LEADER 04824nam 22007092 450 001 9910780059903321 005 20160428173954.0 010 $a1-107-12469-7 010 $a1-282-38909-2 010 $a0-511-64291-1 010 $a9786612389092 010 $a0-511-15572-7 010 $a0-511-56144-X 010 $a0-511-75566-X 010 $a0-511-04459-3 035 $a(CKB)111056485655750 035 $a(EBL)202125 035 $a(OCoLC)475916891 035 $a(SSID)ssj0000188459 035 $a(PQKBManifestationID)11939194 035 $a(PQKBTitleCode)TC0000188459 035 $a(PQKBWorkID)10165404 035 $a(PQKB)10836217 035 $a(UkCbUP)CR9780511755668 035 $a(Au-PeEL)EBL202125 035 $a(CaPaEBR)ebr10006804 035 $a(MiAaPQ)EBC202125 035 $a(PPN)261303902 035 $a(EXLCZ)99111056485655750 100 $a20100422d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLe?vy statistics and laser cooling $ehow rare events bring atoms to rest /$fFranc?ois Bardou [and others]$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (xiii, 199 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-00422-5 311 $a0-521-80821-9 320 $aIncludes bibliographical references (p. 181-187) and indexes. 327 $tLaser cooling --$tSubrecoil laser cooling --$tSubrecoil cooling and Levy statistics --$tSubrecoil laser cooling and anomalous random walks --$tStandard laser cooling: friction forces and the recoil limit --$tFriction forces and cooling --$tThe recoil limit --$tLaser cooling based on inhomogeneous random walks in momentum space --$tPhysical mechanism --$tHow to create an inhomogeneous random walk --$tExpected cooling properties --$tQuantum description of subrecoil laser cooling --$tWave nature of atomic motion --$tDifficulties of the standard quantum treatment --$tQuantum jump description. The delay function --$tSimulation of the atomic momentum stochastic evolution --$tGeneralization. Stochastic wave functions and random walks in Hilbert space --$tFrom quantum optics to classical random walks --$tFictitious classical particle associated with the quantum random walk --$tSimplified jump rate --$tTrapping and recycling. Statistical properties --$tTrapping and recycling regions --$tModels of inhomogeneous random walks --$tFriction --$tTrapping region --$tRecycling region --$tMomentum jumps --$tProbability distribution of the trapping times --$tOne-dimensional quadratic jump rate --$tGeneralization to higher dimensions --$tGeneralization to a non-quadratic jump rate --$tProbability distribution of the recycling times --$tPresentation of the problem: first return time in Brownian motion --$tThe unconfined model in one dimension --$tThe Doppler model in one dimension --$tThe confined model: random walk with walls --$tBroad distributions and Levy statistics: a brief overview. 330 $aLaser cooling of atoms provides an ideal case study for the application of Le?vy 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. Le?vy 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 Le?vy 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. 517 3 $aLe?vy Statistics & Laser Cooling 606 $aLaser manipulation (Nuclear physics) 606 $aLaser cooling 606 $aAtoms$xCooling 606 $aLe?vy processes 615 0$aLaser manipulation (Nuclear physics) 615 0$aLaser cooling. 615 0$aAtoms$xCooling. 615 0$aLe?vy processes. 676 $a539.7 700 $aBardou$b Franc?ois$f1967-$01560518 701 $aBardou$b Franc?ois$f1967-$01560518 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910780059903321 996 $aLe?vy statistics and laser cooling$93826552 997 $aUNINA