Quantum Optics in Phase Space

Dieses Lehrbuch behandelt moderne Entwicklungen der Quantenoptik aus dem Blickwinkel des Phasenraums. Dazu werden konkrete Bilder von Quantenzuständen in Form von Phasenraumverteilungen wie z.B. der Wignerfunktion vermittelt. Diese Bilder machen es leicht, die Dynamik von Wellenpaketen in Atomen und Molekülen zu verstehen. Insbesondere vereinfachen sie sich im semi-klassischen Grenzfall.

Eine geschlossene Darstellung, detailliert abgeleitete Ergebnisse und eine große Auswahl an Übungsaufgaben charakterisieren dieses Buch, das nur elementare Kenntnisse der Quantenmechanik und Elektrodynamik voraussetzt. Eine Vielzahl kommentierter Literaturhinweise erlauben einen schnellen Einstieg in die aktuelle Forschung.

Autorentext
- Recipient of the Max Planck Research Award 2002

Zusammenfassung
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 book.

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.


Inhalt
What is Quantum Optics?
Ante
The Wigner Function
Quantum States in Phase Space
Waves a la WKB
WKB Wave Functions and Berry's Phase
Interference in Phase Space
Applications of Interference in Phase Space
Wave Packet Dynamics
Quantization of the Radiation Field
Quantum States of the Radiation Field
Phase Space Functions
Optical Interferometry
Atom-Field Interaction
Dynamics of Jaynes-Cummings-Paul Model
State Preparation and Entanglement
The Paul Trap
Damping and Amplification
Atom Optics in Quantized Light Fields
Wigner Functions in Atom Optics
Appendix
Time Dependent Operators -
Derivation of Equations Determining the Moyal Function -
Energy Wave Functions of Harmonic Oscillator -
Method of Stationary Phase -
Radial Equation -
Airy Function -
Asymptotic Expansion of the Poisson Distribution -
Area of Overlap -
P-Distributions -
Homodyne Detection Kernel -
Effective Hamiltonian -
Spontaneous Emission -
A Model for the Square Root of a Delta Function -
Bessel Functions

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