Lévy statistics and laser cooling : how rare events bring atoms to rest [EBook] / François Bardou [and others].
Lévy statistics and laser cooling : how rare events bring atoms to rest [EBook] / François Bardou [and others].
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...
Personal Name(s):  Bardou, François, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (xiii, 199 pages) 
Note: 
englisch 
ISBN: 
9780521004220 9780511755668 9780521808217 
Subject (LOC):  
Full Text 
Table of Contents:
 Laser cooling
 Subrecoil laser cooling
 Subrecoil cooling and Levy statistics
 Subrecoil laser cooling and anomalous random walks
 Standard laser cooling: friction forces and the recoil limit
 Friction forces and cooling
 The recoil limit
 Laser cooling based on inhomogeneous random walks in momentum space
 Physical mechanism
 How to create an inhomogeneous random walk
 Expected cooling properties
 Quantum description of subrecoil laser cooling
 Wave nature of atomic motion
 Difficulties of the standard quantum treatment
 Quantum jump description. The delay function
 Simulation of the atomic momentum stochastic evolution
 Generalization. Stochastic wave functions and random walks in Hilbert space
 From quantum optics to classical random walks
 Fictitious classical particle associated with the quantum random walk
 Simplified jump rate
 Trapping and recycling. Statistical properties
 Trapping and recycling regions
 Models of inhomogeneous random walks
 Friction
 Trapping region
 Recycling region
 Momentum jumps
 Probability distribution of the trapping times
 Onedimensional quadratic jump rate
 Generalization to higher dimensions
 Generalization to a nonquadratic jump rate
 Probability distribution of the recycling times
 Presentation of the problem: first return time in Brownian motion
 The unconfined model in one dimension
 The Doppler model in one dimension
 The confined model: random walk with walls
 Broad distributions and Levy statistics: a brief overview.