Pub. Date:
Oxford University Press, USA
The Quantum Theory of Light / Edition 3

The Quantum Theory of Light / Edition 3

by Rodney Loudon
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This Third Edition, like its two predecessors, provides a detailed account of the basic theory needed to understand the properties of light and its interactions with atoms, in particular the many nonclassical effects that have now been observed in quantum-optical experiments. The earlier chapters describe the quantum mechanics of various optical processes, leading from the classical representation of the electromagnetic field to the quantum theory of light. The later chapters develop the theoretical descriptions of some of the key experiments in quantum optics. Over half of the material in this Third Edition is new. It includes topics that have come into prominence over the last two decades, such as the beamsplitter theory, squeezed light, two-photon interference, balanced homodyne detection, travelling-wave attenuation and amplification, quantum jumps, and the ranges of nonlinear optical processes important in the generation of nonclassical light. The book is written as a textbook, with the treatment as a whole appropriate for graduate or postgraduate students, while earlier chapters are also suitable for final-year undergraduates. Over 100 problems help to intensify the understanding of the material presented.

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Product Details

ISBN-13: 9780198501763
Publisher: Oxford University Press, USA
Publication date: 11/23/2000
Series: Oxford Science Publications Series
Edition description: REV
Pages: 448
Sales rank: 836,670
Product dimensions: 8.90(w) x 5.90(h) x 1.00(d)

Table of Contents

Introduction: The photon1
1Planck's radiation law and the Einstein coefficients3
1.1Density of field modes in a cavity4
1.2Quantization of the field energy7
1.3Planck's law10
1.4Fluctuations in photon number13
1.5Einstein's A and B coefficients16
1.6Characteristics of the three Einstein transitions19
1.7Optical excitation of two-level atoms23
1.8Theory of optical attenuation27
1.9Population inversion: optical amplification31
1.10The laser35
1.11Radiation pressure40
2Quantum mechanics of the atom-radiation interaction46
2.1Time-dependent quantum mechanics46
2.2Form of the interaction Hamiltonian49
2.3Expressions for the Einstein coefficients52
2.4The Dirac delta-function and Fermi's golden rule57
2.5Radiative broadening and linear susceptibility60
2.6Doppler broadening and composite lineshape65
2.7The optical Bloch equations68
2.8Power broadening72
2.9Collision broadening76
2.10Bloch equations and rate equations79
3Classical theory of optical fluctuations and coherence82
3.1Models of chaotic light sources83
3.2The lossless optical beam-splitter88
3.3The Mach-Zehnder interferometer91
3.4Degree of first-order coherence94
3.5Interference fringes and frequency spectra100
3.6Intensity fluctuations of chaotic light103
3.7Degree of second-order coherence107
3.8The Brown-Twiss interferometer114
3.9Semiclassical theory of optical detection117
4Quantization of the radiation field125
4.1Potential theory for the classical electromagnetic field126
4.2The free classical field130
4.3The quantum-mechanical harmonic oscillator133
4.4Quantization of the electromagnetic field139
4.5Canonical commutation relation144
4.6Pure states and statistical mixtures148
4.7Time development of quantum-optical systems153
4.8Interaction of the quantized field with atoms155
4.9Second quantization of the atomic Hamiltonian162
4.10Photon absorption and emission rates168
4.11The photon intensity operator173
4.12Quantum degrees of first and second-order coherence176
5Single-mode quantum optics180
5.1Single-mode field operators181
5.2Number states184
5.3Coherent states190
5.4Chaotic light199
5.5The squeezed vacuum201
5.6Squeezed coherent states206
5.7Beam-splitter input-output relations212
5.8Single-photon input216
5.9Arbitrary single-arm input221
5.10Nonclassical light227
6Multimode and continuous-mode quantum optics233
6.1Multimode states234
6.2Continuous-mode field operators237
6.3Number states242
6.4Coherent states245
6.5Chaotic light: photon bunching and antibunching248
6.6The Mach-Zehnder interferometer251
6.7Photon pair states253
6.8Two-photon interference260
6.9Squeezed light265
6.10Quantum theory of direct detection271
6.11Homodyne detection278
6.12The electromagnetic vacuum284
7Optical generation, attenuation and amplification288
7.1Single-mode photon rate equations289
7.2Solutions for fixed atomic populations292
7.3Single-mode laser theory297
7.4Fluctuations in laser light304
7.5Travelling-wave attenuation310
7.6Travelling-wave amplification319
7.7Dynamics of the atom-radiation system324
7.8The source-field expression328
7.9Emission by a driven atom331
8Resonance fluorescence and light scattering339
8.1The scattering cross-section340
8.2Resonance fluorescence344
8.3Weak incident beam348
8.4Single-atom resonance fluorescence352
8.5Quantum jumps360
8.6Two-photon cascade emission365
8.7The Kramers-Heisenberg formula371
8.8Elastic Rayleigh scattering374
8.9Inelastic Raman scattering378
9Nonlinear quantum optics383
9.1The nonlinear susceptibility383
9.2Electromagnetic field quantization in media389
9.3Second-harmonic generation393
9.4Parametric down-conversion398
9.5Parametric amplification404
9.6Self-phase modulation411
9.7Single-beam two-photon absorption417

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