Feynman diagrams versus Fermi-gas Feynman emulator

Feynman diagrams versus Fermi-gas Feynman emulator

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时间:2019-07-19

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1、LETTERSPUBLISHEDONLINE:18MARCH2012

2、DOI:10.1038/NPHYS2273FeynmandiagramsversusFermi-gasFeynmanemulatorK.VanHoucke1,2*1,3,E.Kozik4,5,N.Prokof’ev1,6,B.Svistunov1,6,M.J.H.Ku7,,F.WernerA.T.Sommer7,L.W.Cheuk7,A.Schirotzek8andM.W.Zwierlein7Preciseunderstandingofstronglyinteractingfermions

3、,fromwithzero-rangeinteractionsatinfinitescatteringlength46.Thiselectronsinmodernmaterialstonuclearmatter,presentssystemofferstheuniquepossibilitytostringentlytestourtheoryamajorgoalinmodernphysics.However,thetheoreticalagainstaquantumemulatorrealizedherewithtrappedultracolddescri

4、ptionofinteractingFermisystemsisusuallyplagued6LiatomsatabroadFeshbachresonance46.Thisexperimentalbytheintricatequantumstatisticsatplay.Herewepresentvalidationisindispensableforourtheory,basedonresummationofacross-validationbetweenanewtheoreticalapproach,boldapossiblydivergentseri

5、es:althoughthephysicalanswerisshowntodiagrammaticMonteCarlo1–3,andprecisionexperimentsonbeindependentoftheappliedresummationtechniquesuggestingultracoldatoms.Specifically,wecomputeandmeasure,withthattheprocedureisadequateitsmathematicalvalidityremainsunprecedentedprecision,thenorm

6、al-stateequationofstateoftobeproven.Inessence,natureprovidesthe`proof'.Thispresentstheunitarygas,aprototypicalexampleofastronglycorrelatedthefirstalthoughlong-anticipatedcompellingexampleofhowfermionicsystem4–6.Excellentagreementdemonstratesthataultracoldatomscanguidenewmicroscop

7、ictheoriesforstronglyseriesofFeynmandiagramscanbecontrollablyresummedinainteractingquantummatter.non-perturbativeregimeusingbolddiagrammaticMonteCarlo.Atunitarity,thedisappearanceofaninteraction-imposedlengthInhisseminal1981lecture7,RichardFeynmanarguedthatscaleleadstoscaleinvarian

8、ce.Thispropertyrendersthemodelanarbitraryquantumsystemcannotbeefficientlysimulatedrelevantforotherphysicalsystemssuchasneutronmatter.Itwithaclassicaluniversalcomputer,becausegenerally,quantumalsomakesthebalanced(thatis,spin-unpolarized)unitarygasstatisticscanonlybeimitatedwithaclas

9、sicaltheoryifprobabilities

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