原子在駐波激光場中的能帶性質(zhì)和混沌動力學性質(zhì)的研究.pdf

1、東南大學碩士學位論文原子在駐波激光場中的能帶性質(zhì)和混沌動力學性質(zhì)的研究姓名：張曉嵐申請學位級別：碩士專業(yè)：光學指導教師：黃洪斌2000.3.1AbstractThisarticlestudysthenonrotatewaveapproximationitem’Sinfluenceonthepropertyoftheenergybandandthechos—dynamicsofatomsinopticalpotentialInourres

2、earchonenergyband，thearticlefirstprovidesthetheatoms’physicalmodelplacedinlasterstationarywaveandthecorrespondingHamiltonSecondlythefiguresofthecorrespondingenergybandarecalculatedbytheanalyticalmethod，whichshowthatthewi

3、dthofenergybandwillchangeinthenonrotatewaveapproximation，andtheamplitudeofchangeofwidthisrelatedwiththeintensityofthelasterfieldandthedifferenceofenergybandFinallyweagainconsiderthephysicalmodelofatomsinallacceleratingop

4、ticalpotentialandgivethecorrespondingHamiltoninmovingframeThen，thecorrespondingfiguesofenergybandaremadeoutbythenumericalcalculation，fromwhichweobviouslyseetheenvironmentalparameters’modulationonenergybandInoBrresearchon

5、chosdynamics，weflrstDelta—Kicktheoriginalmodel，theneducethesystem’SiterativeequationsandLyapunovExponent‘Scalculationalformulas，and，last，drawatoms’phasemapsandLyapunovexponentcurvesbasedondifferentparametersFromthesemaps

6、，wediscoverthatcomparedwiththerotatewaveapproximation，theatom’Snonlinearmotionbecomemoresensitvetotheenvironmentalparameters(suchasthelasterfield’Sintensityandfrequency、onginalmomentumandlocation)inthenonrotatewaveappoxi

7、mationAtthesametime，somenewphenomenaareobserved，whichareimpossibletoOCCUrinrotate—waveapproximationAllthisindicatesthatthenortrotatewaveapproximationitemhasaprofoundinfluenceontheatoms’snonlinearmotionKeywords：rotatewave