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Full Description
Laser cooling of atoms provides an ideal case study for the application of Lévy statistics in a privileged situation where the statistical model can be derived from first principles. This book demonstrates how the most efficient laser cooling techniques can be simply and quantitatively understood in terms of non-ergodic random processes dominated by a few rare events. Lévy statistics are now recognised as the proper tool for analysing many different problems for which standard Gaussian statistics are inadequate. Laser cooling provides a simple example of how Lévy statistics can yield analytic predictions that can be compared to other theoretical approaches and experimental results. The authors of this book are world leaders in the fields of laser cooling and light-atom interactions, and are renowned for their clear presentation. This book will therefore hold much interest for graduate students and researchers in the fields of atomic physics, quantum optics, and statistical physics.
Contents
1. Introduction; 2. Subrecoil laser cooling and anomalous random walks; 3. Trapping and recyling. Statistical properties; 4. Broad distributions and Lévy statistics: a brief overview; 5. Proportion of atoms trapped in quasi-dark states; 6. Momentum distribution; 7. Physical discussion; 8. Tests of the statistical approach; 9. Example of application: optimization of the peak of cooled atoms; 10. Conclusion; Appendix A. Correspondence of the parameters of the statistical models with atomic and laser parameters; Appendix B. The Doppler case; Appendix C. The special case mu = 1.
