2018
DOI: 10.1364/ol.43.001155
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Direct transfer of pump amplitude to parametric down-converted photons

Abstract: In general, the spatial distribution of individual photons (signal or idler) generated by spontaneous parametric down-conversion (SPDC) does not evidently show any particular spatial mode structure because of their randomness in generation and the incoherent nature. Here, we numerically showed that all individual photons generated by the SPDC process carry the transverse amplitude as that of the pump and then confirmed it experimentally. The pump amplitude is revealed in SPDC when individual photons are spatia… Show more

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Cited by 8 publications
(4 citation statements)
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“…It is known [16][17][18] that these structured beams with a sufficiently large value of κ ⊥ , i. e., beyond the paraxial approximation and with κ ⊥ δ κ ⊥ , lead to a SPDC angular spectrum formed by two non-concentric cones. This contrasts with the opposite case κ ⊥ δ κ ⊥ (including the Gaussian-beam case κ ⊥ → 0) for which the angular spectrum consists of a single cone [17][18][19][20][21]. The location of the two cones is asymmetric, as mediated by the pump walk-off and the asymmetric distribution of the wavevectors in the incoming Bessel pump beam with respect to the optic axis.…”
Section: Introductionmentioning
confidence: 91%
“…It is known [16][17][18] that these structured beams with a sufficiently large value of κ ⊥ , i. e., beyond the paraxial approximation and with κ ⊥ δ κ ⊥ , lead to a SPDC angular spectrum formed by two non-concentric cones. This contrasts with the opposite case κ ⊥ δ κ ⊥ (including the Gaussian-beam case κ ⊥ → 0) for which the angular spectrum consists of a single cone [17][18][19][20][21]. The location of the two cones is asymmetric, as mediated by the pump walk-off and the asymmetric distribution of the wavevectors in the incoming Bessel pump beam with respect to the optic axis.…”
Section: Introductionmentioning
confidence: 91%
“…Discrete variable entanglement includes polarization [1] and orbital angular momentum [2], and have been studied and utilized in numerous applications as quantum key distribution [3], superdense coding [4], quantum teleportation [5], etc. The transverse position and momentum of the SPDC photons are the continuous spatial variables that have gained attention in recent years [6][7][8][9], and found applications in the field of quantum imaging [10][11][12][13][14][15], quantum metrology [16] and quantum communication [17][18][19].…”
Section: Introductionmentioning
confidence: 99%
“…It has been experimentally verified that the amplitude, as well as the helical phase of an optical vortex pump, gets transferred to SPDC photons [24,25]. Based on the OAM selection rule in SPDC process, single photons carrying OAM are generated in 'heralding' configuration by pumping an optical vortex beam into a nonlinear crystal and projecting one photon from the generated pair to 'zero OAM' (Gaussian) mode [26].…”
Section: Introductionmentioning
confidence: 99%