Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Dispersion cancellation and quantum eraser experiments analyzed in the Wigner function formalism

Alberto Casado, A. Fernández-Rueda, Trevor W. Marshall, Ramón Risco, Emilio Santos

Published Sep 1, 1997• 18 citations
Publisher

Abstract

We extend the Wigner function formalism for parametric down-conversion experiments presented in a previous paper [Phys. Rev. A 55 3879 (1997)] to experiments involving propagation through a dispersive medium [Steinberg et al., Phys. Rev. A 45, 6659 (1992)], and polarization [Kwiat et al., Phys. Rev. A 45, 7729 (1992)].
DOI
10.1103/physreva.56.2477

Related papers

Parametric downconversion experiments in the Wigner representation

Alberto Casado, Trevor W. Marshall, Emilio Santos

The Wigner representation is developed in the Heisenberg picture for the study of experiments involving photon pairs created in the process of parametric down conversion. After the general description of a light beam and the theory of detection (restricted here to single count probabilities in the Wigner formalism) the theory of parametric downconversion is developed to the point of calculating the autocorrelations of the signal and idler beams. Two recent experiments are analyzed in detail: frustrated two-photon creation by interference, and induced coherence and indistinguishability.

Journal of the Optical Society of America B•Mar 1, 1997•44 citations

Parametric down‐conversion experiments with stationary fields

Vlasta Peřinová, A. Lukš

Abstract Returning from the Wigner to the Hilbert‐space formalism, we have augmented the detailed analysis of the four experiments by Casado et al. [Phys. Rev. A55, 3879 (1997)]. Starting from realistic, though arbitrary, parameters we have made numerical calculations of the visibility of fourth‐order interference. We have found that two of these experiments are rather proposals than reported ones and we have formulated an alternative to the description of one of them.

Fortschritte der Physik•Feb 26, 2003•2 citations

Fourth-order interference in the Wigner representation for parametric down-conversion experiments

Alberto Casado, A. Fernández-Rueda, Trevor W. Marshall +2 more

In the Wigner formalism, after giving a general description of a light beam, the theory of parametric down-conversion is developed to second-order in the coupling constant. We then describe the detection process by calculating the auto-correlation and cross-correlations of the signal and idler beams. Four recent experiments are analyzed in detail: interference on a screen, Franson's experiments [Phys. Rev. Lett. 62, 2205 (1989)], Rarity and Tapster's experiments [Phys. Rev. Lett. 64, 2495 (1990)], and induced coherence without induced emission [X. Y. Zou, L. J. Wang, and L. Mandel, Phys. Rev. Lett. 67, 318 (1991)].

Physical Review A•May 1, 1997•38 citations

Functional Phase Space Methods

Filippus Stefanus Roux

This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.

De Gruyter eBooks•Jul 5, 2025•0 citations

Photon counting, quantum phase, and phase-space distributions

Matthias Freyberger, Wolfgang P. Schleich

We analyze a recent proposal for a new phase operator along with the experiment [J. W. Noh, A. Foug\`eres, and L. Mandel, Phys. Rev. Lett. 67, 1426 (1991)] using phase-space functions. We show that the measured dispersion in phase results from a phase distribution given by the appropriate Wigner function integrated over radius. We relate this experiment to a different phase operator [H. Paul, Fortschr. Phys. 22, 657 (1974)] and the integrated Q function.

Physical Review A•Jan 1, 1993•107 citations

Comment on “Dispersion-Independent High-Visibility Quantum Interference in Ultrafast Parametric Down-Conversion”

Yoon-Ho Kim, S. P. Kulik, Morton H. Rubin +1 more

We show in this Comment that the interpretation of experimental data as well as the theory presented in Atatüre et al. [Phys. Rev. Lett. 84, 618 (2000)] are incorrect and discuss why such a scheme cannot be used to "recover" high-visibility quantum interference.

arXiv:quant-ph/0006003•Physical Review Letters•May 14, 2001•7 citations
The Wigner representation is developed in the Heisenberg picture for the study of experiments involving photon pairs created in the process of parametric down conversion. After the general description of a light beam and the theory of detection (restricted here to single count probabilities in the Wigner formalism) the theory of parametric downconversion is developed to the point of calculating the autocorrelations of the signal and idler beams. Two recent experiments are analyzed in detail: frustrated two-photon creation by interference, and induced coherence and indistinguishability.
In the Wigner formalism, after giving a general description of a light beam, the theory of parametric down-conversion is developed to second-order in the coupling constant. We then describe the detection process by calculating the auto-correlation and cross-correlations of the signal and idler beams. Four recent experiments are analyzed in detail: interference on a screen, Franson's experiments [Phys. Rev. Lett. 62, 2205 (1989)], Rarity and Tapster's experiments [Phys. Rev. Lett. 64, 2495 (1990)], and induced coherence without induced emission [X. Y. Zou, L. J. Wang, and L. Mandel, Phys. Rev. Lett. 67, 318 (1991)].