V
3 Bogoliubov-de Gennes Calculation For Polarized Fermi Gas At Unitary 13
3.1 PolarizedFermiGasAtUnitary ....................... 13
3.1.1 Introduction.............................. 13
3.1.2 BdGFormalism............................ 15
3.2 Self-ConsistentnumericalsolutionsoftheBDGequation.......... 16
3.2.1 Implementationofthecode ..................... 17
3.2.2 Structureofthecode......................... 18
3.3 Current Results................................20
3.3.1 N=200 at zero temperature......................21
3.3.2 Larger particle number at T — 0.02Tf................ 27
3.4 Future Research Plan............................. 30
3.4.1 Improvingthealgorithm....................... 30
3.4.2 Large-NSystemSimulation..................... 31
3.4.3 Time-dependent BdG Simulation .................. 31
3.4.4 Beyond mean-field.......................... 32
3.4.5 Vortex lattice of a rotating system.................. 35
A Application of Fourier transform to dipolar condensate 37
Bibliography
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