2019/02/06 by Philip B. Main, Main, Philip B., Peter J. Mosley +3
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Laser-Matter Interactions and Applications #Nonlinear Photonic Systems #Optics (physics.optics) #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.1902.02214
openalex publication_date 2019/02/06 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
The existing widely-accepted theory of photon-pair generation via spontaneous\ndown-conversion (SPDC) in nonlinear optical crystals and waveguides is\nincomplete, as it fails to account for the important physical phenomenon of\nparametric resonances. We demonstrate that exponential gain of classical fields\nin the regime of parametric resonance corresponds to resonant delocalization in\nthe Glauber-Fock model of quantum SPDC. We propose a quantitative measure of\nlocalisation of Floquet eigen-modes as an analogue of classical gain to\nidentify regimes of resonant delocalization. Using this method, we are able to\nreconstruct the classical "Arnold tongues" map of domains of instabilities for\nSPDC. We also predict novel regimes of resonant delocalization in the two-level\nmodel describing quantum frequency conversion processes.\n