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

arXiv:0709.2829 · Physical Review A

Theory of biphoton generation in a single-resonant optical parametric oscillator far below threshold

Ulrike Herzog, Matthias Scholz, Oliver J. Benson

Published Feb 28, 2008• 39 citations
arXivHTMLPDF

Abstract

We present a quantum-theoretical treatment of biphoton generation in single-resonant type-II parametric down-conversion. The nonlinear medium is continuously pumped and is placed inside a cavity which is resonant for the signal field, but nonresonant for the idler deflected by an intracavity polarizing beam splitter. The intensity of the classical pump is assumed to be sufficiently low in order to yield a biphoton production rate that is small compared to the cavity loss rate. Explicit expressions are derived for the rate of biphoton generation and for the biphoton wave function. The output spectra of the signal and idler field are determined, as well as the second-order signal-idler cross-correlation function which is shown to be asymmetric with respect to the time delay. Due to frequency entanglement in the signal-idler photon pair, the idler spectrum is found to reveal the longitudinal mode structure of the cavity, even though the idler field is not resonant.

DOI
10.1103/physreva.77.023826

Related papers

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

Single-photon statistics generated by narrow-band cavity-enhanced parametric down-conversion

Lars Koch, Matthias Scholz, Oliver J. Benson

This paper presents an experiment on single-photon spectrum generation using an optical parametric oscillator device with cavity-enhanced parametric down-conversion. A PPKTP crystal inside a cavity far below threshold is pumped in order to create signal-idler photon pairs. Triple-resonance of pump, signal, and idler fields are achieved using a compensating KTP crystal. Long-term stability, ultra-high brightness (14000 biphotons/s per mW), and MHz signal bandwidth behind a single-mode fiber on the cesium D1 line (894.3 nm) are attained by locking the cavity length of the pump via the Hansch-Couillaud method. The spectral width of the parametric fluorescence is also derived using the signal-to-idler cross-correlation measurements, and has been found to be < 3 MHz.

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jun 1, 2009•0 citations

Narrow-band single photons from a single-resonant optical parametric oscillator far below threshold

M. Scholz, Florian Wolfgramm, Ulrike Herzog +1 more

We present a single-resonant optical parametric oscillator pumped far below threshold as a source for narrow-band single photons. Spontaneous generation of single photons via parametric downconversion is modified and follows the cavity transfer function. Cross-correlation measurements between signal and idler beams show a cavity bandwidth of 62MHz. As the main improvement to prior realizations, our cavity is locked to the pump beam via the Hänsch-Couillaud method and therefore allows the continuous generation of heralded single photons with long-term stability.

Applied Physics Letters•Nov 5, 2007•45 citations

A full quantum theory of the three-mode interactions inside an OPO cavity

Tiancai Zhang, Changde Xie, Kunchi Peng

A full quantum treatment about the process of parametric down-conversion with frequency degenerate but polarization non-degenerate in an optical parametric oscillator (OPO) cavity is presented. Using the linearized Langevin equations and spectral matrix, we calculated the squeezing spectra of the coupled mode in the output field. The squeezing as a function of driving field and detection frequency is obtained. The results obtained, which are compared with those found semiclassically by Reynaud et al. , indicate that it is possible to generate a two-mode coherent squeezed state with large amplitude. The quantum correlation between the signal and the idler modes is also discussed. It is shown that there is an inseparable relationship between the two-mode squeezing and the intermode quantum correlation.

Acta Physica Sinica (Overseas Edition)•Sep 1, 1992•0 citations

Photon-pair generation in a lossy microring resonator. I. Theory

Paul M. Alsing, Edwin E. Hach

We investigate entangled photon-pair generation in a lossy microring resonator using an input-output formalism based on the work of M. G. Raymer and C. J. McKinstrie [Phys. Rev. A 88, 043819 (2013)] and P. M. Alsing et al. [Phys. Rev. A 95, 053828 (2017)] that incorporates circulation factors that account for the multiple round-trips of the fields within the cavity. We consider the nonlinear processes of spontaneous parametric down-conversion and spontaneous four-wave mixing, and we compute the generated biphoton signal-idler state from a single-bus microring resonator, along with the generation, coincidence-to-accidental, and heralding efficiency rates. We compare these generalized results to those obtained by previous works employing the standard Langevin input-output formalism.

arXiv:1705.09227•Physical Review A•Sep 27, 2017•13 citations

Twin-beam generation in a triply resonant dual-cavity optical parametric oscillator

Joseph Teja, N. C. Wong

We demonstrate a low-threshold twin-beam generator using a cw triply resonant optical parametric oscillator consisting of two coupled cavities: one that resonates the signal and idler waves and the other the pump field. An intensity correlation of 5.5 dB was observed at 3 MHz for a type-II phase-matched KTP optical parametric oscillator.

Optics Express•Feb 2, 1998•25 citations
We present a quantum-theoretical treatment of biphoton generation in single-resonant type-II parametric down-conversion. The nonlinear medium is continuously pumped and is placed inside a cavity which is resonant for the signal field, but nonresonant for the idler deflected by an intracavity polarizing beam splitter. The intensity of the classical pump is assumed to be sufficiently low in order to yield a biphoton production rate that is small compared to the cavity loss rate. Explicit expressions are derived for the rate of biphoton generation and for the biphoton wave function. The output spectra of the signal and idler field are determined, as well as the second-order signal-idler cross-correlation function which is shown to be asymmetric with respect to the time delay. Due to frequency entanglement in the signal-idler photon pair, the idler spectrum is found to reveal the longitudinal mode structure of the cavity, even though the idler field is not resonant.
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.
This paper presents an experiment on single-photon spectrum generation using an optical parametric oscillator device with cavity-enhanced parametric down-conversion. A PPKTP crystal inside a cavity far below threshold is pumped in order to create signal-idler photon pairs. Triple-resonance of pump, signal, and idler fields are achieved using a compensating KTP crystal. Long-term stability, ultra-high brightness (14000 biphotons/s per mW), and MHz signal bandwidth behind a single-mode fiber on the cesium D1 line (894.3 nm) are attained by locking the cavity length of the pump via the Hansch-Couillaud method. The spectral width of the parametric fluorescence is also derived using the signal-to-idler cross-correlation measurements, and has been found to be < 3 MHz.
We present a single-resonant optical parametric oscillator pumped far below threshold as a source for narrow-band single photons. Spontaneous generation of single photons via parametric downconversion is modified and follows the cavity transfer function. Cross-correlation measurements between signal and idler beams show a cavity bandwidth of 62MHz. As the main improvement to prior realizations, our cavity is locked to the pump beam via the Hänsch-Couillaud method and therefore allows the continuous generation of heralded single photons with long-term stability.
A full quantum treatment about the process of parametric down-conversion with frequency degenerate but polarization non-degenerate in an optical parametric oscillator (OPO) cavity is presented. Using the linearized Langevin equations and spectral matrix, we calculated the squeezing spectra of the coupled mode in the output field. The squeezing as a function of driving field and detection frequency is obtained. The results obtained, which are compared with those found semiclassically by Reynaud et al. , indicate that it is possible to generate a two-mode coherent squeezed state with large amplitude. The quantum correlation between the signal and the idler modes is also discussed. It is shown that there is an inseparable relationship between the two-mode squeezing and the intermode quantum correlation.
We investigate entangled photon-pair generation in a lossy microring resonator using an input-output formalism based on the work of M. G. Raymer and C. J. McKinstrie [Phys. Rev. A 88, 043819 (2013)] and P. M. Alsing et al. [Phys. Rev. A 95, 053828 (2017)] that incorporates circulation factors that account for the multiple round-trips of the fields within the cavity. We consider the nonlinear processes of spontaneous parametric down-conversion and spontaneous four-wave mixing, and we compute the generated biphoton signal-idler state from a single-bus microring resonator, along with the generation, coincidence-to-accidental, and heralding efficiency rates. We compare these generalized results to those obtained by previous works employing the standard Langevin input-output formalism.