Optical Homodyne Tomography of Unpolarized Light

DS Krähmer; Ulf Leonhardt

Optical Homodyne Tomography of Unpolarized Light

DS Krähmer, Ulf Leonhardt

School of Physics and Astronomy

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

Abstract

We show how to reconstruct the quantum state of completely unpolarized light of type I [J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996)] via optical homodyne tomography. Our analysis can be extended to any two-mode situation with complete two-mode randomization and, moreover, to any two-dimensional harmonic oscillator with SU(2) symmetric states. Interestingly, we have shown that the Laplace operator applied to the quadrature distribution of unpolarized photons is orthogonal on the set of these distributions.

Original language	English
Pages (from-to)	3275-3278
Number of pages	4
Journal	Physical Review. A, Atomic, molecular, and optical physics
Volume	55
Publication status	Published - Apr 1997

Keywords

QUANTUM-MECHANICAL STATE
LOSSLESS BEAM SPLITTER
DENSITY-MATRIX
ULTRAFAST MEASUREMENT
SU(2) SYMMETRY
STATISTICS
PHASE
FIELD
RECONSTRUCTION

Cite this

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title = "Optical Homodyne Tomography of Unpolarized Light",

abstract = "We show how to reconstruct the quantum state of completely unpolarized light of type I [J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996)] via optical homodyne tomography. Our analysis can be extended to any two-mode situation with complete two-mode randomization and, moreover, to any two-dimensional harmonic oscillator with SU(2) symmetric states. Interestingly, we have shown that the Laplace operator applied to the quadrature distribution of unpolarized photons is orthogonal on the set of these distributions.",

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author = "DS Kr{\"a}hmer and Ulf Leonhardt",

year = "1997",

month = apr,

language = "English",

volume = "55",

pages = "3275--3278",

journal = "Physical Review. A, Atomic, molecular, and optical physics",

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T1 - Optical Homodyne Tomography of Unpolarized Light

AU - Krähmer, DS

AU - Leonhardt, Ulf

PY - 1997/4

Y1 - 1997/4

N2 - We show how to reconstruct the quantum state of completely unpolarized light of type I [J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996)] via optical homodyne tomography. Our analysis can be extended to any two-mode situation with complete two-mode randomization and, moreover, to any two-dimensional harmonic oscillator with SU(2) symmetric states. Interestingly, we have shown that the Laplace operator applied to the quadrature distribution of unpolarized photons is orthogonal on the set of these distributions.

AB - We show how to reconstruct the quantum state of completely unpolarized light of type I [J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996)] via optical homodyne tomography. Our analysis can be extended to any two-mode situation with complete two-mode randomization and, moreover, to any two-dimensional harmonic oscillator with SU(2) symmetric states. Interestingly, we have shown that the Laplace operator applied to the quadrature distribution of unpolarized photons is orthogonal on the set of these distributions.

KW - QUANTUM-MECHANICAL STATE

KW - LOSSLESS BEAM SPLITTER

KW - DENSITY-MATRIX

KW - ULTRAFAST MEASUREMENT

KW - SU(2) SYMMETRY

KW - STATISTICS

KW - PHASE

KW - FIELD

KW - RECONSTRUCTION

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M3 - Article

SN - 1050-2947

VL - 55

SP - 3275

EP - 3278

JO - Physical Review. A, Atomic, molecular, and optical physics

JF - Physical Review. A, Atomic, molecular, and optical physics

ER -

Optical Homodyne Tomography of Unpolarized Light

Abstract

Keywords

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