Getting Started in Quantum Optics
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Chapter 1: Canonical Quantization x
1.1. Hamiltonian Mechanics x
1.2. Canonical Quantization
1.3. Commutation Relations
Chapter 2: The Harmonic Oscillator x
2.1. Classical Harmonic Oscillator x
2.2. Quantum Harmonic Oscillator x
2.3. Dirac Formalism x
2.4. Number Operator x
2.5. Annihilation Operator x
2.6. Creation Operator x
2.6. Creating Excited States from the Ground State x
2.7. Expectation Values x
2.8. Heisenberg Uncertainty Relation x
Chapter 3: Canonical Quantization of Light x
3.1. Single Mode of Radiation x
3.2. Quadrature Components x
3.3. Classical Hamiltonian x
3.4. Canonical Quantization x
3.5. Time-Dependence x
3.5. Quadrature Operators x
3.6. Physical Observables x
3.7. Photons x
Chapter 4: Vacuum Fluctuations x
4.1. Photon Number x
4.2. Electric Field of Fock State x
4.3. Vacuum Fluctuations x
4.4. Experimental Evidence of Vacuum Fluctuations x
Chapter 5: Single Photon State x
5.1. Single Photon State x
5.2. Photodetection x
5.3. Single Photon Sources and Detectors x
Chapter 6: Single Photon on a Beam Splitter x
6.1. Classical Beam Splitter x
6.2. Quantum Beam Splitter x
6.3. Input/Output Transformation x
6.4. Single Photon on a Beam Splitter x
6.5. Coincident Measurements x
6.6. Correlation Function x
6.7. Entangled State x
6.8. Hanbury Brown-Twiss Experiment x
Chapter 7: Single Photon in an Interferometer x
7.1. Classical Light Interference x
7.2. Quantum Light Interference x
7.3. Wave-particle Duality x
Chapter 8: Multimode Quantized Radiation x
8.1. Multimode Radiation x
8.2. Quantized Multimode Radiation x
8.3. Vacuum Energy x
8.4. Single Photon Wavepacket x
8.5. Spontaneous Emission x
Chapter 9: Coherent States x
9.1. Coherent States x
9.2. Coherent States as a Superposition of Fock States x
9.3. Photon Number x
9.4. Poisson Distribution x
9.5. Time-dependence of Coherent States x
9.6. Electric Field x
9.7. Phasor Representation x
9.8. Quadratures x
9.9. Number-phase Uncertainty Relation x
Chapter 10: Coherent State on a Beam Splitter x
10.1. Coherent State on a Beam Splitter x
10.2. Coincidence Measurements x
Chapter 11: Incoherent States x
11.1. Incoherent States x
11.2. Average Electric Field x
11.3. Average Photon Number x
11.4. Photon Number Distribution x
11.5. Comparison of Different Types of Light x
11.6. Uncertainty x
11.7. Correlations x
Chapter 12: Homodyne and Heterodyne Detection x
12.1. Homodyne Detection x
12.2. Heterodyne Detection x
Chapter 13: Coherent State in an Interferometer x
13.1. Coherent Light Interference x
13.2. Coincident Detection x
13.3. Coherent homodyne signal in an interferometer x
13.4. Uncertainty in Homodyne Signal x
Chapter 14: Squeezed Light x
14.1. Classical Description of Non-linear Optics x
14.2. Quantum Description x
14.3. Squeezing Operator x
14.4 Electric Field x
14.5. Quadratures x
14.6. Power in the Beam x
14.7. Fragility of Squeezing x 14.8. Squeezed Vacuum xChapter 15: Squeezed Light in an Interferometer x
15.1. Squeezed Light in an Interferometer x
15.2. Laser Interferometer Gravitational-wave Observatory (LIGO) x
Chapter 16: Heisenberg Limit x
16.1. Heisenberg Limit x
16.2. Phase Shifter x
16.3. NOON State x
16.4. Super-sensitivity x16.5. Super-resolution and Quantum Lithography x
16.6. Producing NOON States x
Chapter 17: Quantum Imaging x
17.1. Non-local Interference x
17.2. Ghost Imaging x
17.3. Quantum Illumination x
17.4. Absolute Photodetector Calibration x
17.5. Interaction-free Measurement x
Chapter 18: Light-matter Interaction x
18.1. Jaynes-Cummings Hamiltonian x
18.2. Spontaneous Emission x
18.3. Rabi Oscillations x
18.4. Making Large x
Further Reading x