As the hydrodynamic theory breaks down with the local density ap-
proximation in the fermionic superfluid with spin-polarization, we develop a
general formalism of the adiabatic dynamics for the low-lying collective modes
in the BEC-BCS crossover, which is exact in the adiabatic limit. This adi-
abatic dynamic theory is based on a static density functional theory of the
spin-polarized superfluid system, which we derive as a generalization of the
conventional density functional theory of superfluid for current experimental
interests. A special case where the system is uniform and analytically solv-
able is studied in detail. We show that our adiabatic equations of motion are
reduced to the hydrodynamic equations of motion within local density approx-
imation, which provides a solid microscopic foundation for the well-publicized
phenomenological hydrodynamic theory. / text
| Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/ETD-UT-2011-08-4288 |
| Date | 28 September 2011 |
| Creators | Jiang, Minxi |
| Source Sets | University of Texas |
| Language | English |
| Detected Language | English |
| Type | thesis |
| Format | application/pdf |
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