Quantum Optics

7.

Nonlinear Quantum Optics

7.1.

Nonlinear Optical Phenomena

7.1.1.

Nonlinear Susceptibility

7.1.1.1.

Second-Order Processes

7.1.1.2.

Third-Order Processes

7.1.1.3.

Higher-Order Effects

7.1.2.

7.1.2.1.

Momentum Conservation

7.1.2.2.

Birefringent Crystals

7.1.2.3.

Quasi-Phase Matching

7.2.

Second-Order Processes

7.2.1.

Second Harmonic Generation

7.2.1.1.

Frequency Doubling

7.2.1.2.

Conversion Efficiency

7.2.1.3.

Crystal Properties

7.2.2.

Parametric Down-Conversion

7.2.2.1.

Type-I Phase Matching

7.2.2.2.

Type-II Phase Matching

7.2.2.3.

Spontaneous vs Stimulated

7.2.3.

Sum and Difference Frequency Generation

7.2.3.1.

Energy Conservation

7.3.

Third-Order Processes

7.3.1.

Four-Wave Mixing

7.3.1.1.

Degenerate Processes

7.3.1.2.

Non-Degenerate Processes

7.3.1.3.

Phase Matching Conditions

7.3.2.

7.3.2.1.

Self-Phase Modulation

7.3.2.2.

Cross-Phase Modulation

7.3.2.3.

Optical Bistability

7.3.3.

Stimulated Raman Scattering

7.3.3.1.

Vibrational Transitions

7.3.3.2.

Gain Mechanisms

7.4.

Quantum Aspects of Nonlinear Optics

7.4.1.

Parametric Amplification

7.4.1.1.

7.4.1.2.

7.4.2.

Squeezed Light Generation

7.4.2.1.

Parametric Oscillators

7.4.2.2.

Optimization Strategies

7.4.3.

Entangled Photon Generation

7.4.3.1.

7.4.3.2.

Heralded Single Photons

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8. Advanced Topics and Applications