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Self-homodyne Tomography Measurement Of The Photon Statistics Of Parametric Fluorescence

Michael Vasilyev, M. Marable, Sang-Kyong Choi, Prem Kumar, Giacomo Mauro D’Ariano

Published May 18, 1997• 1 citation

Abstract

Photon distributions for parametric fluorescence are measured using a novel self-homodyning technique. They exhibit thermal-like character as predicted by the theory. Self-homodyning automatically matches the signal mode with the local oscillator mode. Submitted to QELS'97, 11/20/96 Self-homodyne tomography: measurement of the photon statistics of parametric fluorescence Michael V. Vasilyev, Michael L. Marable, Sang-Kyung Choi, and Prem Kumar Department of Electrical and Computer Engineering Northwestern University, Evanston, Illinois 60208-3118 and G. M. D'Ariano Dipartimento di Fisica "Alessandro Volta," Universit`a degli Studi di Pavia, Via A. Bassi 6, I-27100 Pavia, Italy. One of the important achievements in modern quantum optics is the development of the technique of optical homodyne tomography and its application to the reconstruction of quantum states of light [1]. Recently, it was shown that by using optical homodyne detectors, one can directly sample the density matrix,...

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Photon distributions for parametric fluorescence are measured using a novel self-homodyning technique. They exhibit thermal-like character as predicted by the theory. Self-homodyning automatically matches the signal mode with the local oscillator mode. Submitted to QELS'97, 11/20/96 Self-homodyne tomography: measurement of the photon statistics of parametric fluorescence Michael V. Vasilyev, Michael L. Marable, Sang-Kyung Choi, and Prem Kumar Department of Electrical and Computer Engineering Northwestern University, Evanston, Illinois 60208-3118 and G. M. D'Ariano Dipartimento di Fisica "Alessandro Volta," Universit`a degli Studi di Pavia, Via A. Bassi 6, I-27100 Pavia, Italy. One of the important achievements in modern quantum optics is the development of the technique of optical homodyne tomography and its application to the reconstruction of quantum states of light [1]. Recently, it was shown that by using optical homodyne detectors, one can directly sample the density matrix,...

A self-homodyne detection scheme is proposed to perform two-mode tomography on a twin-beam state at the output of a nondegenerate optical parametric amplifier. This scheme has been devised to improve the matching between the local oscillator and the signal modes, which is the main limitation to the overall quantum efficiency in conventional homodyning. The feasibility of the measurement is analyzed on the basis of Monte Carlo simulations, studying the effect of nonunit quantum efficiency on detection of the correlation and the total photon-number oscillations of the twin-beam state.

We report the first measurement of the joint photon-number probability distribution for a two-mode quantum state created by a nondegenerate optical parametric amplifier. The measured distribution exhibits inherently quantum correlations between the signal and idler photon numbers, whereas the marginal distributions are thermal as expected for parametric fluorescence. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

The recently developed method of optical homodyne tomography (OHT) allows one to obtain the photon statistics of a single mode with single-photon resolution. Recently, we used OHT to prove the Bose Einstein distribution (BED) character of parametric fluorescence. In general, in an OHT setup, a weak signal beam is mixed on a 50/50 beamsplitter with a strong local oscillator beam of the same polarization and spatio-temporal mode. In this paper, we apply OHT to show, we believe for the first time, that ASE noise of a single mode in an EDFA is Bose-Einstein distributed.