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9780198501770

The Quantum Theory of Light

by
  • ISBN13:

    9780198501770

  • ISBN10:

    0198501773

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2000-11-23
  • Publisher: Oxford University Press

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Summary

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 earlierchapters 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 thematerial 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 ofnonliner 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 tointensify the understanding of the material presented.

Author Biography

Rodney Loudon is Professor of Theoretical Physics at the University of Essex.

Table of Contents

Introduction: The photon 1(2)
Planck's radiation law and the Einstein coefficients
3(43)
Density of field modes in a cavity
4(3)
Quantization of the field energy
7(3)
Planck's law
10(3)
Fluctuations in photon number
13(3)
Einstein's A and B coefficients
16(3)
Characteristics of the three Einstein transitions
19(4)
Optical excitation of two-level atoms
23(4)
Theory of optical attenuation
27(4)
Population inversion: optical amplification
31(4)
The laser
35(5)
Radiation pressure
40(6)
References
44(2)
Quantum mechanics of the atom--radiation interaction
46(36)
Time-dependent quantum mechanics
46(3)
Form of the interaction Hamiltonian
49(3)
Expressions for the Einstein coefficients
52(5)
The Dirac delta-function and Fermi's golden rule
57(3)
Radiative broadening and linear susceptibility
60(5)
Doppler broadening and composite lineshape
65(3)
The optical Bloch equations
68(4)
Power broadening
72(4)
Collision broadening
76(3)
Bloch equations and rate equations
79(3)
References
81(1)
Classical theory of optical fluctuations and coherence
82(43)
Model of chaotic light sources
83(5)
The lossless optical beam-splitter
88(3)
The Mach-Zehnder interferometer
91(3)
Degree of first-order coherence
94(6)
Interference fringes and frequency spectra
100(3)
Intensity fluctuations of chaotic light
103(4)
Degree of second-order coherence
107(7)
The Brown-Twiss interferometer
114(3)
Semiclassical thery of optical detection
117(8)
References
123(2)
Quantization of the radiation field
125(55)
Potential theory for the classical electromagnetic field
126(4)
The free classical field
130(3)
The quantum-mechanical harmonic oscillator
133(6)
Quantization of the electromagnetic field
139(5)
Canonical commutation relation
144(4)
Pure states and statistical mixtures
148(5)
Time development of quantum-optical systems
153(2)
Interaction of the quantized field with atoms
155(7)
Second quantization of the atomic Hamiltonian
162(6)
Photon absorption and emission rates
168(5)
The photon intensity operator
173(3)
Quantum degrees of first and second-order coherence
176(4)
References
178(2)
Single-mode quantum optics
180(53)
Single-mode field operators
181(3)
Number states
184(6)
Coherent states
190(9)
Chaotic light
199(2)
The squeezed vacuum
201(5)
Squeezed coherent states
206(6)
Beam-splitter input-output relations
212(4)
Single-photon input
216(5)
Arbitrary single-arm input
221(6)
Nonclassical light
227(6)
References
231(2)
Multimode and continuous-mode quantum optics
233(55)
Multimode states
234(3)
Continuous-mode field operators
237(5)
Number states
242(3)
Coherent states
245(3)
Chaotic light: photon bunching and antibunching
248(3)
The Mach-Zehnder interferometer
251(2)
Photon pair states
253(7)
Two-photon interference
260(5)
Squeezed light
265(6)
Quantum theory of direct detection
271(7)
Homodyne detection
278(6)
The electromagnetic vacuum
284(4)
References
286(2)
Optical generation, attenuation and amplification
288(51)
Single-mode photon rate equations
289(3)
Solutions for fixed atomic populations
292(5)
Single-mode laser theory
297(7)
Fluctuations in laser light
304(6)
Travelling-wave attenuation
310(9)
Travelling-wave amplification
319(5)
Dynamics of the atom-radiation system
324(4)
The source-field expression
328(3)
Emission by a driven atom
331(8)
References
337(2)
Resonance fluorescence and light scattering
339(44)
The scattering cross-section
340(4)
Resonance fluorescence
344(4)
Weak incident beam
348(4)
Single-atom resonance fluorescence
352(8)
Quantum jumps
360(5)
Two-photon cascade emission
365(6)
The Kramers-Heisenberg formula
371(3)
Elastic Rayleigh scattering
374(4)
Inelastic Raman scattering
378(5)
References
381(2)
Nonlinear quantum optics
383(46)
The nonlinear susceptibility
383(6)
Electromagnetic field quantization in media
389(4)
Second-harmonic generation
393(5)
Parametric down-conversion
398(6)
Parametric amplification
404(7)
Self-phase modulation
411(6)
Single-beam two-photon absorption
417(8)
Conclusion
425(4)
References
426(3)
Index 429

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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