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| Introduction: The photon | |
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| Planck's radiation law and the Einstein coefficients | |
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| Density of field modes in a cavity | |
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| Quantization of the field energy | |
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| Planck's law | |
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| Fluctuations in photon number | |
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| Einstein's A and B coefficients | |
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| Characteristics of the three Einstein transitions | |
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| Optical excitation of two-level atoms | |
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| Theory of optical attenuation | |
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| Population inversion: optical amplification | |
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| The laser | |
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| Radiation pressure | |
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| References | |
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| Quantum mechanics of the atom-radiation interaction | |
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| Time-dependent quantum mechanics | |
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| Form of the interaction Hamiltonian | |
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| Expressions for the Einstein coefficients | |
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| The Dirac delta-function and Fermi's golden rule | |
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| Radiative broadening and linear susceptibility | |
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| Doppler broadening and composite lineshape | |
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| The optical Bloch equations | |
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| Power broadening | |
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| Collision broadening | |
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| Bloch equations and rate equations | |
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| References | |
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| Classical theory of optical fluctuations and coherence | |
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| Models of chaotic light sources | |
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| The lossless optical beam-splitter | |
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| The Mach-Zehnder interferometer | |
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| Degree of first-order coherence | |
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| Interference fringes and frequency spectra | |
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| Intensity fluctuations of chaotic light | |
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| Degree of second-order coherence | |
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| The Brown-Twiss interferometer | |
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| Semiclassical theory of optical detection | |
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| References | |
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| Quantization of the radiation field | |
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| Potential theory for the classical electromagnetic field | |
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| The free classical field | |
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| The quantum-mechanical harmonic oscillator | |
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| Quantization of the electromagnetic field | |
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| Canonical commutation relation | |
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| Pure states and statistical mixtures | |
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| Time development of quantum-optical systems | |
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| Interaction of the quantized field with atoms | |
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| Second quantization of the atomic Hamiltonian | |
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| Photon absorption and emission rates | |
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| The photon intensity operator | |
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| Quantum degrees of first and second-order coherence | |
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| References | |
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| Single-mode quantum optics | |
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| Single-mode field operators | |
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| Number states | |
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| Coherent states | |
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| Chaotic light | |
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| The squeezed vacuum | |
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| Squeezed coherent states | |
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| Beam-splitter input-output relations | |
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| Single-photon input | |
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| Arbitrary single-arm input | |
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| Nonclassical light | |
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| References | |
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| Multimode and continuous-mode quantum optics | |
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| Multimode states | |
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| Continuous-mode field operators | |
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| Number states | |
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| Coherent states | |
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| Chaotic light: photon bunching and antibunching | |
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| The Mach-Zehnder interferometer | |
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| Photon pair states | |
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| Two-photon interference | |
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| Squeezed light | |
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| Quantum theory of direct detection | |
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| Homodyne detection | |
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| The electromagnetic vacuum | |
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| References | |
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| Optical generation, attenuation and amplification | |
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| Single-mode photon rate equations | |
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| Solutions for fixed atomic populations | |
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| Single-mode laser theory | |
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| Fluctuations in laser light | |
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| Travelling-wave attenuation | |
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| Travelling-wave amplification | |
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| Dynamics of the atom-radiation system | |
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| The source-field expression | |
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| Emission by a driven atom | |
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| References | |
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| Resonance fluorescence and light scattering | |
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| The scattering cross-section | |
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| Resonance fluorescence | |
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| Weak incident beam | |
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| Single-atom resonance fluorescence | |
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| Quantum jumps | |
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| Two-photon cascade emission | |
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| The Kramers-Heisenberg formula | |
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| Elastic Rayleigh scattering | |
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| Inelastic Raman scattering | |
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| References | |
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| Nonlinear quantum optics | |
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| The nonlinear susceptibility | |
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| Electromagnetic field quantization in media | |
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| Second-harmonic generation | |
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| Parametric down-conversion | |
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| Parametric amplification | |
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| Self-phase modulation | |
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| Single-beam two-photon absorption | |
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| Conclusion | |
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| References | |
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| Index | |