Quantum Optics
1st Edition
Published on 5. June 2008
731 pages
978-0-19-152323-6 (ISBN)
Description
Quantum optics, i.e. the interaction of individual photons with matter, began with the discoveries of Planck and Einstein, but in recent years it has expanded beyond pure physics to become an important driving force for technological innovation. This book serves the broader readership growing out of this development by starting with an elementary description of the underlying physics and then building up a more advanced treatment. The reader is led from the quantum theory of the simple harmonic oscillator to the application of entangled states to quantum information processing. An equally important feature of the text is a strong emphasis on experimental methods. Primary photon detection, heterodyne and homodyne techniques, spontaneous down-conversion, and quantum tomography are discussed, together with important experiments. These experimental and theoretical considerations come together in the chapters describing quantum cryptography, quantum communications, and quantum computing.
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John Garrison | Raymond Chiao
Quantum Optics
Book
06/2008
Oxford University Press
€132.80
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Content
- Intro
- Contents
- Introduction
- 1 The quantum nature of light
- 1.1 The early experiments
- 1.2 Photons
- 1.3 Are photons necessary?
- 1.4 Indivisibility of photons
- 1.5 Spontaneous down-conversion light source
- 1.6 Silicon avalanche-photodiode photon counters
- 1.7 The quantum theory of light
- 1.8 Exercises
- 2 Quantization of cavity modes
- 2.1 Quantization of cavity modes
- 2.2 Normal ordering and zero-point energy
- 2.3 States in quantum theory
- 2.4 Mixed states of the electromagnetic field
- 2.5 Vacuum fluctuations
- 2.6 The Casimir effect
- 2.7 Exercises
- 3 Field quantization
- 3.1 Field quantization in the vacuum
- 3.2 The Heisenberg picture
- 3.3 Field quantization in passive linear media
- 3.4 Electromagnetic angular momentum*
- 3.5 Wave packet quantization*
- 3.6 Photon localizability*
- 3.7 Exercises
- 4 Interaction of light with matter
- 4.1 Semiclassical electrodynamics
- 4.2 Quantum electrodynamics
- 4.3 Quantum Maxwell's equations
- 4.4 Parity and time reversal*
- 4.5 Stationary density operators
- 4.6 Positive- and negative-frequency parts for interacting fields
- 4.7 Multi-time correlation functions
- 4.8 The interaction picture
- 4.9 Interaction of light with atoms
- 4.10 Exercises
- 5 Coherent states
- 5.1 Quasiclassical states for radiation oscillators
- 5.2 Sources of coherent states
- 5.3 Experimental evidence for Poissonian statistics
- 5.4 Properties of coherent states
- 5.5 Multimode coherent states
- 5.6 Phase space description of quantum optics
- 5.7 Gaussian states*
- 5.8 Exercises
- 6 Entangled states
- 6.1 Einstein-Podolsky-Rosen states
- 6.2 Schrödinger's concept of entangled states
- 6.3 Extensions of the notion of entanglement
- 6.4 Entanglement for distinguishable particles
- 6.5 Entanglement for identical particles
- 6.6 Entanglement for photons
- 6.7 Exercises
- 7 Paraxial quantum optics
- 7.1 Classical paraxial optics
- 7.2 Paraxial states
- 7.3 The slowly-varying envelope operator
- 7.4 Gaussian beams and pulses
- 7.5 The paraxial expansion*
- 7.6 Paraxial wave packets*
- 7.7 Angular momentum*
- 7.8 Approximate photon localizability*
- 7.9 Exercises
- 8 Linear optical devices
- 8.1 Classical scattering
- 8.2 Quantum scattering
- 8.3 Paraxial optical elements
- 8.4 The beam splitter
- 8.5 Y-junctions
- 8.6 Isolators and circulators
- 8.7 Stops
- 8.8 Exercises
- 9 Photon detection
- 9.1 Primary photon detection
- 9.2 Postdetection signal processing
- 9.3 Heterodyne and homodyne detection
- 9.4 Exercises
- 10 Experiments in linear optics
- 10.1 Single-photon interference
- 10.2 Two-photon interference
- 10.3 Single-photon interference revisited*
- 10.4 Tunneling time measurements*
- 10.5 The meaning of causality in quantum optics*
- 10.6 Interaction-free measurements*
- 10.7 Exercises
- 11 Coherent interaction of light with atoms
- 11.1 Resonant wave approximation
- 11.2 Spontaneous emission II
- 11.3 The semiclassical limit
- 11.4 Exercises
- 12 Cavity quantum electrodynamics
- 12.1 The Jaynes-Cummings model
- 12.2 Collapses and revivals
- 12.3 The micromaser
- 12.4 Exercises
- 13 Nonlinear quantum optics
- 13.1 The atomic polarization
- 13.2 Weakly nonlinear media
- 13.3 Three-photon interactions
- 13.4 Four-photon interactions
- 13.5 Exercises
- 14 Quantum noise and dissipation
- 14.1 The world as sample and environment
- 14.2 Photons in a lossy cavity
- 14.3 The input-output method
- 14.4 Noise and dissipation for atoms
- 14.5 Incoherent pumping
- 14.6 The fluctuation dissipation theorem*
- 14.7 Quantum regression*
- 14.8 Photon bunching*
- 14.9 Resonance fluorescence*
- 14.10 Exercises
- 15 Nonclassical states of light
- 15.1 Squeezed states
- 15.2 Theory of squeezed-light generation*
- 15.3 Experimental squeezed-light generation
- 15.4 Number states
- 15.5 Exercises
- 16 Linear optical amplifiers*
- 16.1 General properties of linear amplifiers
- 16.2 Regenerative amplifiers
- 16.3 Traveling-wave amplifiers
- 16.4 General description of linear amplifiers
- 16.5 Noise limits for linear amplifiers
- 16.6 Exercises
- 17 Quantum tomography
- 17.1 Classical tomography
- 17.2 Optical homodyne tomography
- 17.3 Experiments in optical homodyne tomography
- 17.4 Exercises
- 18 The master equation
- 18.1 Reduced density operators
- 18.2 The environment picture
- 18.3 Averaging over the environment
- 18.4 Examples of the master equation
- 18.5 Phase space methods
- 18.6 The Lindblad form of the master equation*
- 18.7 Quantum jumps
- 18.8 Exercises
- 19 Bell's theorem and its optical tests
- 19.1 The Einstein-Podolsky-Rosen paradox
- 19.2 The nature of randomness in the quantum world
- 19.3 Local realism
- 19.4 Bell's theorem
- 19.5 Quantum theory versus local realism
- 19.6 Comparisons with experiments
- 19.7 Exercises
- 20 Quantum information
- 20.1 Telecommunications
- 20.2 Quantum cloning
- 20.3 Quantum cryptography
- 20.4 Entanglement as a quantum resource
- 20.5 Quantum computing
- 20.6 Exercises
- Appendix A: Mathematics
- A.1 Vector analysis
- A.2 General vector spaces
- A.3 Hilbert spaces
- A.4 Fourier transforms
- A.5 Laplace transforms
- A.6 Functional analysis
- A.7 Improper functions
- A.8 Probability and random variables
- Appendix B: Classical electrodynamics
- B.1 Maxwell's equations
- B.2 Electrodynamics in the frequency domain
- B.3 Wave equations
- B.4 Planar cavity
- B.5 Macroscopic Maxwell equations
- Appendix C: Quantum theory
- C.1 Dirac's bra and ket notation
- C.2 Physical interpretation
- C.3 Useful results for operators
- C.4 Canonical commutation relations
- C.5 Angular momentum in quantum mechanics
- C.6 Minimal coupling
- References
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- X
- Y
- Z
