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Theory of parametric frequency down conversion of light
Abstract
A theoretical study is made of the process in which incident pump photons that interact with a nonlinear medium (such as a crystal lacking inversion symmetry) are spontaneously split into lower-frequency signal and idler photons. The down-converted fields are quantized and described by a continuum of modes, a subset of which interacts with each photodetector. It is shown that when two ideal photodetectors are appropriately located so that they receive the conjugate signal and idler photons, then the joint probability of two-photon detection by the two detectors can equal the single-photon detection probability. The time correlation between the two detected photons is shown to be limited either by the resolving time of the detectors, or by the bandwidth of the down-converted light, and to be independent of the coherence time of the pump field or of the length of the nonlinear medium. These conclusions are compared with the results of recent experiments.
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Citations
Cites
Observation of Simultaneity in Parametric Production of Optical Photon Pairs
Burnham, D. C., & Weinberg, D. L. (1970) · Physical Review Letters · doi:10.1103/physrevlett.25.84 · Cited by 1,111
Cited by
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515
Measurement of subpicosecond time intervals between two photons by interference
Hong, C. K., Ou, Z. Y., & Mandel, L. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2044 · Cited by 4,369
Self-citation‘‘Event-ready-detectors’’ Bell experiment via entanglement swapping
Żukowski, M., Zeilinger, A., Horne, M. A., & Ekert, A. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.4287 · Cited by 2,045
Quantum repeaters based on atomic ensembles and linear optics
Sangouard, N., Simon, C., de Riedmatten, H., & Gisin, N. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.33 · Cited by 1,888
Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410
“In the works of Mollow (1973) and Hong and Mandel (1985) the theory reached its final form.”
Background
Metadata
- Authors
- Hong, C. K., & Mandel, L.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1985-04-01
- Volume
- 31
- Issue
- 4
- Pages
- 2409-2418
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2035861570
- Cited by
- 463
- References
- 1
- FWCI
- 6.44
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hong, C. K., & Mandel, L. (1985). Theory of parametric frequency down conversion of light. Physical Review A. https://doi.org/10.1103/physreva.31.2409
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