Azimuthal entanglement and multichannel Schmidt-type decomposition of non-collinear biphotons

Abstract

Purely azimuthal entanglement is analyzed for noncollinear frequency-degenerate biphoton states. The degree of azimuthal entanglement is found to be very high, with the Schmidt parameter $K$ on the order of the ratio of the pump waist to its wavelength. A scheme is suggested for partial realization of this high entanglement resource in the form of a multichannel Schmidt-type decomposition.

References in corpus (6)

• Hyperentanglement of two photons in three degrees of freedom
• Multi-path entanglement of two photons
• Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
• Modelling and optimization of photon pair sources based on spontaneous parametric down-conversion
• Determining the dimensionality of bipartite orbital-angular-momentum entanglement using multi-sector phase masks
• Experimental observation of double-peak structure of coincidence spectra in ultra-fast Spontaneous Parametric Down Conversion

Cited by in corpus (8)

• Orbital angular momentum modes of high-gain parametric down-conversion
• Programmable coherent linear quantum operations with high-dimensional optical spatial modes
• Experimental reconstruction of spatial Schmidt modes for a wide-field SU(1,1) interferometer
• Noncollinear biphoton states: enormously high resource of azimuthal entanglement as it's seen in Cartesian variables
• Lorentz-invariant mass and entanglement of biphoton states
• Azimuthal eigenmodes at strongly non-degenerate parametric down-conversion
• Schmidt-mode analysis of quadrature entanglement in superpositions of two-mode multiphoton states
• Schmidt decomposition and multivariate statistical analysis