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Contents - Max-Planck-Institut für Physik komplexer Systeme

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ResearchGroup:ComplexDynamicsinColdGases<br />

(Head:Dr.T.Pohl)<br />

ThegroupwasestablishedinSeptember2008,andcurrentlyhoststhreePhDstudents(GeorgBannasch,<br />

NilsHenkel,RickMukherjee)andtwopostdoctoralguestscientists(SevilaySevinçli,RejishNath).Our<br />

researchiscenteredaroundthebehaviorofcoldandultracoldatomicgases.Inparticular,weareinterestedintheirresponsetolaserradiation,whichmaycausecorrelated,many-bodydynamicstoemerge<br />

directlyasatomsareionizedorexcitedtohighlyingstates. Asoutlinedbelow,theunderstandingof<br />

thisprocessandtheback-and-forthinteractionbetweenlightandcorrelatedmatterraisesratherdiverse<br />

questions,andopensuppromisingavenuesforapplicationsinopticalandinformationscience.<br />

Ultracoldplasmas,formedbyphotoionizationoflaser-cooledatoms,occupyanexoticparameterregime<br />

ofplasmaphysicsinwhichthepotentialenergygreatlyexceedsthethermalenergyofthecharges.Such<br />

plasmasarecreatedfarfromequilibrium,and,thus,provideanidealplatformtostudynon-equilibrium<br />

phenomenainstronglycorrelatedCoulombsystems.Wehavedevelopedefficientmicroscopicapproaches<br />

tostudyatomicreactions,relaxationprocessesandcollectivephenomenaundersuchstrongcouplingconditions.Furtherweareexploringtheutilityoflaserlighttoprobeandevencontroltheplasmadynamics.<br />

Partsofthisworkisbeingdoneinajointtheoretical-experimentaleffortwiththegroupofProf. T.C.<br />

KillianatRiceUniversity,USA.<br />

BoseEinsteincondensatesoflong-rangeinteractingparticlesareanotherfocusofourresearchactivities.<br />

Recently,weconsideredoff-resonantlasercouplingtohigh-lyingRydbergstatesasameansofovercomingthelifetime-limitationsetbyexcitedstatedecay.<br />

Atthesametime,sucha”Rydberg-dressing”<br />

producesapeculiareffectiveinteraction,featuringlong-rangetailsandasoftcoreatsmalldistances,<br />

whichpreventscondensatecollapse,asotherwiseoccurringdipolarcondensates. Wehaveshownthat<br />

thisapproachprovidesapromisingphysicalsettingtorealizeacontinuoussupersolidstateinultracold<br />

atomsandallowstocreateentirelyself-trappedstructures,i.e.three-dimensionalbrightsolitons,forthe<br />

firsttimeinBoseEinsteincondensates.Whiletheseresultsarelargelybasedonamean-fielddescription,<br />

werecentlystartedtoexploreeffectsofthermalandquantumfluctuations,withinacollaborationwith<br />

thegroupofProf.PeterZoller(InnsbruckUniversity).Futurework,willaddresscollectiveinteractions,<br />

arisingfromhigher-ordercorrelationsbetweendressedexcitations,androtatingsystems,whichsuggest<br />

aninterestingcompetitionbetweensupersolidorderingandtheemergingAbrikhosov-latticeofvortices<br />

duetotherotation.<br />

Opticallattices,filledwithultracoldatoms,havebecomearemarkablyversatiletoolboxtoaddressfundamentalcondensedmatterphysicsproblems.AparadigmexampleareHubbard-typemodels,whereatoms<br />

tunnelbetweenadjacentlatticesitesandfeaturelocalonsiteinteractions. Inanefforttoextendsuch<br />

settingstolong-rangeinteractingsystems,wehaveworkedoutaschemeforstrongmagic-wavelength<br />

trappingofground-andRydberg-states,thatexploitstheavailabilityoftwovalenceelectronsinalkalineearthatoms.<br />

Thiscombinationoftightlatticeconfinementandstrongstate-dependentinteractions,<br />

forexample,providesanessentialpre-requisiteforimplementationsofdigitalquantumsimulatorsand<br />

scalablequantumcomputers. Amongnextsteps,wecurrentlystudyanovelapproachforcontrolled<br />

Rydberg-state-enabledchargetransportinsuchanalkaline-earthlatticeandexploresuitable,robustprotocolsforthegenerationofnon-classicalmany-bodystatesinStrontiumRydberg-atomlattices,which<br />

mayprovideanentanglement-resourceforapplicationsinhigh-precisionfrequencymetrology.<br />

Nonlinearopticsiscommonlybasedonhigherorderlight-matterinteractions,suchthattheresulting<br />

nonlinearitiesareoftenofperturbativenature.Inthisrespect,thecombinationofslow-lighttechniques<br />

andstronglyinteractingRydbergstatesinanultracoldgaspromisesnewperspectivesforthefield,which,<br />

onlyrecently,haveattractedincreasedexperimentalandtheoreticalinterest. Inthepastfewyears,we<br />

havedevelopedcomplementarynumericalmethodsaswellasanalyticalapproachesthatallowtostudy<br />

thisproblem. Ourcalculationsprovideanexcellentdescriptionofrecentexperimentsandrevealauniversalscalingrelationthatilluminatestheoriginoftheopticalnonlinearities,emergingfromthehighly<br />

correlatedlight-drivengasdynamics.Wepredictgiantnonlinearsusceptibilitiesthataremanyordersof<br />

magnitudelargerthanrealizedinotheropticalmedia,whichcouldmakeseveralapplications,suchas<br />

few-photonopticalswitches,possible.Havingestablishedatheoryfortheopticalresponseofanultracold<br />

12 ScientificWorkanditsOrganizationatthe<strong>Institut</strong>e–anOverview

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