Coherent Dynamics of Complex Quantum Systems

 A large number of modern problems in physics, chemistry, and quantum electronics require a consideration of population dynamics in complex multilevel quantum systems. The purpose of this book is to provide a systematic treatment of these questions a

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Vladimir M. Akulin

Coherent Dynamics of Complex Quantum Systems With 140 Figures

123

Professor Vladimir M. Akulin Laboratoire Aimé Cotton Bat 505 Campus d’Orsay 91405 Orsay Cedex, France

Library of Congress Control Number: 2005929409

ISSN 0172-5998 ISBN-10 3-540-21052-0 Springer Berlin Heidelberg New York ISBN-13 978-3-540-21052-8 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com c Springer-Verlag Berlin Heidelberg 2006  Printed in the Netherlands The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant probreak tective laws and regulations and therefore free for general use. Typesetting: Data conversion by LE-TeX Jelonek, Schmidt & Vöckler GbR Cover design: design & production GmbH, Heidelberg Printed on acid-free paper SPIN 10971628 55/3141/mh 5 4 3 2 1 0

Preface

This book is an attempt to put together a large number of similar problems that one encounters in different fields of modern quantum physics and that have common features considering multilevel quantum systems. The main motivation was to present from the same standpoints various models and approaches that have been developed in atomic, molecular, condensed matter, chemical, laser and nuclear physics in various contexts. The book is based on my lectures in the Moscow Institute of Physics and Technology, in the Aime Cotton Laboratory of CNRS, and some other courses that I have delivered during last two decades. It includes the original results obtained in collaboration with my collegues V. Aquilanti, I. Averbukh, A. Belousov, M. Blaauboer, E. Borsela, E. Brion, B. Brunetti, C. Brechignac, P. Cahuzac, F. Carlier, I. Dumer, V. Gershkovich, G. Esadze, G. Garsevanishvili, G. Harel, E. Khokhlov, G. Kurizki, R. Larciprete, I. Murachko, A. Nesterenko, A. Orlov, S. Pelegrin, P. Pillet, F. Rebentrost, A. Sarfati, E. Schlag, W. Schleich, F. Vecchiocativi from different scientific centres in the world and with whom I had the pleasure to work on the dynamical aspects of the behaviour of complex quantum systems. I express my deep gratitude to them for their collaboration. The book also contains numerous results of other authors that have, however, been expounded in different notations consistent with the present text, and that sometimes even rely on an alternative derivation as compared to the o