Adiabatic dynamics of low-lying collective modes in the BEC-BCS crossover
| Title: | Adiabatic dynamics of low-lying collective modes in the BEC-BCS crossover |
| Author: | Jiang, Minxi |
| Abstract: | 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. |
| Department: | Physics |
| Subject: |
BEC-BCS crossover
Low-lying collective modes Adiabatic dynamics |
| URI: | http://hdl.handle.net/2152/ETD-UT-2011-08-4288 |
| Date: | 2011-08 |
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