Abstract
To a first approximation, a single photon incident upon an ideal beam splitter will either be transmitted or reflected. The author has recently shown, however, that an ideal beam splitter has a small probability of coherently splitting a single photon into a pair of secondary photons, conserving energy in the process. This process is analogous to parametric down-conversionl,2, except that the necessary nonlinearity does not come from any inherent nonlinearity of the medium but comes, instead, from the A 2 term in the Hamiltonian. The necessary inversion asymmetry is also not a property of the medium and is dependent upon the direction of the wave vectors of the incident and secondary photons. The secondary photons have little or no first-order coherence but they do possess second-order coherence, which allows their use in two-photon interferometry3.
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References
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© 1996 Springer Science+Business Media New York
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Franson, J.D. (1996). Coherent Splitting of Single Photons by an Ideal Beam Splitter. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_74
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DOI: https://doi.org/10.1007/978-1-4757-9742-8_74
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