18712.有限溫度下的低維費(fèi)米冷原子氣研究

1、有限溫度下的低維費(fèi)米冷原子氣研究TheStudyofLow—dimensionalUltracoldFermiGasesinFinntetemperature張?zhí)鞂歍ianbaoZhang導(dǎo)師：高先龍教授Supervisor：ProfXianlongGao浙江師范大學(xué)物理系DepartmentofPhysicsZhejiangNormalUniversity五月，2015May2015理論物理專業(yè)碩士學(xué)位論文ThesisfortheMs

2、cDegreeinTheoreticalPhysicsAbstractThisthesisfocusesonthenumericalmethodforthethermodynamicpropertiesofultracoldFermigascsinlowdimensionalatfinitetemperatureBasedonthethermodynamicBethe。ansatzequations，wemainlydiscussthe

3、FermiHubbardmodelandFermiGaudinYangmodelbyapplyingnumericaltechniques，andwegetthecorrespondingphasediagramsandthephysicsofthermodynamicquantitiesInthefirsttwochapters、wemainlyintroducethebackgroundofthecoldatomicphy—sies

4、andtheonedimensionalstronglycorrelatedsystemsInthemeanwhile，wedetailsomeofthebasiccoldatomicphysics’conceptsandsomeoftheimportantdevelopmentsinthecoldatomicphysicsresearchfieldinrecentlyyearsWehighlighttheimportanceofthe

5、lowdimensionalstronglycorrelatedsystemandit’Sresearchprogress，whichinturnleadstoourresearchonthestudyoflowdimensionalultracoldFermigasesinfinitetemperatureInthethirdchapter，weconsiderthenatureoftheonedimensionalfermicold

6、atomiclatticesystematfinitetemperatureintheHubbardmodelBasedOnthethermodynamicBethe。ansatzequationsintheFermiHubbardmodel，weusethenumericalmethodtogetthethermodynamicquantitiessuchasthedensityenergyentropyspecifcheatcomp

7、ressibilityanddoubleoccupiedandsoon。14湯at’smoreiwehaveplotthefiguresrelatestothecorrespondingthermodynamicquantitieswiththechemicalpotentialgraduallychangedatdifferenttemperaturesandinteractionsWbgetthesystem’Stransition

8、figuresamongthevacuum，fluidphase，Mottinsulatorphase，fluidphase，andbandinsulatorphaseIntheforthchapter，westudythepropertiesofFermiGaudin—YangroodelinonedimensionbycalculatingthethermodynamicBetheansatzequations。W色getthede

9、nsity，pressure，energyandcorrelationfunctionwiththechemicalpotential，temperatureandinteractionAtagiventemperatureandinteraction，wefindthatthereisaquantumcriticalzonewiththethermalfluctuationsandquantumfluctuationscoexistW