Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves

Brito, F. C. V. de; Vieira, Carlos H. S.; Paz, I. G. da; Araujo, Jonas B.; Sampaio, Marcos

doi:10.1103/physreva.103.033707

Cited by 2 publications

(1 citation statement)

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“…It can be described by an effective wavefunction [40,42,52] in the position space whose parameters encode phase space entanglement, and a propagator can be derived [40,51] to evolve the double-Gaussian biphoton wavefunction in time. Analytical expressions for the time evolution and intensity at the detection screen can be obtained by considering gaussian slit apertures [45]. From the four wavefunctions describing the biphoton diffraction through a double-slit (namely the two photons passing either through the same or different slits), we extract the Gouy phase, a geometric phase that arises from transverse spatial confinement.…”

Section: Biphotons Double-slit Interferometrymentioning

confidence: 99%

Biphoton phase-space correlations from Gouy-phase measurements using double slits

de Brito,

da Paz,

Araujo

et al. 2021

Preprint

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Quantum correlations encoded in photonic Laguerre-Gaussian modes were shown to be related to the Gouy phase shifts (D. Kawase et al., Phys. Rev. Lett. 101, 050501 (2008)) allowing for a non-destructive manipulation of photonic quantum states. In this work we exploit the relation between phase space correlations of biphotons produced by spontaneously parametric down conversion (SPDC) as encoded in the logarithmic negativity (LN) and the Gouy phase as they are diffracted through an asymmetrical double slit setup. Using an analytical approach based on a double-gaussian approximation for type-I SPDC biphotons, we show that measurements of Gouy phase differences provide information on their phase space entanglement variation, governed by the physical parameters of the experiment and expressed by the LN via covariance matrix elements.

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