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1、ResearchPlanName*Dateofbirth198*-*-*GenderMaleMajorPhysicsCurrentUniversity*HostingforeigncountryTheUnitedStatesHostingforeignUniversityMassachusettsinstituteoftechnology(MIT)HostingfacultyordepartmentDepartmentofphysicsCenterfortheoreticalphysicsHostingforeignsupervisor*AreaofresearchTheoreticalphy
2、sicsDurationofstudyFromJuly1,2019toDecember30,2019RESEARCHPROJECTTIT1.E:Somestudiesonnon-equi1ibriumstronglycoupledsystemsfromholographydualityResearchBackgroundHolographydualiIyhasbeenprovedtobeaneffectivetooltodealwiththestronglycoupledsystems.Especiallyinrecentyears,thisdualityhasalsobeenusedexte
3、nsivelyinnon-equilibriumstrongcoupledsystems.Oneofthebiggestmotivationtousethisgaugegravitydualitytostudythenon-equilibriumstronglycoupledsystemsisthatthethermalizationtimeofquarkgluonplasmaproducedinRHICand1.HCexperimentspredictedbytheperturbationtheoryislongerthantheexperimentresult.Accordingtothe
4、holographicconjecture,theprocessofblackholeformationviagravitationalcollapseisexceptedtobethedualdescriptionofthethermalizationprocess.Basedonthisparadigm,Balasubramanianetal.findthatonecanuseIhCtwo-pointcorrelationfunction,Wilsonloop,andentanglemententropy,whichcanfurtherbeevaluatedinthesaddlepoint
5、approximationintermsofgeodesic,minimalsurface,andminimalvolumeindividually,todetectthethermalization.Itisfoundthattheholographicthermalizationalwaysproceedsinatop-downpattern,namelytheUVmodesthermalizefirstly,followedbytheIRmodes.Thereisalsoasiightdelayintheonsetofthermalizationandtheentanglementent
6、ropythermalizesslowest,whichsetsatimescaleforcqui1ibration.Recently,*etal.studiedindetailseveraluniversalfeaturesinthetimeevolutionofentanglemententropyandotherobservablesinquenchedholographicsystems.Thepointthatthewholethermalizationshouldbedividedintofourprocesses:regimesofpre-1oca1-equilibrationq
7、uadraticgrowth,post-local-equi1Ibration1ineargrowth,amemorylossregime,andasaturationregime.PreparationsfortheresearchprojectRecently,Mypartnerand1areinterestedinstudyingthethermalizationviaAdSZCI7Tcorrespondence.Wehaveachievedsomeinterestingprogress.Firstly,Vfehavestudiedholographicthermalizationint
8、heframeworkof(EMGBgravity)Einstcin-MaxwelI-Gauss-Bonnetgravity.Usingthetwo-pointcorrelationfunctionandexpectationvalueofWilsonlooptoprobethethermalization,wefoundthattheGauss-Bonnetcoefficientcanacceleratethethermalizationwhilethechargehasanoppositeeffect,Inaddition,wefurtherdiscussedaboutthethermal
9、izationvelocityandthermalizationaccelerationandconcludedthatthereisaphasetransitionpointatthemiddleandlaterperiodsofthethermalizationprocess.Secondly,weinvestigatetheeffectofconformalanomalycorrectionparameters,noncommutativeparameterandglobalmonopoleonholographicthermalizationprocess.Ourinvestigati
10、oncanprovideanothersighttounderstandthethermalizationprocessthatcouldbeusedtostudythethermalizationtimeofquarkgluonplasmaproducedinRHICand1.HCexperiments.WhatSmore,wehaveinvestigatedquantumgravityeffectsanddiscussedthethermodynamicpropertiesofblackholesinrecentlypapers.Throughmorethantenyearsresearc
11、h,IamnowveryinterestedinwhatIhasdoneandwhatIwi11do.WiththehelpofProf.*,IamsureIcanmakenewprogressinmycareer.TheGoalofMyResearchI. Todomyresearchintheoreticalphysicsandachievesomebreakthroughinmyacademicresearch.Morerecently,Prof.Hong1.iuandJohnMcGreevypioneeredtheuseofholographicmethodtostudystrongl
12、ycoupledcondensedmatterphysic(nowknonasdSCMT).Thisisanamusingandattractivefield.IplantowritesomeHighqualityacademicpapersinthisfieldunderthesupervisionandguidanceofProf.*II. Towidenmyresearchandimprovemyacademiclevel.ThesoulofMITisresearch.IwanttoexperiencethestrongacademicatmosphereatMIT.III. Toimp
13、rovemyspokenlanguage,communicatingandwritingability.IwanttolearnmoreaboutthedifferentcultureinAmerica.ResearchMethodologyInourprogram,weshouldcalculatenonlocaloperatorssuchastwopointfunction,WiIsonloopandentanglemententropyinatimedependentbackground.Throughthefamousholographicduality,weneedthestudyo
14、ftime-dependentgravitationaldynamicsofblackholeformation.Thusintheoreticalmethod,weshouldusetheStringtheory,blackholephysicsandquantumphysicstoinvestigatetheIhermolizatonprocess.ItshouldbealsoemphasizedthatthebackgroundweareworkingwithuPhenomenologicalIymotivatedratherthanrigorouslysolvingEinsteineq
15、uations.ThatistosaymostofourinvestigationwoulddependoncomputerSimulationsWithnumericalcalculationskills.ProposedTimetable2019.07-2019.9TakingcoursesandenhancingtheabilityofEnglishcommunication,initiatingtodesigntheexperimentaldevices;2019.09-2019.10StudyingonNon-equi1ibriumthermodynamicsandstringthe
16、ory.2019.10-2019.11StudyingonnumericalrelativityandapplieddSCFT2019.11-2019.12GivingaspeechatCTPofMIT,communicationinotherresearchcenter(suchasDepartmentofPhysicsinHarvardUniversity)andpaperWriting2019.12ReturningtoChina.PlanafterreturningtoChinaI. Iwillcontinuemyresearchandstriveforwritinghighlevelpapers;II. WorkhardforthedevelopmentofCTPofHubeiuniversityfornationali