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

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.77.023826· OSTI ID:21140573

Herzog, Ulrike; Scholz, Matthias; Benson, Oliver ^[1]

---

1. Nano-Optics, Institut fuer Physik, Humboldt-Universitaet zu Berlin, D-10117 Berlin (Germany)

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.

• OSTI ID: 21140573
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 77; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMMETRY
CAVITY RESONATORS
CORRELATION FUNCTIONS
NONLINEAR PROBLEMS
PARAMETRIC OSCILLATORS
PHOTONS
POLARIZED BEAMS
QUANTUM ENTANGLEMENT
SPECTRA
TIME DELAY
WAVE FUNCTIONS