Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials
Ultracompact nonlinear optical devices utilizing two-dimensional (2D) materials and nanostructures are emerging as important elements of photonic circuits. Integration of the nonlinear material into a subwavelength cavity or waveguide leads to a strong Purcell enhancement of the nonlinear processes...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2019-03-01
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| Series: | APL Photonics |
| Online Access: | http://dx.doi.org/10.1063/1.5044539 |
| _version_ | 1798043795306053632 |
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| author | Mikhail Tokman Zhongqu Long Sultan AlMutairi Yongrui Wang Valery Vdovin Mikhail Belkin Alexey Belyanin |
| author_facet | Mikhail Tokman Zhongqu Long Sultan AlMutairi Yongrui Wang Valery Vdovin Mikhail Belkin Alexey Belyanin |
| author_sort | Mikhail Tokman |
| collection | DOAJ |
| description | Ultracompact nonlinear optical devices utilizing two-dimensional (2D) materials and nanostructures are emerging as important elements of photonic circuits. Integration of the nonlinear material into a subwavelength cavity or waveguide leads to a strong Purcell enhancement of the nonlinear processes and compensates for a small interaction volume. The generic feature of such devices which makes them especially challenging for analysis is strong dissipation of both the nonlinear polarization and highly confined modes of a subwavelength cavity. Here we solve a quantum-electrodynamic problem of the spontaneous and stimulated parametric down-conversion in a nonlinear quasi-2D waveguide or cavity. We develop a rigorous Heisenberg-Langevin approach which includes dissipation and fluctuations in the electron ensemble and in the electromagnetic field of a cavity on equal footing. Within a relatively simple model, we take into account the nonlinear coupling of the quantized cavity modes, their interaction with a dissipative reservoir and the outside world, amplification of thermal noise and zero-point fluctuations of the electromagnetic field, and other relevant effects. We derive closed-form analytic results for relevant quantities such as the spontaneous parametric signal power and the threshold for parametric instability. We find a strong reduction in the parametric instability threshold for 2D nonlinear materials in a subwavelength cavity and provide a comparison with conventional nonlinear photonic devices. |
| first_indexed | 2024-04-11T22:53:59Z |
| format | Article |
| id | doaj.art-ddc7f7d69557473e91e3a16d4f4effc8 |
| institution | Directory Open Access Journal |
| issn | 2378-0967 |
| language | English |
| last_indexed | 2024-04-11T22:53:59Z |
| publishDate | 2019-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Photonics |
| spelling | doaj.art-ddc7f7d69557473e91e3a16d4f4effc82022-12-22T03:58:29ZengAIP Publishing LLCAPL Photonics2378-09672019-03-0143034403034403-810.1063/1.5044539005895APPPurcell enhancement of the parametric down-conversion in two-dimensional nonlinear materialsMikhail Tokman0Zhongqu Long1Sultan AlMutairi2Yongrui Wang3Valery Vdovin4Mikhail Belkin5Alexey Belyanin6Institute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaDepartment of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USADepartment of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USADepartment of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USAInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaDepartment of Electrical and Computer Engineering, University of Texas at Austin, Austin, Texas 78712, USADepartment of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USAUltracompact nonlinear optical devices utilizing two-dimensional (2D) materials and nanostructures are emerging as important elements of photonic circuits. Integration of the nonlinear material into a subwavelength cavity or waveguide leads to a strong Purcell enhancement of the nonlinear processes and compensates for a small interaction volume. The generic feature of such devices which makes them especially challenging for analysis is strong dissipation of both the nonlinear polarization and highly confined modes of a subwavelength cavity. Here we solve a quantum-electrodynamic problem of the spontaneous and stimulated parametric down-conversion in a nonlinear quasi-2D waveguide or cavity. We develop a rigorous Heisenberg-Langevin approach which includes dissipation and fluctuations in the electron ensemble and in the electromagnetic field of a cavity on equal footing. Within a relatively simple model, we take into account the nonlinear coupling of the quantized cavity modes, their interaction with a dissipative reservoir and the outside world, amplification of thermal noise and zero-point fluctuations of the electromagnetic field, and other relevant effects. We derive closed-form analytic results for relevant quantities such as the spontaneous parametric signal power and the threshold for parametric instability. We find a strong reduction in the parametric instability threshold for 2D nonlinear materials in a subwavelength cavity and provide a comparison with conventional nonlinear photonic devices.http://dx.doi.org/10.1063/1.5044539 |
| spellingShingle | Mikhail Tokman Zhongqu Long Sultan AlMutairi Yongrui Wang Valery Vdovin Mikhail Belkin Alexey Belyanin Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials APL Photonics |
| title | Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials |
| title_full | Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials |
| title_fullStr | Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials |
| title_full_unstemmed | Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials |
| title_short | Purcell enhancement of the parametric down-conversion in two-dimensional nonlinear materials |
| title_sort | purcell enhancement of the parametric down conversion in two dimensional nonlinear materials |
| url | http://dx.doi.org/10.1063/1.5044539 |
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