Elements of Quantum Optics

ISBN-10: 3540742093

ISBN-13: 9783540742098

Edition: 4th 2007

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Description: Elements of Quantum Optics gives a self-contained and broad coverage of the basic elements necessary to understand and carry out research in laser physics and quantum optics, including a review of basic quantum mechanics and pedagogical introductions to system-reservoir interactions and to second quantization. The text reveals the close connection between many seemingly unrelated topics, such as probe absorption, four-wave mixing, optical instabilities, resonance fluorescence and squeezing. It also comprises discussions of cavity quantum electrodynamics and atom optics. The 4th edition includes a new chapter on quantum entanglement and quantum information, as well as added discussions of the quantum beam splitter, electromagnetically induced transparency, slow light, and the input-output formalism needed to understand many problems in quantum optics. It also provides an expanded treatment of the minimum-coupling Hamiltonian and a simple derivation of the Gross-Pitaevskii equation, an important gateway to research in ultracold atoms and molecules.

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Book details

Edition: 4th
Copyright year: 2007
Publisher: Springer
Publication date: 9/28/2007
Binding: Hardcover
Pages: 507
Size: 6.10" wide x 9.25" long x 0.52" tall
Weight: 2.068
Language: English

Classical Electromagnetic Fields
Maxwell's Equations in a Vacuum
Maxwell's Equations in a Medium
Linear Dipole Oscillator
Coherence
Free-Electron Lasers
Problems
Classical Nonlinear Optics
Nonlinear Dipole Oscillator
Coupled-Mode Equations
Cubic Nonlinearity
Four-Wave Mixing with Degenerate Pump Frequencies
Nonlinear Susceptibilities
Problems
Quantum Mechanical Background
Review of Quantum Mechanics
Time-Dependent Perturbation Theory
Atom-Field Interaction for Two-Level Atoms
Simple Harmonic Oscillator
Problems
Mixtures and the Density Operator
Level Damping
The Density Matrix
Vector Model of Density Matrix
Problems
CW Field Interactions
Polarization of Two-Level Medium
Inhomogeneously Broadened Media
Counterpropagating Wave Interactions
Two-Photon Two-Level Model
Polarization of Semiconductor Gain Media
Problems
Mechanical Effects of Light
Atom-Field Interaction
Doppler Cooling
The Near-Resonant Kapitza-Dirac Effect
Atom Interferometry
Problems
Introduction to Laser Theory
The Laser Self-Consistency Equations
Steady-State Amplitude and Frequency
Standing-Wave, Doppler-Broadened Lasers
Two-Mode Operation and the Ring Laser
Mode Locking
Single-Mode Semiconductor Laser Theory
Transverse Variations and Gaussian Beams
Problems
Optical Bistability
Simple Theory of Dispersive Optical Bistability
Absorptive Optical Bistability
Ikeda Instability
Problems
Saturation Spectroscopy
Probe Wave Absorption Coefficient
Coherent Dips and the Dynamic Stark Effect
Inhomogeneously Broadened Media
Three-Level Saturation Spectroscopy
Dark States and Electromagnetically Induced Transparency
Problems
Three and Four Wave Mixing
Phase Conjugation in Two-Level Media
Two-Level Coupled Mode Coefficients
Modulation Spectroscopy
Nondegenerate Phase Conjugation by Four-Wave Mixing
Problems
Time-Varying Phenomena in Cavities
Relaxation Oscillations in Lasers
Stability of Single-Mode Laser Operation
Multimode Mode Locking
Single-Mode Laser and the Lorenz Model
Problems
Coherent Transients
Optical Nutation
Free Induction Decay
Photon Echo
Ramsey Fringes
Pulse Propagation and Area Theorem
Self-Induced Transparency
Slow Light
Problems
Field Quantization
Single-Mode Field Quantization
Multimode Field Quantization
Single-Mode Field in Thermal Equilibrium
Coherent States
Coherence of Quantum Fields
Quasi-Probability Distributions
Schrodinger Field Quantization
The Gross-Pitaevskii Equation
Problems
Interaction Between Atoms and Quantized Fields
Dressed States
Jaynes-Cummings Model
Spontaneous Emission in Free Space
Quantum Beats
Problems
System-Reservoir Interactions
Master Equation
Fokker-Planck Equation
Langevin Equations
Monte-Carlo Wave Functions
Quantum Regression Theorem and Noise Spectra
Problems
Resonance Fluorescence
Phenomenology
Langevin Equations of Motion
Scattered Intensity and Spectrum
Connection with Probe Absorption
Photon Antibunching
Off-Resonant Excitation
Problems
Squeezed States of Light
Squeezing the Coherent State
Two-Sidemode Master Equation
Two-Mode Squeezing
Squeezed Vacuum
Problems
Cavity Quantum Electrodynamics
Generalized Master Equation for the Atom-Cavity System
Weak Coupling Regime
Strong Coupling Regime
Velocity-Dependent Spontaneous Emission
Input-Output Formalism
Problems
Quantum Theory of a Laser
The Micromaser
Single Mode Laser Master Equation
Laser Photon Statistics and Linewidth
Quantized Sidemode Buildup
Problems
Entanglement, Bell Inequalities and Quantum Information
Einstein-Podolsky-Rosen Paradox and Bell Inequalities
Bipartite Entanglement
The Quantum Beam Splitter
Quantum Teleportation
Quantum Cryptography
Toward Quantum Computing
Problems
References
Index
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