Dynamics of magnetization at infinite temperature in a Heisenberg spin chain.
E RosenbergT I AndersenR SamajdarA PetukhovJ C HokeD A AbaninAndreas BengtssonI K DrozdovC EricksonP V KlimovXiao MiA MorvanMatthew NeeleyCharles NeillR AcharyaR AllenK AndersonM AnsmannF AruteKunal AryaA AsfawJ AtalayaJoseph C BardinA BilmesG BortoliAlexandre BourassaJ BovairdL BrillM BroughtonBob B BuckleyD A BuellT BurgerBrian BurkettNicholas BushnellJ CamperoHung-Shen ChangZ ChenB ChiaroD ChikJ CoganRoberto CollinsP ConnerW CourtneyA L CrookB CurtinD M DebroyA Del Toro BarbaSean DemuraAgustin Di PaoloA DunsworthC EarleL FaoroE FarhiR FatemiV S FerreiraL Flores BurgosE ForatiAustin G FowlerBrooks FoxenG GarciaÉ GenoisW GiangC GidneyD GilboaM GiustinaR GosulaA Grajales DauJonathan A GrossS HabeggerM C HamiltonM HansenMatthew P HarriganSean D HarringtonP HeuG HillM R HoffmannS HongT HuangA HuffW J HugginsL B IoffeS V IsakovJ IvelandE JeffreyZ JiangC JonesPavol JuhasDvir KafriT KhattarM KhezriM KieferováSeon KimA KitaevA R KlotsA N KorotkovF KostritsaJ M KreikebaumDavid LandhuisP LaptevK-M LauL LawsJ LeeK W LeeY D LenskyB J LesterA T LillW LiuA LocharlaSalvatore MandràOrion MartinS MartinJarrod R McCleanMatt McEwenS MeeksKevin C MiaoA MieszalaS MontazeriRamis MovassaghWojciech MruczkiewiczA NersisyanM NewmanJ H NgA NguyenM NguyenM Y NiuThomas E O'BrienS OmonijeA OpremcakR PotterL P PryadkoC QuintanaD M RhodesC RocqueNicholas C RubinN SaeiDaniel SankK SankaragomathiKevin J SatzingerHenry F SchurkusC SchusterM J ShearnA ShorterN ShuttyV ShvartsV SivakJ SkruznyW Clarke SmithR D SommaG SterlingD StrainMarco SzalayD ThorA TorresG VidalB VillalongaC Vollgraff HeidweillerTheodore WhiteB W K WooC XingZ Jamie YaoPing YehJ YooG YoungAdam ZalcmanY ZhangN ZhuN ZobristHartmut NevenRyan BabbushD BaconSergio BoixoJ HiltonErik LuceroAnthony MegrantJ KellyYu ChenVadim SmelyanskiyV KhemaniS GopalakrishnanTomaž ProsenPedram RoushanPublished in: Science (New York, N.Y.) (2024)
Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg model were conjectured as to belong to the Kardar-Parisi-Zhang (KPZ) universality class based on the scaling of the infinite-temperature spin-spin correlation function. In a chain of 46 superconducting qubits, we studied the probability distribution of the magnetization transferred across the chain's center, [Formula: see text]. The first two moments of [Formula: see text] show superdiffusive behavior, a hallmark of KPZ universality. However, the third and fourth moments ruled out the KPZ conjecture and allow for evaluating other theories. Our results highlight the importance of studying higher moments in determining dynamic universality classes and provide insights into universal behavior in quantum systems.