9 The Degenerate Parametric Oscillator Ⅰ: Squeezed States 9.1 Introduction 9.2 Degenerate Parametric Amplification and Squeezed States 9.2.1 Degenerate Parametric Amplification Without Pump Depletion 9.2.2 Quantum Fluctuations and Squeezed States 9.2.3 The Degenerate Parametric Oscjllator 9.2.4 Master Equation for the Degenerate Parametric Oscillator 9.2.5 Cavity Output Fields 9.3 The Spectrum of Squeezing 9.3.1 Intracavity Field Fluctuations 9.3.2 Defirution of the Spectrum of Squeezing 9.3.3 Homodyne Detection: The Source-Field Spectrum of Squeezing 9.3.4 The Source-Field Spectrum of Squeezing with Unit Efficiency 9.3.5 Free-Field Coritributions 9.3.6 Vacuum Fluctuations 9.3.7 Squeezing in the Wigner Representation: A Comment on Interpretation 10 The Degenerate Parametric Oscillator Ⅱ： Phase-Space Analysis in the Small-Noise Limit 10.1 Phase-Space Formalism for the Degenerate Parametric Oscillator 10.1.1 Phase-Space Equation of Motion in the P Representation 10.1.2 Phase-Space Equations of Motion in the Q and Wigner R,epresentations 10.2 Squeezing: Quantum Fluctuations in the Small-Noise Limit …… 11 The Positive P Representation 12 The Degenerate Parametric Oscillator Ⅲ: Phase-Space Analysis Outside the Small-Noise Limit . 13 Cavity QED I: Simple Calculations 14 Many Atoms in a Cavity Ⅰ: Macroscopic Theory 15 Many Atoms in a Cavity Ⅱ: Quantum Fluctuations in the Small-Noise Limit 16 Cavity QED II: Quantum Fluctuations 17 Quantum Trajectories Ⅰ: Background and Interpretation 18 Quantum Tajectories Ⅱ: The Degenerate Parametric Oscillator 19 Quantum Trajectories Ⅲ: More Examples References Index
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