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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Difference-frequency generation with quantum-limited efficiency in triply-resonant nonlinear cavities
Ian B Burgess1, Alejandro W Rodriguez, Murray W McCutcheon
1School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA. ibburges@fas.harvard.edu
Optics Express
|May 26, 2009
Summary
We explored nonlinear difference frequency generation (DFG) in resonant cavities. Optimal quantum-limited efficiency is achievable with a critical power relationship, enabling monostable conversion across a wide parameter range.
Area of Science:
- Nonlinear optics
- Quantum optics
- Cavity optomechanics
Background:
- Second-order nonlinear optical processes are crucial for frequency conversion.
- Triply resonant cavities enhance nonlinear interactions by confining light.
- Understanding conversion efficiency limits and operational regimes is key for device development.
Purpose of the Study:
- To theoretically investigate second-order nonlinear difference frequency generation (DFG) in triply resonant cavities.
- To identify conditions for achieving optimal quantum-limited conversion efficiency.
- To explore the stability and operational regimes (monostable vs. bistable) of DFG processes.
Main Methods:
- Utilized coupled-mode theory as the theoretical framework.
- Analyzed the relationship between pump and idler powers for optimal efficiency.
- Investigated parameter ranges for monostable and bistable conversion behavior.
Main Results:
- Demonstrated that optimal quantum-limited conversion efficiency is achievable at any pump power by satisfying a critical power relationship between pump and idler frequencies.
- Showcased a broad parameter range where all triply-resonant DFG processes exhibit monostable conversion.
- Identified a geometry-dependent region exhibiting bistable conversion behavior.
Conclusions:
- The study provides a theoretical framework for optimizing nonlinear DFG in resonant cavities.
- Achieving quantum-limited efficiency is possible under specific power conditions, broadening DFG applications.
- The existence of both monostable and bistable regimes offers opportunities for novel optical device functionalities.
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