Quantum Optics in Phase Space
Wolfgang P. Schleich
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Quantum Optics in Phase Space provides a concise introduction to the rapidly
moving field of quantum optics from the point of view of phase space. Modern in
style and didactically skillful, Quantum Optics in Phase Space prepares students
for their own research by presenting detailed derivations, many illustrations
and a large set of workable problems at the end of each chapter. Often, the
theoretical treatments are accompanied by the corresponding experiments. An
exhaustive list of references provides a guide to the literature. Quantum Optics
in Phase Space also serves advanced researchers as a comprehensive reference
Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect.
Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields.
Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.
Table of Contents
What's Quantum Optics?
Quantum States in Phase Space.
Wave ?la WKB.
WKB and Berry Phase.
Interference in Phase Space.
Applications of Interference in Phase Space.
Wave Packet Dynamics.
Phase Space Functions.
Jaynes-Cummings-Paul Model: Dynamics.
State Preparation and Entanglement.
Damping and Amplification.
Atom Optics in Quantized Light Fields.
Wigner Functions in Atom Optics.
Appendix A: Energy Wave Functions of Harmonic Oscillator.
Appendix B: Time Dependent Operators.
Appendix C: S?szlig;mann Measure.
Appendix D: Phase Space Equations.
Appendix E: Airy Function.
Appendix F: Radial Equation.
Appendix G: Asymptotics of a Poissonian.
Appendix H: Toolbox for Integrals.
Appendix I: Area of Overlap.
Appendix J: P-Distributions.
Appendix K: Homodyne Kernel.
Appendix L: Beyond the Dipole Approximation.
Appendix M: Effective Hamiltonian.
Appendix N: Oscillator Reservoir.
Appendix O: Bessel Functions.
Appendix P: Square Root of δ.
Appendix Q: Further Reading.