smithey; M. Beck; A. Faridani; A. Faridani; M. G. Raymer

Quantum Electronics and Laser Science Conference
OSA Technical Digest (Optica Publishing Group, 1993),
paper QThF7

Measurement of the Wigner distribution and the density matrix of a light mode by using optical homodyne tomography: application to squeezed states and vacuum

D. T. Smithey, M. Beck, A. Faridani, and M. G. Raymer

Quantum Electronics and Laser Science Conference 1993

Baltimore, Maryland United States
2–7 May 1993
ISBN: 1-55752-302-9

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Squeezed States (QThF)

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D. T. Smithey, M. Beck, A. Faridani, and M. G. Raymer, "Measurement of the Wigner distribution and the density matrix of a light mode by using optical homodyne tomography: application to squeezed states and vacuum," in Quantum Electronics and Laser Science Conference, D. Auston, D. Steel, T. Heinz, and G. Stegeman, eds., Vol. 12 of OSA Technical Digest (Optica Publishing Group, 1993), paper QThF7.

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Abstract

We report measurements of the Wigner distribution and the density matrix of an electromagnetic field mode, for both vacuum and quadrature-squeezed states. As proposed by Vogel and Risken,¹ we obtained the Wigner distribution by tomographic inversion of a set of probability distributions of field-quadrature amplitudes measured by using balanced homodyne detection. A Fourier transform of the Wiener function yields the density matrix, which, according to the standard interpretation of quantum mechanics, contains all knowable information about a given quantum system.

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