Getting Started in Quantum Optics (Undergraduate Texts in Physics)

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 x Chapter 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 x 16.5. 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