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

Applied Optics

Theory of photon-pair correlations in parametric downconversion in a microcavity

Roger Andrews, Edward Roy Pike, Sarben Sarkar

Published Aug 20, 2001• 2 citations
Publisher

Abstract

A theory of spontaneous parametric downconversion in a nonlinear crystal that is placed inside a microcavity in the degenerate, collinear, type I arrangement is given. Both atom and field variables are fully quantized. The photon-correlation function for the entangled photon pairs produced has a much longer correlation time (~0.4 ns) than that without the cavity (of the order of subpicoseconds) and can be measured directly with fast photodetectors. We also calculate the resonant suppression and enhancement in the photon-pair count rate as a function of cavity length. The results are in qualitative agreement with recent downconversion experiments [Phys. Rev. Lett. 85, 2556 (1999)] in a 4.5-mm cavity.

DOI
10.1364/ao.40.004050

Related papers

Photon correlation quenching of parametric down conversion in a Fabry-Perot microcavity

Roger Andrews, Edward R. Pike, Sarben Sarkar

Spontaneous parametric down-conversion is investigated theoretically for a nonlinear crystal placed inside a microcavity of length 100 microns. We find suppression and enhancement in the count rate for detectors placed outside the cavity.

Photon Correlation and Scattering•Jan 1, 2000•0 citations

Photon correlations of a sub-threshold optical parametric oscillator

Roger Andrews, Edward R. Pike, Sarben Sarkar

A microscopic multimode theory of collinear type-I spontaneous parametric downconversion in a cavity is presented. Single-mode and multimode correlation functions have been derived using fully quantized atom and electromagnetic field variables. From a first principles calculation the FWHM of the single-mode correlation function and the cavity enhancement factor have been obtained in terms of mirror reflectivities and the first-order crystal dispersion coefficient. The values obtained are in good agreement with recent experimental results [Phys. Rev. A 62 , 033804 (2000)].

Optics Express•Jun 3, 2002•3 citations

Spontaneous type-1 optical parametric down-conversion in a Fabry-Perot microcavity

Roger Andrews

Spontaneous parametric down-conversion is investigated theoretically for a nonlinear crystal placed inside a microcavity of length 100 microns. We find suppression and enhancement in the count rate for detectors placed outside the cavity.

Nonlinear Optics•Jan 1, 2000•0 citations

Spontaneous type-1 optical parametric down-conversion in a Fabry-Perot microcavity

R. A. Andrews

Spontaneous parametric down-conversion is investigated theoretically for a nonlinear crystal placed inside a microcavity of length 100 microns. We find suppression and enhancement in the count rate for detectors placed outside the cavity.

Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. Postconference Edition. TOPS Vol.46 (IEEE Cat. No.00CH37174)•Nov 7, 2002•0 citations

Generation of narrow-band correlated photon pairs by spontaneous down conversion in a cavity

Латыпов Ильнур Зиннурович, Alexander A. Kalinkin, A. V. Shkalikov +2 more

The problem of generating a narrow-band biphoton field during spontaneous parametric down conversion of light in a quadratic nonlinear medium in a cavity is discussed. It is shown that, in the case of double resonance (for signal and idle fields), the form of the single-photon wave packet is biexponential and has a half-width determined by the photon life time in the cavity. An experiment is carried out on the generation of narrow-band biphotons in a crystal of lithium iodine with I-type matching in a frequency degenerate collinear regime. The second-order correlation function of the cavity-enhanced biphotons is measured using the electric nanosecond time delay line.

Bulletin of the Russian Academy of Sciences Physics•Dec 1, 2009•0 citations

Theory of cavity-enhanced spontaneous parametric downconversion

Yasser Jerónimo-Moreno, S. Rodriguez-Benavides, Alfred B. U’Ren

In this paper we study photon pairs generated in a nonlinear cavity composed of a nonlinear crystal surrounded by mirrors, by the process of spotaneous parametric downconversion. We analyze two different regimes: singly-resonant cavities where the signal and idler modes are resonant and doubly-resonant cavities where the pump mode is also resonant. We present analytic expressions for the joint spectral amplitude in these two cases and study the reduction in emission bandwidth as the cavity coefficient finesse is increased. We also study the enhancement of the source brightness from the presence of the cavity.

arXiv:1006.0050•Laser Physics•Apr 2, 2010•51 citations
A theory of spontaneous parametric downconversion in a nonlinear crystal that is placed inside a microcavity in the degenerate, collinear, type I arrangement is given. Both atom and field variables are fully quantized. The photon-correlation function for the entangled photon pairs produced has a much longer correlation time (~0.4 ns) than that without the cavity (of the order of subpicoseconds) and can be measured directly with fast photodetectors. We also calculate the resonant suppression and enhancement in the photon-pair count rate as a function of cavity length. The results are in qualitative agreement with recent downconversion experiments [Phys. Rev. Lett. 85, 2556 (1999)] in a 4.5-mm cavity.
A microscopic multimode theory of collinear type-I spontaneous parametric downconversion in a cavity is presented. Single-mode and multimode correlation functions have been derived using fully quantized atom and electromagnetic field variables. From a first principles calculation the FWHM of the single-mode correlation function and the cavity enhancement factor have been obtained in terms of mirror reflectivities and the first-order crystal dispersion coefficient. The values obtained are in good agreement with recent experimental results [Phys. Rev. A 62 , 033804 (2000)].
The problem of generating a narrow-band biphoton field during spontaneous parametric down conversion of light in a quadratic nonlinear medium in a cavity is discussed. It is shown that, in the case of double resonance (for signal and idle fields), the form of the single-photon wave packet is biexponential and has a half-width determined by the photon life time in the cavity. An experiment is carried out on the generation of narrow-band biphotons in a crystal of lithium iodine with I-type matching in a frequency degenerate collinear regime. The second-order correlation function of the cavity-enhanced biphotons is measured using the electric nanosecond time delay line.
In this paper we study photon pairs generated in a nonlinear cavity composed of a nonlinear crystal surrounded by mirrors, by the process of spotaneous parametric downconversion. We analyze two different regimes: singly-resonant cavities where the signal and idler modes are resonant and doubly-resonant cavities where the pump mode is also resonant. We present analytic expressions for the joint spectral amplitude in these two cases and study the reduction in emission bandwidth as the cavity coefficient finesse is increased. We also study the enhancement of the source brightness from the presence of the cavity.