Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion

Molina‐Terriza, Gabriel; Minardi, Stefano; Deyanova, Yana; Osorio, Clara I.; Hendrych, Martin; Torres, Juan P.

doi:10.1103/physreva.72.065802

Cited by 58 publications

(43 citation statements)

References 28 publications

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“…Ellipticity of the two-photon spatial wave function caused by non-collinear geometry and focusing of the pump beam has been observed experimentally [47]. Torres, Osorio and Torner [189] have considered the extreme situation in which the down-converted fields are either counter-propagating and perpendicular to the pump field, or co-propagating with respect to each other but counterpropagating to the pump field.…”

Section: Entanglement and Conservation Of Orbital Angular Momentum Inmentioning

confidence: 99%

“…Due to the presence of the linear term l t (q sx + q ix ), that function is, in general, much narrower in the x direction than it is in the y direction. This fact causes the two-photon coincidence detection amplitude to not emulate the pump beam angular spectrum completely [47,44]. For example, in the collinear (µ oe = µ eo = 0) degenerate monochromatic (ω s = ω i = ω p /2) case, when the detectors are scanned in the same direction in the q space (q s = q i = q), the amplitude Φ oo is proportional to…”

Section: The Angular Spectrum and Its Propagationmentioning

confidence: 99%

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Spatial correlations in parametric down-conversion

et al. 2010

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The transverse spatial effects observed in photon pairs produced by parametric down-conversion provide a robust and fertile testing ground for studies of quantum mechanics, non-classical states of light, correlated imaging and quantum information. Over the last 20 years there has been much progress in this area, ranging from technical advances and applications such as quantum imaging to investigations of fundamental aspects of quantum physics such as complementarity relations, Bell's inequality violation and entanglement. The field has grown immensely: a quick search shows that there are hundreds of papers published in this field, some with hundreds of citations. The objective of this article is to review the building blocks and major theoretical and experimental advances in the field, along with some possible technical applications and connections to other research areas.

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Section: Entanglement and Conservation Of Orbital Angular Momentum Inmentioning

confidence: 99%

Section: The Angular Spectrum and Its Propagationmentioning

confidence: 99%

Spatial correlations in parametric down-conversion

et al. 2010

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“…In many of these experiments, the signal and idler fields are projected onto specific transverse k-vector amplitudes using phase holograms or other optical elements. In this paper we exploit the fact that for a sufficiently-short crystal, the spatial pump beam properties can be directly mapped to the two-photon state [10,11], and in particular to the heralded single-photon; this is accomplished without the need for projecting, post-generation, the heralded single photon into particular k-vector distributions [12]. Specifically, in our work we directly map the non-diffracting behavior of a Bessel-Gauss (BG) pump beam to the single-photon amplitude of the heralded signal photons.…”

Section: Introductionmentioning

confidence: 99%

Observation of non-diffracting behavior at the single-photon level

et al. 2012

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Abstract:We demonstrate the generation of non-diffracting heralded single photons, i.e. which are characterized by a single-photon transverse intensity distribution which remains essentially unchanged over a significant propagation distance. For this purpose we have relied on the process of spontaneous parametric downconversion (SPDC) for the generation of signal and idler photon pairs, where our SPDC crystal is pumped by a Bessel-Gauss (BG) beam. Our experiment shows that the well-understood non-diffracting behavior of a BG beam may be directly mapped to the signal-mode, single photons heralded by the detection of a single idler photon. In our experiment, the heralded single photon is thus arranged to be non-diffracting without the need for projecting its single-photon transverse amplitude, post-generation, in any manner.

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“…The direction of propagation of the pump/control beams determine a preferred direction, so configurations where the Stokes and anti-Stokes photons are selected at different angles with respect to this direction might show different quantum properties. This is reminiscent of what it happens in non-collinear SPDC configurations [11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Spatial entanglement of paired photons generated in cold atomic ensembles

et al. 2008

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Cold atomic ensembles can mediate the generation of entanglement between pairs of photons. Photons with specific directions of propagation are detected, and the entanglement can reside in any of the degrees of freedom that describe the whole quantum state of the photons: polarization, spatial shape or frequency. We show that the direction of propagation of the generated photons determines the spatial quantum state of the photons and therefore, the amount of entanglement generated. When photons generated in different directions are combined, this spatial distinguishing information can degrade the quantum purity of the polarization or frequency entanglement.

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Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion

Cited by 58 publications

References 28 publications

Spatial correlations in parametric down-conversion

Spatial correlations in parametric down-conversion

Observation of non-diffracting behavior at the single-photon level

Spatial entanglement of paired photons generated in cold atomic ensembles

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