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• W1987339404 abstract "We investigate spectral and temporal features and entanglement of biphoton wave packets formed in spontaneous parametric down-conversion with a pulsed laser pump. The degree of entanglement is characterized by the experimentally measurable parameter $R$ defined as the ratio of the coincidence and single-particle spectral widths. In the frequency representation, this parameter is found as a function of the pump-pulse duration $ensuremath{tau}$. The function $R(ensuremath{tau})$ is shown to have a minimum and even in the minimum, at rather natural conditions, the degree of entanglement is found to be very high $({R}_{mathrm{min}}=73)$. The Schmidt number $K$ is found analytically for both short and long pump pulses and interpolated for arbitrary pulse durations. All functional dependences of $R$ and $K$ are found to be identical and numerical coefficients are found to be rather close. Two-time temporal wave function of a biphoton state is investigated in detail, and a rather significant difference between the cases of short and long pump pulses is found to occur. In the case of long pulses, the temporal parameter ${R}_{t}$ (defined as the ratio of durations of the single-particle and coincidence signals) is shown to be very close to the Schmidt number $K$." @default.
• W1987339404 created "2016-06-24" @default.
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• W1987339404 date "2008-12-16" @default.
• W1987339404 modified "2023-09-28" @default.
• W1987339404 title "Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement" @default.
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• W1987339404 doi "https://doi.org/10.1103/physreva.78.062327" @default.
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