Quantum Optics : Including Noise Reduction Trapped Ions Quantum Trajectories and Decoherence This new edition gives a unique and broad coverage of basic laser related phenomena that allow graduate students scientists and engineers to carry out research in quantum optics and laser physics. It covers quantization of the electromagnetic field quantum theory of coherence atom field interaction models resonance fluorescence quantum theory of damping laser theory using both the master equation and the Langevin theory the correlated emission laser input output theory with applications to non linear optics quantum trajectories quantum non demolition measurements and generation of non classical vibrational states of ions in a Paul trap. In this third edition there is an enlarged chapter on trapped ions as well as new sections on quantum computing and quantum bits with applications. There is also additional material included for quantum processing and entanglement. These topics are presented in a unified and didactic manner each chapter is accompanied by specific problems and hints to solutions to deepen the knowledge. Einstein’s Theory of Atom–Radiation Interaction Atom–Field Interaction: Semi classical Approach Quantization of the Electromagnetic Field States of the Electromagnetic Field I States of the Electromagnetic Field II Quantum Theory of Coherence Phase Space Description Atom–Field Interaction System–Reservoir Interactions Resonance Fluorescence Quantum Laser Theory: Master Equation Approach Quantum Laser Theory: Langevin Approach Quantum Noise Reduction 1 Quantum Noise Reduction 2 Quantum Phase Quantum Trajectories Atom Optics Measurements Quantum Limits and All That Trapped Ions Decoherence Quantum Bits Entanglement and Applications Quantum Correlations Quantum Cloning and Processing Appendices: Operator Relations The Method of Characteristics Proof Stochastic Processes in a Nutshell Derivation of the Homodyne Stochastic Schrödinger Differential Equation Fluctuations Discrimination The No Cloning Theorem The Universal Quantum Cloning Machine Hints to Solve the Problems Index.