Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity
Abstract
:1. Introduction
2. Theory
2.1. Hamiltonian
2.2. Linear Perturbation
2.3. Square Field Operators
2.4. Langevin Equations
3. Examples
3.1. Standard Quadratic Interaction (2)
First-Order Perturbation to (13)
3.2. Full Quadratic Interaction (1)
First-Order Perturbation to (16)
3.3. Second Order Perturbation to (13,16)
4. Further Considerations
4.1. Optomechanical Interaction and Drive Terms
4.2. Multi-Mode Fields
4.3. Noise Spectra
4.4. Estimation of
5. Anharmonic Oscillator
5.1. The Husimi–Kano Q-Functions
5.2. Quantum Limited Amplifiers
5.3. Quantum Nondemolition Measurements
6. Conclusions
Supplementary Materials
Acknowledgments
Conflicts of Interest
References
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Khorasani, S. Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity. Photonics 2017, 4, 48. https://doi.org/10.3390/photonics4040048
Khorasani S. Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity. Photonics. 2017; 4(4):48. https://doi.org/10.3390/photonics4040048
Chicago/Turabian StyleKhorasani, Sina. 2017. "Higher-Order Interactions in Quantum Optomechanics: Analytical Solution of Nonlinearity" Photonics 4, no. 4: 48. https://doi.org/10.3390/photonics4040048