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Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points

Author(s): Pick, A; Lin, Z; Jin, W; Rodriguez, Alejandro W

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Abstract: Exceptional points (EPs) were recently predicted to modify the spontaneous emission rate or Purcell factor of narrow-band emitters embedded in resonant cavities. We demonstrate that EPs can have an even greater impact on nonlinear optical processes like frequency conversion by deriving a general formula quantifying radiative emission from a subwavelength emitter in the vicinity of a triply resonant χ(2) cavity that supports an EP near the emission frequency and a bright mode at the second harmonic. We show that the resulting frequency up-conversion process can be enhanced by up to two orders of magnitude compared to nondegenerate scenarios and that, in contrast to the recently predicted spontaneous-emission enhancements, nonlinear EP enhancements can persist even when considering spatial distributions of broadband emitters, provided that the cavity satisfies special nonlinear selection rules. This is demonstrated via a two-dimensional proof-of-concept PhC designed to partially fulfill the various criteria needed to approach the derived bounds on the maximum achievable up-conversion efficiencies. Our predictions suggest an indirect but practically relevant route to experimentally observe the impact of EPs on spontaneous emission, with implications to quantum information science.
Publication Date: 2017
Citation: Pick, A, Lin, Z, Jin, W, Rodriguez, AW. (2017). Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points. Physical Review B, 96 (10.1103/PhysRevB.96.224303
DOI: doi:10.1103/PhysRevB.96.224303
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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