2018/01/22 by M. D. Tokman, Zhongqu Long, Tokman, Mikhail +12
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mechanical and Optical Resonators #Optics (physics.optics) #Photonic and Optical Devices #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1801.07227
openalex publication_date 2018/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Ultracompact nonlinear optical devices utilizing two-dimensional (2D)\nmaterials and nanostructures are emerging as important elements of photonic\ncircuits. Integration of the nonlinear material into a subwavelength cavity or\nwaveguide leads to a strong Purcell enhancement of the nonlinear processes and\ncompensates for a small interaction volume. The generic feature of such devices\nwhich makes them especially challenging for analysis is strong dissipation of\nboth the nonlinear polarization and highly confined modes of a subwavelength\ncavity. Here we solve a quantum-electrodynamic problem of the spontaneous and\nstimulated parametric down-conversion in a nonlinear quasi-2D waveguide or\ncavity. We develop a rigorous Heisenberg-Langevin approach which includes\ndissipation and fluctuations in the electron ensemble and in the\nelectromagnetic field of a cavity on equal footing. Within a relatively simple\nmodel, we take into account the nonlinear coupling of the quantized cavity\nmodes, their interaction with a dissipative reservoir and the outside world,\namplification of thermal noise and zero-point fluctuations of the\nelectromagnetic field, and other relevant effects. We derive closed-form\nanalytic results for relevant quantities such as the spontaneous parametric\nsignal power and the threshold for parametric instability. We find a strong\nreduction in the parametric instability threshold for 2D nonlinear materials in\na subwavelength cavity and provide a comparison with conventional nonlinear\nphotonic devices.\n