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Hong-Ou-Mandel visibility metrology of stochastic phase-matching noise in spontaneous parametric downconversion crystals.

Created on 30 Sep 2026

Authors

Yury T Kamalov, Timur F Kamalov

Published in

The Review of scientific instruments. Volume 97. Issue 9. Sep 01, 2026.

Abstract

We propose a protocol for probing mechanically induced stochastic phase-matching fluctuations in spontaneous parametric downconversion (SPDC) by Hong-Ou-Mandel (HOM) interferometry. The analysis is formulated for collinear type-II SPDC in β-barium borate (BBO). We distinguish the ideal white-jerk limit from the experimentally relevant finite-bandwidth regime. In the ideal limit, the incremental phase variance generated during a photon transit scales as L5; however, for a 5-mm BBO crystal, the transit time is only about 29 ps, so a piezoelectric mechanical drive is quasi-static on this time scale and the L5 law is not assumed as a direct experimental signature. Instead, the measured acceleration power spectral density and the mechanical transfer function are used to calculate the finite-bandwidth phase fluctuations. The connection to HOM visibility is derived through the biphoton joint spectral amplitude: stochastic phase mismatch modifies the phase-matching function, and the ensemble-averaged spectral-exchange overlap determines the coincidence dip. A frequency-independent common phase cancels from this overlap and therefore does not reduce HOM visibility. The resulting formulation provides a directly testable route for phase-stability metrology without requiring the experimentally inaccessible white-noise approximation.

PMID:
42813967
Bibliographic data and abstract were imported from PubMed on 30 Sep 2026.

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