Generalized description of the spatio-temporal biphoton State in spontaneous parametric down-conversion
arXiv:2208.09423 · doi:10.1103/PhysRevA.106.063711
Abstract
Spontaneous parametric down-conversion (SPDC) is a widely used source for photonic entanglement. Years of focused research have led to a solid understanding of the process, but a cohesive analytical description of the paraxial biphoton state has yet to be achieved. We derive a general expression for the spatio-temporal biphoton state that applies universally across common experimental settings and correctly describes the non-separability of spatial and spectral modes. We formulate a criterion on how to decrease the coupling of the spatial from the spectral degree of freedom by taking into account the Gouy phase of interacting beams. This work provides new insights into the role of the Gouy phase in SPDC, and also into the preparation of engineered entangled states for multidimensional quantum information processing.
References in corpus (10)
- Quantum computational advantage using photons
- Chip-based photon quantum state sources using nonlinear optics
- A Quantum Pulse Gate based on Spectrally Engineered Sum Frequency Generation
- Shaping the waveform of entangled photons
- Continuous variable quantum computation with spatial degrees of freedom of photons
- Spectral decomposition of entangled photons with an arbitrary pump
- Counter-propagating photon pair generation in a nonlinear waveguide
- Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion
- Time-frequency as quantum continuous variables
- Gouy phase of type-I SPDC-generated biphotons
Cited by in corpus (10)
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- Spectral Properties of Transverse Laguerre-Gauss Modes in Parametric Down-Conversion
- Maximizing the Validity of the Gaussian Approximation for the biphoton State from Parametric Downconversion
- 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
- Spatial and temporal characteristics of spontaneous parametric down-conversion with varying focal planes of interacting beams
- Engineering of maximally entangled orbital angular momentum states via path identity
- Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion
- Spatial correlations in four-wave mixing with structured light
- Entanglement swapping in high dimensions with only linear optics