level diagrams

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Level Diagrams

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Level Diagrams. Li. Rb. Na and Cs. He. Multi Level Atoms. States: n 2S+1 X J. X: S ( l =0) , P ( l =1) , D ( l =2). Magnetic Moments:. Matrix Elements:. Transition Probabilities. ColdAtoms Basics. - PowerPoint PPT Presentation

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Page 1: Level Diagrams

Level Diagrams

Page 2: Level Diagrams

Li

Page 3: Level Diagrams

Rb

Page 4: Level Diagrams

Na and Cs

Page 5: Level Diagrams

He

Page 6: Level Diagrams

Multi Level AtomsStates: n 2S+1XJ X: S(=0), P(=1), D(=2) ....

rr

FF

mIJJSLeg

rmqm

FF

JF

IFJ

LJ

SJL

FFJJF

1

11

)12)(12)(12)(12()1( 1

Matrix Elements:

Magnetic Moments:

)1(2

)1()1()1(1

)1(2

)1()1()1(

)1(2

)1()1()1(

JJ

LLSSJJg

FF

JJIIFFg

FF

IIJJFFgg

mgE

J

B

KIJF

FBF

B neV/Gauss 5.78 MHz/Gauss 1.42

cm

e

eB

Page 7: Level Diagrams

Transition Probabilities

Page 8: Level Diagrams

ColdAtoms Basics

Page 9: Level Diagrams

Coherent Splitting of BEC with Optical Induced

Bragg Diffraction PRL 82, 871 (1999)

Page 10: Level Diagrams

Coherent Splitting of BEC

with Optical Induced Bragg Diffraction

PRL 82, 871 (1999)