Abstract
We present a general theoretical description of the temporal shaping of narrowband noncollinear type-I down-converted photons using a spectral phase filter with a symmetric phase distribution. By manipulating the spectral phase of the signal or idler photon, we demonstrate control of the correlation time and shape of the two-photon wavefunction with modulation frequency and modulation depth of the phase distribution.
Highlights
In the process of spontaneous parametric down-conversion [1,2], a pump photon incident on a birefringent crystal is split into two entangled photons
We present a theoretical model that gives a general description of the temporal shaping of narrowband noncollinear type-I down-converted photons using a spectral phase filter with a symmetric phase distribution
By phase-modulating the idler photons, we show that the time separation of the correlated photons can be controlled by varying the modulation frequency and modulation depth of the spectral filter
Summary
In the process of spontaneous parametric down-conversion [1,2], a pump photon incident on a birefringent crystal is split into two entangled photons (called signal and idler) Entanglement in both wave vector and frequency is due to the conservation of momentum and energy. The authors demonstrated control of the temporal properties of the entangled photons by using a phase step function of amplitude π at the middle of the signal spectrum. They observed a splitting in time of the two-photon wave function into two lobes. In a previous paper [21], we presented a detailed theoretical model of the temporal shaping of spectrally phase-modulated photons produced via the process of collinear type-II SPDC. We show that it is the modulation frequency which determines which photon of a pair arrives first at the detector and that for large modulation frequencies either signal or idler photons can arrive first
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