An Introduction to Quantum Optics: An Open Systems Approach

Description

This book provides a solid pedagogical background in the techniques used in quantum optics, with an emphasis on open quantum systems. Suitable for undergraduates as a second semester quantum mechanics course or first-year graduate students, this book begins with a short summary of quantum mechanics and contains physics of open systems and their application to light/matter interactions. Written in a simplified manner and classroom tested, this book provides the fundamentals of quantum optics and includes recent developments in the field. Key Features Solid introduction to the key features of the fieldExcellent first exposure to nonequilibrium quantum statistical mechanicsDeveloped from 30 years of teachingIncludes recent developments in the field PRELIMS.pdf Preface Acknowledgments Author biography Perry Rice CH001.pdf Chapter 1 Introduction 1.1 What is quantum optics 1.2 Open quantum systems 1.3 This book References CH002.pdf Chapter 2 Classical electromagnetism and linear optics 2.1 Maxwell equations and electromagnetic waves 2.2 Wave equation for fields in a medium 2.3 Slowly varying envelope approximation 2.4 Lorentz oscillator model of the atom References CH003.pdf Chapter 3 QM review 3.1 Wave mechanics 3.2 Dirac notation 3.3 Representations and pictures 3.4 Pictures 3.5 Density matrix 3.6 Choice of basis and measurement 3.7 Executive summary 3.8 Entanglement References CH004.pdf Chapter 4 Two-level dynamics 4.1 Two-level atoms 4.2 Atom–field interaction in the electric dipole approximation 4.3 Introduction to dressed states 4.4 Perturbation theory and rate equations 4.5 Pauli operators and the Bloch sphere representation 4.6 Relation to the classical Lorentz model 4.7 An interlude in the form of the atom–field interaction References CH005.pdf Chapter 5 Quantum fields 5.1 Maxwell equations again 5.2 Quantization of the electromagnetic field 5.3 Single mode quantized fields 5.4 Number states 5.5 Coherent states 5.6 Squeezed states 5.7 Cat states 5.8 Thermal states 5.9 Vacuum fluctuations and beam splitters 5.10 Casimir effect References CH006.pdf Chapter 6 Two-level atom coupled to a quantized field 6.1 Atom–field interaction in quantum optics 6.2 Wigner–Weisskopf approximation 6.3 Cavity modified spontaneous emission 6.4 Dressed states reprise 6.5 Heisenberg equations of motion 6.6 Collapse and revivals of population inversion 6.7 Vacuum fluctuations and radiation reaction References CH007.pdf Chapter 7 Coherence and detection 7.1 Detection of a noiseless classical signal 7.2 Complex analytic signal 7.3 Semiclassical photodetection theory 7.4 Quantum detection theory 7.5 Optical spectra and first-order coherence 7.6 Photon statistics and second-order coherence 7.7 Balanced homodyne detection and the spectrum of squeezing 7.8 Wave–particle duality and conditioned homodyne detection 7.9 Cross-correlation functions References CH008.pdf Chapter 8 The density matrix and the master equation or wave functions: the big lie 8.1 Open quantum systems 8.2 Density matrix and reduced density matrix 8.3 The master equation with dissipation 8.4 Quantum regression theorem 8.5 Derivation of the master equation in the Born–Markoff approximation 8.6 Other types of reservoirs 8.7 Alternative derivation of Lindblad equation References CH009.pdf Chapter 9 Quantum trajectory theory 9.1 Some examples 9.2 And now for a little formality 9.3 Homodyne detection and quantum state diffusion 9.4 Two-time averages 9.5 Some final thoughts on trajectories References CH010.pdf Chapter 10 Quasiprobability distributions 10.1 Glauber–Sudarshan P representation 10.2 Wigner distribution 10.3 Husimi Q function 10.4 Fokker–Planck equations 10.5 Fermions 10.6 Langevin equations References