Klyshko's advanced-wave picture in stimulated parametric down-conversion with a spatially structured pump beam

Abstract

The advanced-wave picture is "... an intuitive treatment of two-photon correlation with the help of the concept of an effective field acting upon one of the two detectors and formed by parametric conversion of the advanced wave emitted by the second detector ..." [A. V. Belinskii and D. N. Klyshko, JETP 78, 259 (1994)]. This quote from Belinskii and Klyshko nicely describes the concept of the advanced-wave picture; an intuitive tool for designing and predicting results from coincidencebased two-photon experiments. Up to now, the advanced-wave picture has been considered primarily for the case of an ideal plane-wave pump beam and only for design purposes. Here we study the advanced wave picture for a structured pump beam and in the context of stimulated emission provoked by an auxiliary input laser beam. This suggests stimulated parametric down-conversion as a useful experimental tool for testing the experimental sets designed with the advanced-wave picture. We present experimental results demonstrating the strategy of designing the experiment with advanced-wave picture and testing with stimulated emission.

Phase Conjugation and Mode Conversion in Stimulated Parametric Down-Conversion with Orbital Angular Momentum: a Geometrical Interpretation

“…These results can also be interpreted in terms of the Advanced-Wave Picture (AWP) for StimPDC [26], in which the idler wave is the equivalent of the signal advanced wave being reflected by the pump wavefront at the crystal plane. Applying the AWP to our specific case, the idler must be the equivalent of the reflection of the signal by a plane mirror.…”

Two-boson quantum interference in time

“…Quantum amplification in this model occurs from a PDC-like coupling of this inverted harmonic oscillator, whereas quantum damping follows from the BS-like coupling of a usual harmonic oscillator with the bath. The PTR duality is also reminiscent of Klyshko’s so-called “advanced-wave picture” in PDC ( 27 ), which provides an interpretation of coincidence-based two-photon experiments: the wave that is detected by one of the detectors behind PDC can be viewed as resulting from an “advanced wave” emitted by the second detector, so that PDC acts as a mirror ( 28 ). This picture may indeed be interpreted as a special case of Eq.…”

Quantum-optical Description of Phase Conjugation of Vector Vortex Beams in Stimulated Parametric Down Conversion

“…1 b) illustrates the StimPDC scheme. It has been shown that the stimulation of the signal beam can be interpreted as being equivalent to a state projection [41]. Therefore, we can see from Eqs.…”