Spectral Properties of Transverse Laguerre-Gauss Modes in Parametric Down-Conversion
arXiv:2209.01913 · doi:10.1103/PhysRevA.109.023534
Abstract
The first color photos of the parametric down-conversion (PDC) emission cone illustrate the correlation of longitudinal- and transverse momentum in the process, i.e., wavelength-dependent emission angle of PDC photons. However, current experiments and applications are more conveniently described in terms of discrete mode sets, with the most suitable choice depending on the propagation symmetries of the experimental setting. Remarkably, despite the fact that experiments with PDC sources are becoming ever more demanding, e.g. in terms of brightness or state fidelity, a description of spectral-spatial coupling in parametric downconversion for the case of discrete modal decompositions remains elusive. We present a comprehensive study, in theory and experiment, of the spectral dependence of the transverse Laguerre-Gauss modes in parametric downconversion. Moreover, we show how the spectral and spatial coupling can be harnessed to tune the purity of the well-known orbital angular momentum entanglement. This work has implications for efficient collection of entangled photons in a transverse single mode, quantum imaging, and engineering pure states for high-dimensional quantum information processing.
References in corpus (13)
- Quantum computational advantage using photons
- A Quantum Pulse Gate based on Spectrally Engineered Sum Frequency Generation
- Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion
- Shaping the waveform of entangled photons
- Full-field quantum correlations of spatially entangled photons
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion
- A classical model of spontaneous parametric down-conversion
- Processing entangled photons in high dimensions with a programmable light converter
- Generation of indistinguishable and pure heralded single photons with tunable bandwidth
- Full-mode Characterisation of Correlated Photon Pairs Generated in Spontaneous Downconversion
- Generalized description of the spatio-temporal biphoton State in spontaneous parametric down-conversion
- Quantifying entanglement of parametric down-converted states in all degrees of freedom
Cited by in corpus (6)
- High-dimensional maximally entangled photon pairs in parametric down-conversion
- Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre-Gaussian beams
- Engineering of maximally entangled orbital angular momentum states via path identity
- Entanglement swapping in high dimensions with only linear optics
- Spectrally Resolved Higher Order Photon Statistics of Spontaneous Parametric Down Conversion
- Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion