Propagation of Two-Photon Zernike States in Atmospheric Turbulence

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Hauptverfasser: Avetisyan, Hakob, Abgaryan, Vahagn
Format: Preprint
Veröffentlicht: 2026
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author Avetisyan, Hakob
Abgaryan, Vahagn
author_facet Avetisyan, Hakob
Abgaryan, Vahagn
contents We analyze propagation and detection of two-photon states expanded in Zernike modes through atmospheric turbulence using the extended Huygens-Fresnel formalism. For SPDC states prepared with a single Zernike pump mode, we analytically reduce the 8-dimensional continuous propagation integrals to an exact, discrete modal expansion. In the absence of turbulence, Zernike addition enforces conservation of azimuthal index and a strict radial-order bound. Turbulence relaxes these constraints, driving structured azimuthal and radial crosstalk dominated by low-order aberration modes. By explicitly removing the lowest-order terms from the discrete turbulence sum, we demonstrate that partial adaptive optics correcting only up to the sixth radial order is sufficient to heavily suppress this crosstalk and restore near-ideal spatial correlations.
format Preprint
id arxiv_https___arxiv_org_abs_2603_12004
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Propagation of Two-Photon Zernike States in Atmospheric Turbulence
Avetisyan, Hakob
Abgaryan, Vahagn
Quantum Physics
We analyze propagation and detection of two-photon states expanded in Zernike modes through atmospheric turbulence using the extended Huygens-Fresnel formalism. For SPDC states prepared with a single Zernike pump mode, we analytically reduce the 8-dimensional continuous propagation integrals to an exact, discrete modal expansion. In the absence of turbulence, Zernike addition enforces conservation of azimuthal index and a strict radial-order bound. Turbulence relaxes these constraints, driving structured azimuthal and radial crosstalk dominated by low-order aberration modes. By explicitly removing the lowest-order terms from the discrete turbulence sum, we demonstrate that partial adaptive optics correcting only up to the sixth radial order is sufficient to heavily suppress this crosstalk and restore near-ideal spatial correlations.
title Propagation of Two-Photon Zernike States in Atmospheric Turbulence
topic Quantum Physics
url https://arxiv.org/abs/2603.12004