Table of Contents

What is Quantum Optics?

Ante

The Wigner Function

Quantum States in Phase Space

Waves á 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

About the Author

- Recipient of the Max Planck Research Award 2002

Reviews

"Quantum Optics in Phase Space" has been successful in preparing students and researchers for their quest of unravelling the mysteries of nature. Niels Bohr used to say that if you are not confused by quantum mechanics, then you really do not understand it. I guess same applies for quantum optics. This book first introduces you to the stunning results and then explains them in a crystal clear way. All encompassing derivations with the challenging set of problems brings out the best from within the reader. Each chapter and element has

been scrutinized ensuring clarity and accuracy.



The first experiments that led to the development of quantum optics as a subject have been described in fullest detail. The book tries to explain the entanglement of matter and waves by likening mechanical oscillators to standing waves. Classical experiments in optics have been re-explained with the help of quantum optics. Atom-field interaction has also been discussed in detail.



The explanation is based on semi-classical ideas which I believe is the best way because ultra-modern explanation can become very difficult to understand for those who are reading the subject for the first time.



I believe that "Quantum Optics in Phase Space" will prepare students for future endeavours by contributing to the enhancement of quantum." A reader from Atlanta, GA, USA for Amazon.com



"A new contribution to physics travel literature, and it deserves praise as a guidebook? Suitable for almost any physicist... Is there anything for the student that should be here that is not? I doubt it. My strong recommendation is to sign on and enjoy the tour." Physics Today, August 2002



"...for a researcher in quantum optics it would be invaluable: a comprehensive textbook for the beginner, and an excellent reference volume for the more experienced."



T.Harker, University College London, for LTSN Physical Sciences



"The book is generally very carefully written, with a very good selection of challendging problems at the end of each chapter. Mathematical details are elaborated in about a hundred pages appendices. ... for a researcher in quantum optics it would be invaluable."

Optik 115, No 9 (2004)