Title Lévy statistics and laser cooling : how rare events bring atoms to rest / François Bardou [and others]

Published Cambridge ; New York : Cambridge University Press, 2002

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Description 1 online resource (xiii, 199 pages) : illustrations 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 -- One-dimensional quadratic jump rate -- Generalization to higher dimensions -- Generalization to a non-quadratic 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 Summary A graduate-level book for researchers in atomic physics, quantum optics, and statistical physics, written by world leaders in the fields of laser cooling and light-atom interactions. They demonstrate how Lvy statistics can be applied to problems where Gaussian statistics are inadequate, using laser cooling of atoms as a case study Bibliography Includes bibliographical references (pages 181-187) and indexes Notes Print version record Subject Laser manipulation (Nuclear physics) Laser cooling. Atoms -- Cooling Lévy processes. SCIENCE -- Physics -- Nuclear. SCIENCE -- Physics -- Atomic & Molecular. Atoms -- Cooling Laser cooling Laser manipulation (Nuclear physics) Lévy processes Laserkühlung Lévy-Prozess Quantenoptik Form Electronic book Author Bardou, François, 1967- ISBN 0511016018 9780511016011 9780511755668 051175566X 9780511044595 0511044593

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