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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

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