High-resolution spectroscopy with a femtosecond laser frequency comb

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High-resolutionspectroscopywithafemtosecondlaserfrequencycomb

V.GerginovandC.E.TannerDepartmentofPhysics,UniversityofNotreDame,NotreDame,Indiana46556-5670

S.A.Diddams,A.Bartels,andL.HollbergTimeandFrequencyDivision,NationalInstituteofStandardsandTechnology,325Broadway,M.S.847,Boulder,Colorado80305

ReceivedJanuary11,2005Theoutputofamode-lockedfemtosecondlaserisusedforprecisionsingle-photonspectroscopyof133Csinanatomicbeam.Bychangingthelaser’srepetitionrate,thecesiumD1͑6s2S1/2→6p2P1/2͒andD2͑6s2S1/2

→6p2P3/2͒transitionsaredetectedandtheopticalfrequenciesaremeasuredwithaccuracysimilartothat

obtainedwithacwlaser.Controlofthefemtosecondlaserrepetitionratebyuseoftheatomicfluorescenceisalsoimplemented,thusrealizingasimplecesiumopticalclock.OCIScodes:300.6320,320.7090,020.0020.

Theintroductionofthefemtosecondlaseropticalfre-quencycomb(FLFC)begananeweraofprecisionfre-quencymetrology.TheFLFChasbeenusedasatoolforopticalfrequencycalibrationandmeasurement,atomicclockcomparisons,andmicrowavesynthesis.1

However,inmostexperimentstodate,theactualatomicphysicsisdonewithhighlycoherentcwlasersandtheFLFCisthelinkbetweentheselasersandmicrowaveorotheropticalfrequencystandards.Inafewcases,thedirectoutputofamode-lockedlaserhasbeenusedsuccessfullyfortwo-photonspectros-copy,wheremanypairsofcomblinesaddappropri-atelytoconnectgroundandexcitedstates.2–5Incon-

trast,inthisLetterwedemonstratehigh-resolutionsingle-photonspectroscopythatdirectlyemploysthefewnanowattspresentinasinglecomponentofaFLFC.Withthissourceweperformparallelmultifre-quencyopticalmeasurementsthatcansuccessfullycompetewithmeasurementsdoneusingcwlasers,butwithasignificantlysimplifiedexperimentalsetup.Specifically,aFLFCisusedtoexcitethe6s2S1/2→6p2P1/2and6s2S1/2→6p2P3/2transitions

inaneutral133Csbeamandtomeasurethecorre-spondingopticalfrequencies.Subsequently,welocktheFLFCtooneofthe8MHzwideCsopticaltran-sitions,therebycreatingagridofabsoluteopticalfre-quenciesinadditiontothedivided-downmicrowavesignalattherepetitionrateofthefemtosecondlaser.Thefractionaluncertaintyand1sinstabilityoftheCs-stabilizedFLFCareϳ1ϫ10−10.Weexpectthat

thetechniquesdescribedherecouldbeappliedtoat-omsandmoleculeswithnarrowertransitions,yield-ingcorrespondinglyloweruncertaintiesandinsta-bilities.WeemployaTi:sapphireFLFC,forwhichthecarrier-envelopeoffsetfrequencyf0andtherepetition

ratefrϷ1GHzofthefemtosecondlaserareboth

phaselockedtomicrowavesynthesizers.6,7Initially,thesesynthesizersarereferencedtoastablehydro-genmaser,whichiscalibratedbyaCsatomicfoun-tainclock.Thefractionalfrequencyuncertaintyof

thecombteethisequivalenttothatofahydrogenmaser,ϳ2ϫ10−13at1s,andaveragesdowntothe

10−15rangeafterafewhours.

Approximately10%oftheinfraredpartofthefem-tosecondlaseroutput(seeFig.1)issentviaasingle-modefibertoahighlycollimatedatomicbeam(12mraddivergence,densityofϳ1014cm−3).8The

outputofthesingle-modefiberiscollimatedtoa6.4mmdiameterbeamthatintersectstheCsatomicbeamatarightangleabovealarge-areaphotodiode.Thelaserpowerattheatomicbeamisstabilizedbyanacousto-opticmodulatorplacedinfrontoftheop-ticalfiber.Themagneticfieldintheinteractionre-gioniszeroedwiththreepairsofHelmholtzcoilstobetterthan2ϫ10−6T.8Toreducethebackground

pressureofCsinsidethevacuumchamber,aliquid-nitrogentrapisused.Thechamberpressureisbetterthan2ϫ10−4Pa.

FluorescencefromtheexcitedCsatomsiscollectedbythephotodiode,digitized,andstoredonacom-puterasthesynthesizercontrollingfrisscanned.

Fluorescencesignalsarereadilyobservedwithbroadband(i.e.,750–1000nm)excitationoftheCsatoms;however,interferencefiltersareusedtonar-rowthelaseroutputspectrumtotheregionofinter-est.Byuseoftwoopticalfilters,thespectralwidthoftheFLFCisnarrowedto3nminthevicinityofthe

Fig.1.Femtosecondlaserspectrumusedforhigh-resolutionspectroscopyoftheCsD1andD2linesat895

and852nm,respectively.

1734OPTICSLETTERS/Vol.30,No.13/July1,20050146-9592/05/131734-3/$15.00CsD1lineat895nm(dottedcurveinFig.1)andthensubsequentlyto9nmfortheD2lineat852nm

(dashedcurveinFig.1).Thefluorescenceversusfrforthefourdifferent

componentsoftheD1lineisshowninFig.2(a)andarisesfromtransitionsbetweenFg=3,4andFe=3,4.

Becauseofthepresenceofacombtoothevery1GHz,thefluorescencesignalsalsorepeatevery1GHzchangeinopticalfrequency,correspondingtoachangeinfrofϳ3kHz.Thefluorescenceoffsetisdue

toscatteredlaserlightfromthenumerousnonreso-nantcombcomponents,whereasthenonlinearback-groundisduetotheformationofaresidualCsvaporinsidethevacuumchamber.TheresultsfortheD2

lineareshowninFig.2(b).Thelowerpowerinthe