Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-12-10
Physics
Condensed Matter
Quantum Gases
9 pages and 9 figures. Couple of new sections were added to include the effect of harmonic trap. Using the compressibility sum
Scientific paper
We study strongly interacting two component Fermi gas near a Feshbach resonance. By using a ground state energy functional constructed based on asymptotic limits and Monte Carlo calculations, we calculate the contact, structure factor, and collective oscillation frequencies in the BCS-BEC crossover region. The calculated contact and structure factor show excellent agreements with recent experiments. We compare these results with a standard mean-field theory and find that the contact is proportional to the square of superfluid order parameter. Further, we present the chemical potential and the polytropic index in terms of homogenous energy and the contact. By generalizing the theory to trapped systems using local density approximation and the polytropic equation of state, we calculate the trapped energies and the contact in an inhomogenous environment. We calculate the collective oscillation frequencies using both hydrodynamic theory and sum rule approach and present these mode frequencies in terms of the contact and homogenous energy.
de Silva Theja N.
DelloStritto Mark
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