Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Jordan, Kyle M.; Abrahao, Raphael A.; Lundeen, Jeff S.

doi:10.1103/physreva.106.063715

Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements

Journal Article · Thu Dec 22 00:00:00 EST 2022 · Physical Review A

DOI:https://doi.org/10.1103/physreva.106.063715· OSTI ID:1907823

^[1]; ^[2]; Lundeen, Jeff S. ^[3]

Univ. of Ottawa, ON (Canada)
Univ. of Ottawa, ON (Canada); Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of Ottawa, ON (Canada); National Research Council of Canada, Ottawa, ON (Canada)

We examine the precision limits of Hong-Ou-Mandel (HOM) timing measurements, as well as precision limits applying to generalized two-photon measurements. As a special case, we consider the use of two-photon measurements using photons with variable bandwidths and frequency correlations. When the photon bandwidths are not equal, maximizing the measurement precision involves a trade-off between high interference visibility and strong frequency anticorrelations, with the optimal precision occurring when the photons share non-maximal frequency anticorrelations. We show that a generalized measurement has precision limits that are qualitatively similar to those of the HOM measurement whenever the generalized measurement is insensitive to the net delay of both photons. Finally, by examining the performance of states with more general frequency distributions, our analysis allows for engineering of the joint spectral amplitude for use in realistic situations, in which both photons may not have ideal spectral properties.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: Canada First Research Excellence Fund; Natural Sciences and Engineering Research Council; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012704

OSTI ID:: 1907823

Report Number(s):: BNL-223855-2023-JAAM

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 6 Vol. 106; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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