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Quantum Optics

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ISBN-10: 3540285733

ISBN-13: 9783540285731

Edition: 2nd 2008 (Revised)

Authors: Gerard J. Milburn, D. F. Walls

List price: $99.99
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Quantum Optics gives a comprehensive coverage of developments in quantum optics over the past years. In the early chapters the formalism of quantum optics is elucidated and the main techniques are introduced. These are applied in the later chapters to problems such as squeezed states of light, resonance fluorescence, laser theory, quantum theory of four-wave mixing, quantum non-demolition measurements, Bell's inequalities, and atom optics. Experimental results are used to illustrate the theory throughout. This yields the most comprehensive and up-to-date coverage of experiment and theory in quantum optics in any textbook.
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Book details

List price: $99.99
Edition: 2nd
Copyright year: 2008
Publisher: Springer Berlin / Heidelberg
Publication date: 1/3/2008
Binding: Hardcover
Pages: 425
Size: 6.50" wide x 9.25" long x 1.00" tall
Weight: 1.694
Language: English

Quantisation of the Electromagnetic Field
Field Quantisation
Fock or Number States
Coherent States
Squeezed States
Two-Photon Coherent States
Variance in the Electric Field
Multimode Squeezed States
Phase Properties of the Field
Further Reading
Coherence Properties of the Electromagnetic Field
Field-Correlation Functions
Properties of the Correlation Functions
Correlation Functions and Optical Coherence
First-Order Optical Coherence
Coherent Field
Photon Correlation Measurements
Quantum Mechanical Fields
Squeezed State
Squeezed Vacuum
Phase-Dependent Correlation Functions
Photon Counting Measurements
Classical Theory
Constant Intensity
Fluctuating Intensity-Short-Time Limit
Quantum Mechanical Photon Count Distribution
Coherent Light
Chaotic Light
Photo-Electron Current Fluctuations
Further Reading
Representations of the Electromagnetic Field
Expansion in Number States
Expansion in Coherent States
P Representation
Wigner's Phase-Space Density
Q Function
R Representation
Generalized P Representations
Positive P Representation
Quantum Phenomena in Simple Systems in Nonlinear Optics
Single-Mode Quantum Statistics
Degenerate Parametric Amplifier
Photon Statistics
Wigner Function
Two-Mode Quantum Correlations
Non-degenerate Parametric Amplifier
Quadrature Correlations and the Einstein-Podolsky-Rosen Paradox
Wigner Function
Reduced Density Operator
Quantum Limits to Amplification
Amplitude Squeezed State with Poisson Photon Number Statistics
Stochastic Methods
Master Equation
Equivalent c-Number Equations
Photon Number Representation
P Representation
Properties of Fokker-Planck Equations
Steady State Solutions - Potential Conditions
Time Dependent Solution
Q Representation
Wigner Function
Generalized P Representation
Stochastic Differential Equations
Use of the Positive P Representation
Linear Processes with Constant Diffusion
Two Time Correlation Functions in Quantum Markov Processes
Quantum Regression Theorem
Application to Systems with a P Representation
Stochastic Unravellings
Simulating Quantum Trajectories
Further Reading
Input-Output Formulation of Optical Cavities
Cavity Modes
Linear Systems
Two-Sided Cavity
Two Time Correlation Functions
Spectrum of Squeezing
Parametric Oscillator
Squeezing in the Total Field
Fokker-Planck Equation
Further Reading
Generation and Applications of Squeezed Light
Parametric Oscillation and Second Harmonic Generation
Semi-Classical Steady States and Stability Analysis
Parametric Oscillation
Second Harmonic Generation
Squeezing Spectrum
Parametric Oscillation
Twin Beam Generation and Intensity Correlations
Second Harmonic Generation
Applications of Squeezed Light
Interferometric Detection of Gravitational Radiation
Sub-Shot-Noise Phase Measurements
Quantum Information
Further Reading
Nonlinear Quantum Dissipative Systems
Optical Parametric Oscillator: Complex P Function
Optical Parametric Oscillator: Positive P Function
Quantum Tunnelling Time
Dispersive Optical Bistability
Comment on the Use of the Q and Wigner Representations
Evaluation of Moments for the Complex P function for Parametric Oscillation (9.17)
Evaluation of the Moments for the Complex P Function for Optical Bistability (9.48)
Further Reading
Interaction of Radiation with Atoms
Quantization of the Many-Electron System
Interaction of a Single Two-Level Atom with a Single Mode Field
Spontaneous Emission from a Two-Level Atom
Phase Decay in a Two-Level System
Resonance Fluorescence
Further Reading
Cavity QED
Vacuum Rabi Splitting
Single Photon Sources
Cavity QED with N Atoms
Circuit QED
Further Reading
Quantum Theory of the Laser
Master Equation
Photon Statistics
Spectrum of Intensity Fluctuations
Laser Linewidth
Regularly Pumped Laser
Appendix: Derivation of the Single-Atom Increment
Bells Inequalities in Quantum Optics
The Einstein-Podolsky-Rosen (EPR) Argument
Bell Inequalities and the Aspect Experiment
Violations of Bell's Inequalities Using a Parametric Amplifier Source
One-Photon Interference
Quantum Nondemolition Measurements
Concept of a QND Measurement
Back Action Evasion
Criteria for a QND Measurement
The Beam Splitter
Ideal Quadrature QND Measurements
Experimental Realisation
A Photon Number QND Scheme
Quantum Coherence and Measurement Theory
Quantum Coherence
The Effect of Dissipation
Experimental Observation of Coherence Decay
Quantum Measurement Theory
General Measurement Theory
The Pointer Basis
Examples of Pointer Observables
Model of a Measurement
Conditional States and Quantum Trajectories
Homodyne Measurement of a Cavity Field
Quantum Information
The Qubit
Quantum Key Distribution
Quantum Teleportation
Quantum Computation
Linear Optical Quantum Gates
Single Photon Sources
Further Reading
Ion Traps
Trapping and Cooling
Novel Quantum States
Trapping Multiple Ions
Ion Trap Quantum Information Processing
Light Forces
Radiative Forces in the Semiclassical Limit
Mean Force for a Two-Level Atom Initially at Rest
Friction Force for a Moving Atom
Laser Standing Wave-Doppler Cooling
Dressed State Description of the Dipole Force
Atomic Diffraction by a Standing Wave
Optical Stern-Gerlach Effect
Quantum Chaos
Dynamical Tunnelling
Dynamical Localisation
The Effect of Spontaneous Emission
Further Reading
Bose-Einstein Condensation
Hamiltonian: Binary Collision Model
Mean-Field Theory - Gross-Pitaevskii Equation
Single Mode Approximation
Quantum State of the Condensate
Quantum Phase Diffusion: Collapses and Revivals of the Condensate Phase
Interference of Two Bose-Einstein Condensates and Measurement-Induced Phase
Interference of Two Condensates Initially in Number States
Quantum Tunneling of a Two Component Condensate
Semiclassical Dynamics
Quantum Dynamics
Coherence Properties of Bose-Einstein Condensates
1st Order Coherence
Higher Order Coherence
Further Reading