An introduction to quantum optics :an open systems approach /
"Version: 20250701"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. What is quantum optics? -- 1.2. Open quantum systems -- 1.3. The mystery of the polaroids -- 1.4. This book2. Classical electromagnetism and linear optics -- 2.1. Maxwell's 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 atom3. Quantum mechanics review -- 3.1. Wave mechanics -- 3.2. Dirac notation -- 3.3. Representations -- 3.4. Pictures -- 3.5. The path integral method -- 3.6. Density matrix -- 3.7. Choice of basis and measurement -- 3.8. Executive summary4. Two-level dynamics -- 4.1. Two-level atoms -- 4.2. Atom-field interaction in the electric dipole approximation -- 4.3. Introduction to the dressed states -- 4.4. Floquet theory -- 4.5. Perturbation theory and rate equations -- 4.6. Pauli operators and the Bloch sphere representation -- 4.7. Relation to the classical Lorentz model -- 4.8. An interlude on the form of the atom-field interaction -- 4.9. Spontaneous emission from two coupled atoms5. Multilevel systems -- 5.1. Quantum beats -- 5.2. Driven three-level system -- 5.3. Electromagnetically induced transparency -- 5.4. Slow light -- 5.5. Quantum memory -- 5.6. Classical analog of EIT -- 5.7. Stationary light -- 5.8. Cavity-induced transparency -- 5.9. Two-photon absorption6. Quantum fields I -- 6.1. Maxwell equations again -- 6.2. Quantization of the electromagnetic field -- 6.3. Single-mode quantized fields -- 6.4. Number states -- 6.5. Coherent states -- 6.6. Squeezed states -- 6.7. Cat states -- 6.8. Thermal states -- 6.9. Twin beam states7. Quantum fields II -- 7.1. Vacuum fluctuations, beam splitters, and interferometers -- 7.2. Gravitational wave detection -- 7.3. Amplifier noise -- 7.4. More vacuum effects8. Two-level atom coupled to a quantized field -- 8.1. Atom-field interaction in quantum optics -- 8.2. Wigner-Weisskopf approximation -- 8.3. Cavity-modified spontaneous emission -- 8.4. Dressed states reprise -- 8.5. Heisenberg equations of motion -- 8.6. Collapse and revival of population inversion -- 8.7. Vacuum fluctuations and the radiation reaction -- 8.8. Connections to supersymmetry9. Coherence and detection -- 9.1. Detectors -- 9.2. Noiseless classical signal -- 9.3. Complex analytic signal -- 9.4. Semiclassical photodetection theory -- 9.5. Quantum detection theory -- 9.6. Optical spectra and first-order coherence -- 9.7. Photon statistics and second-order coherence -- 9.8. Mandel Q function -- 9.9. Balanced homodyne detection and the spectrum of squeezing -- 9.10. Wave-particle duality and conditioned homodyne detection -- 9.11. Cross-correlation functions -- 9.12. Out of time-ordered correlations -- 9.13. A note on detailed balance10. The density matrix and the master equation or wave functions : the big lie -- 10.1. Open quantum systems -- 10.2. Density matrix and reduced density matrix -- 10.3. The master equation with dissipation -- 10.4. Quantum regression theorem -- 10.5. Derivation of the master equation in the Born-Markov approximation -- 10.6. Other types of reservoirs -- 10.7. Alternative derivation of the Lindblad equation -- 10.8. Resonance fluorescence -- 10.9. Cavity quantum electrodynamics -- 10.10. Time asymmetric correlations11. Quantum trajectory theory -- 11.1. A new way -- 11.2. Some examples -- 11.3. Now for a little formality -- 11.4. Homodyne detection and quantum state diffusion -- 11.5. Two-time averages -- 11.6. Quantum jumps -- 11.7. Optical bistability -- 11.8. Cavity quantum electrodynamics -- 11.9. Quantum Zeno effect -- 11.10. Catching and reversing a jump -- 11.11. Some final thoughts on the trajectories12. Quasiprobability distributions -- 12.1. Glauber-Sudarshan P representation -- 12.2. Wigner distribution -- 12.3. Husimi Q function -- 12.4. Fokker-Planck equations -- 12.5. Two-level atoms -- 12.6. System size expansion -- 12.7. Correlation functions13. Stochastic differential equations -- 13.1. Langevin equations -- 13.2. Coupled oscillators -- 13.3. Relation to the Fokker-Planck equation -- 13.4. Input-output theory -- 13.5. Two time correlation functions -- 13.6. Spectrum of squeezing for an OPO -- 13.7. Cascaded systems -- 13.8. Modes of the Universe -- 13.9. Correlation functions -- 13.10. Input-output (slight return)14. The Schwinger-Keldysh formalism -- 14.1. Preliminaries -- 14.2. Green's functions -- 14.3. Path integral representation of the density matrix -- 14.4. Lindblad to Keldysh -- 14.5. Feynman-Vernon influence functional -- 14.6. Correlation functions -- 14.7. The Keldysh zoo -- 14.8. Damped driven cavity -- 14.9. Optical parametric oscillator -- 14.10. Interlude on fermions and Grassman variables -- 14.11. Resonance fluorescence -- 14.12. Single-atom cavity electrodynamics -- 14.13. Three-point correlation functions -- 14.14. Keldysh methods for out-of-time order correlations15. Double-sided Feynman diagrams -- 15.1. Density matrix perturbation theory -- 15.2. Double-sided Feynman diagrams -- 15.3. Two-dimensional Fourier spectroscopy -- 15.4. Nonlinear interactions -- 15.5. Liouville pathways -- 15.6. Classical protocols T2 = 0 -- 15.7. Keldysh contour versus real-time contour16. Entanglement -- 16.1. No cloning -- 16.2. Bell inequalities -- 16.3. Entangled states -- 16.4. Schmidt basis -- 16.5. Bell-state basis -- 16.6. Teleportation -- 16.7. Quantum dense coding -- 16.8. Quantum key distribution -- 16.9. Positive operator-valued measures -- 16.10. Mixed states Schmidt basis -- 16.11. Quantum relative and conditional entropies -- 16.12. Quantum mutual information -- 16.13. Three-qubit states -- 16.14. Tripartite basis sets -- 16.15. Qudits -- 16.16. Quantum trajectory entanglement17. Further! -- 17.1. For future study.Full-text restricted to subscribers or individual document purchasers.An Introduction to Quantum Optics: An open systems approach (Second Edition) has added content in the early chapters on the basics, and the later, new chapters, discuss recent techniques from other fields that are now being introduced into the quantum optics/quantum information arena. The emphasis is on optical systems that involve a few atoms and/or cavity modes, where quantum noise effects are most noticeable. The interest is in fundamental limits imposed by nature, in terms of communication, computing, and metrology. Part of IOP Series in Emerging Technologies in Optics and Photonics.Upper-level undergraduate or first year graduate.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr Perry Rice earned a BS in physics from Wright State University in 1981, and a PhD in physics from the University of Arkansas in 1988. He then spent 30 years as a professor at Miami University where he is an emeritus Professor, followed by a year at the Oregon Center for Optical, Molecular, and Atomic Physics. His research focuses on the interaction of quantized light with matter and the properties of quantum noise, including resonance fluorescence, cavity quantum electrodynamics, and nonlinear optics. Currently he uses neural networks to work on waveguide quantum electrodynamics, quantum phase transitions, error correction codes, and the distribution of multipartite entanglement.Title from PDF title page (viewed on August 1, 2025).
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