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

Cruz-Ramírez, Héctor; Alarcón, Roberto Ramírez; Morelos, Francisco J.; Quinto‐Su, Pedro A.; Gutiérrez-Vega, Julio C.; U’Ren, Alfred B.

doi:10.1364/oe.20.029761

Cited by 28 publications

(26 citation statements)

References 18 publications

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“…The spatial modal bases are related by unitary transformations such that the down-converted quantum states are also entangled in terms of the BG modes. The entangled BG modes [17,18] allow for additional control over quantum state preparation, as they have a continuous radial scale parameter that distinguishes different modes, instead of a discrete radial index as in LG modes.…”

Section: Introductionmentioning

confidence: 99%

Two-photon optics of Bessel-Gaussian modes

et al. 2013

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In this paper we consider geometrical two-photon optics of Bessel-Gaussian modes generated in spontaneous parametric down-conversion of a Gaussian pump beam. We provide a general theoretical expression for the orbital angular momentum (OAM) spectrum and Schmidt number in this basis and show how this may be varied by control over the radial degree of freedom, a continuous parameter in Bessel-Gaussian modes. As a test we first implement a back-projection technique to classically predict, by experiment, the quantum correlations for Bessel-Gaussian modes produced by three holographic masks: a blazed axicon, a binary axicon, and a binary Bessel function. We then proceed to test the theory on the down-converted photons using the binary Bessel mask. We experimentally quantify the number of usable OAM modes and confirm the theoretical prediction of a flattening in the OAM spectrum and a concomitant increase in the OAM bandwidth. The results have implications for the control of dimensionality in quantum states.

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Section: Introductionmentioning

confidence: 99%

Two-photon optics of Bessel-Gaussian modes

et al. 2013

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“…[14]. In this case, the AS function is concentrated in a cone of radius 0.49µm −1 and width between ∼ 0.01 − 0.03µm −1 dependent on k s y /k s x .…”

Section: Spdc For a Propagation Invariant Pump With Circular Cylmentioning

confidence: 84%

On-demand generation of propagation-invariant photons with orbital angular momentum

Jerónimo-Moreno

Jáuregui

2014

Phys. Rev. A

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We study the generation of propagation invariant photons with orbital angular momentum by spontaneous parametric down conversion (SPDC) using a Bessel-Gauss pump beam. The angular and conditional angular spectra are calculated for an uniaxial crystal optimized for type I SPDC with standard Gaussian pump beams. It is shown that, as the mean value of the magnitude of the transverse wave vector of the pump beam increases, the emission cone is deformed into two non coaxial cones that touch each other along a line determined by the orientation of the optical axis of the nonlinear crystal. At this location, the conditional spectrum becomes maximal for a pair of photons, one of which is best described by a Gaussian-like photon with a very small transverse wave vector, and the other a Bessel-Gauss photon with a distribution of transverse wave vectors similar in amplitude to that of the incident pump beam. A detailed analysis is then performed of the angular momentum content of SPDC photons by the evaluation of the corresponding transition amplitudes. As a result, we obtain conditions for the generation of heralded single photons which are approximately propagation invariant and have orbital angular momentum. A discussion is given about the difficulties in the interpretation of the results in terms of conservation of optical orbital angular momentum along the vector normal to the crystal surface. The angular spectra and the conditional angular spectra are successfully compared with available experimental data recently reported in the literature.

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“…Light propagating in non-Gaussian spatial modes has gained significant interest in recent history, and has been shown to be a useful tool in a variety of classical, nonlinear, and quantum optics schemes [1][2][3][4][5][6]. For example, making use of modes that exhibit nonzero orbital angular momentum has resulted in dramatic increases in information transfer rates, as well as allowed for the demonstration of high-dimensional entanglement [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

All-optical mode conversion via spatially multimode four-wave mixing

2016

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We experimentally demonstrate the conversion of a Gaussian beam to an approximate Bessel-Gauss mode by making use of a non-collinear four-wave mixing (4WM) process in hot atomic vapor. The presence of a strong, spatially non-Gaussian pump both converts the probe beam into a non-Gaussian mode, and generates a conjugate beam that is in a similar non-Gaussian mode. The resulting probe and conjugate modes are compared to the output of a Gaussian beam incident on an annular aperture that is then spatially filtered according to the phase-matching conditions imposed by the 4WM process. We find that the resulting experimental data agrees well with both numerical simulations, as well as analytical formulae describing the effects of annular apertures on Gaussian modes. These results show that spatially multimode gain platforms may be used as a new method of mode conversion.

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

Cited by 28 publications

References 18 publications

Two-photon optics of Bessel-Gaussian modes

Two-photon optics of Bessel-Gaussian modes

On-demand generation of propagation-invariant photons with orbital angular momentum

All-optical mode conversion via spatially multimode four-wave mixing

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