Super-resolution enhancement in bi-photon spatial mode demultiplexin
- URL: http://arxiv.org/abs/2212.10468v1
- Date: Tue, 20 Dec 2022 17:40:46 GMT
- Title: Super-resolution enhancement in bi-photon spatial mode demultiplexin
- Authors: Florence Grenapin, Dilip Paneru, Alessio D'Errico, Vincenzo Grillo,
Gerd Leuchs, Ebrahim Karimi
- Abstract summary: Imaging systems measuring intensity in the far field succumb to Rayleigh's curse, a resolution limitation dictated by the finite aperture of the optical system.
Many proof-of-principle and some two-dimensional imaging experiments have shown that, by using spatial mode demultiplexing (SPADE), the field information collected is maximal.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Imaging systems measuring intensity in the far field succumb to Rayleigh's
curse, a resolution limitation dictated by the finite aperture of the optical
system. Many proof-of-principle and some two-dimensional imaging experiments
have shown that, by using spatial mode demultiplexing (SPADE), the field
information collected is maximal, and thus, the resolution increases beyond the
Rayleigh criterion. Hitherto, the SPADE approaches are based on resolving the
lateral splitting of a Gaussian wavefunction. Here, we consider the case in
which the light field originates from a bi-photon source, i.e. spontaneous
parametric down-conversion, and a horizontal separation is introduced in one of
the two photons. We show that a separation induced in the signal photon arm can
be super-resolved using coincidence measurements after projecting both photons
on Hermite-Gauss modes. Remarkably the Fisher information associated with the
measurement is enhanced compared to the ordinary SPADE techniques by
$\sqrt{K}$, where $K$ is the Schmidt number of the two-photon state that
quantifies the amount of spatial entanglement between the two photons.
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