18723.具有自旋軌道耦合的一維冷原子費(fèi)米氣中的量子相以及無序效應(yīng)研究

1、具有自旋軌道耦合的一維冷原子費(fèi)米氣中的量子相以及無序效應(yīng)研究Thestudiesonthequantumphasesanddisordereffectsin0neaImenslonaISpInorbltCOUPIedatomicrermigasesII■●●●●●■●尸‘王俊JunWang導(dǎo)jJiTi：高先龍教授Supervisor：ProfXianlongGao浙江師范大學(xué)凝聚態(tài)物理研究所InstituteofCondensedMat

2、terPhysicsZhejiangNormalUniversity五月，2015May2015凝聚態(tài)物理專業(yè)碩士學(xué)位論文ThesislortheMscDegreeinCondensedMatterPhysicsAbstractWeinvestigatethepropertiesofonedimensionalspinorbitcoupledatomicFermigasesandtheeffectofdisorderonaonedime

3、nsionalpwavesuperconductorTherearefivechaptersinthethesisInchapterone，weintroducethebackgroundofthetopologicalsuperconductorandMajoranafermionincondensedmatterphysicsWealsointroducetheprogressofspinorbitcouplinginultraco

4、ldatomicexperimentsandtheoreticalresearchofthespinorbitcoupledultracold—atomsystemsInchaptertwo，weintroducetheoriginofspin—orbitcoupling，andderivetheBogoliubov—deGennesequationfromthemodelHamiltonianindetailsWeintroduceh

5、owtosolvethisequationselfconsistentlyaswellFurthermore，wediscussthedispersionrelationsofqnasipartielesandobtainthecriticalZeemanfieldwhenthetopologicalphasetransitionhappensInchapterthree，bysolvingtheBogoliubov—deGennese

6、quationselfconsistentlywefindthatthesystemsupportsthetopologicalsuperfluidstateandtheFuldeFerrell—LarkinOvchinnikovsuperfluidstaterespectivelywhenthesystemunderthedifferentstrengthofZeemanfieldandfillingfactorsWhenthesys

7、temturnsintotopologicalsuperfluidstateapairofzeroenergyMajorsTlafermionsarefoundFinallythephasediagramsaregivenInchapterfour，weinvestigatetheeffectofdisorderonaonedimensionalpwavesuperconductorByusingthemethodofmultifrac

8、talanalysis，wefindthatthesystemnotonlysupportsextendedphaseandlocalizedphase，butalsosupportsacriticalphaseWeinvestigatetheinfluenceofdisorderonMajorangedgemodesunderopenboundaryconditionsaSwellConclusionsandoutlookaregiv