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Quantum Nonlinear Optics Book

Quantum Nonlinear Optics
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  • Quantum Nonlinear Optics
  • Written by author Eiichi Hanamura
  • Published by Springer-Verlag New York, LLC, November 2010
  • This graduate-level textbook gives an introductory overview of the fundamentals of quantum nonlinear optics. Based on the quantum theory of radiation, Quantum Nonlinear Optics incorporates the exciting developments in novel nonlinear responses of material
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Quantization of the Radiation Field     1
Maxwell's Equations and Hamiltonian Formalism     2
Quantization of the Radiation Field and Heisenberg's Uncertainty Principle     5
Coherent State of Light     8
Squeezed State of Light     15
Quadrature-Phase Squeezed State     16
Antibunching Light and Photon-Number Squeezed State     24
Interaction Between the Electron and the Radiation Field     31
Electron-Radiation Coupled System     31
Spontaneous and Stimulated Emissions     33
Natural Width of a Spectral Line     38
Suppression and Enhancement of the Spontaneous Emission     40
Suppression of the Spontaneous Emission from Cs Atoms     40
Suppression and Enhancement of Spontaneous Emission     41
Laser Cooling of an Atomic System     44
Doppler Cooling     45
Polarization-Gradient Cooling     46
Bose-Einstein Condensation in a Gas of Neutral Atoms     49
Condensates of a Fermionic Gas     52
Statistical Properties of Light     57
The Degree of Coherence and Correlation Functions of Light     58
Coherent State     61
Thermal Radiation     62
Photon-NumberState and Antibunching Characteristics     67
Photon-Count Distribution     68
Laser Oscillation     75
Laser Light and its Statistical Properties     76
Photon Statistics Below the Threshold (A/C < 1)     82
Photon Statistics Above the Threshold (A/C > 1)     84
Phase Fluctuations of Lasers     86
Several Examples of Lasers     90
Ruby Laser     90
Alexandrite and Ti-Sapphire Lasers     94
Other Important Lasers     95
The Road to X-ray Lasers     97
Dynamics of Light     99
Short Light Pulses and Optical Solitons     102
Q-Switching     102
Mode Locking     103
Pulse Compression     105
Optical Solitons     110
Chirped Pulse Amplification     114
Superradiance     117
Experiments of Superradiance     117
Theory of Superradiance     123
Quantum and Propagation Effects on Superradiance     129
Superradiance from Excitons     131
Nonlinear Optical Responses     135
Generation of Sum-Frequency and Second Harmonics     136
Principle of Higher-Harmonic Generation      136
Second-Order Polarizability X[superscript (2)]     138
Conditions to Generate Second Harmonics     143
Optical Parametric Amplification and Oscillation     146
Third-Order Optical Response     148
Four-Wave Mixing - CARS     150
Phase-Conjugated Waves     152
Optical Bistability     154
Excitonic Optical Nonlinearity     157
Two-Photon Absorption Spectrum     165
Two-Photon Resonant Second-Harmonic Generation     169
SHG Spectra in Hexagonal Manganites RMnO[subscript 3]     171
Ferroelectric and Magnetic Domains     179
SHG from the Corundum Structure Cr[subscript 2]O[subscript 3]     183
Nonlinear Optical Responses II     191
Enhanced Higher-Harmonic Generation     192
Attosecond Pulse Generation     197
Attosecond Pulse Bunching     197
Direct Observation of Attosecond Light Bunching     199
Attosecond Control of Electronic Processes by Intense Light Fields     202
Coherent Light Comb and Intense Few-Cycle Laser Fields     205
Quasistationary Regime     207
Transient Regime     209
Impulsive Regime     214
Multistep Coherent Anti-Stokes Raman Scattering in Crystals     217
References     225
Index     231


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