Collective modes of a trapped strongly interacting Fermi gas near the unitary limit regime 陆振帮华中师范大学粒子物理研究所 (IOPP, CCNU) 武汉科技学院理学院 (WUSE) 合肥 2009.

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Collective modes of a trapped strongly interacting Fermi gas near the unitary limit regime 陆振帮华中师范大学粒子物理研究所 (IOPP, CCNU) 武汉科技学院理学院 (WUSE) 合肥 2009

OUTLINE 1. Background 2. Equation of state 3. Collective modes 4. Summary

Background Unitary limit Universality BCS-BEC crossover Feshbach resonance

Background Collective behavior Hydrodynamics Breathing modes Exp. data Strongly interacting many-body problem Ground state energy Equation of state (EOS)

Equation of state Hamiltonian Zero temperature ground state energy

Equation of state

Collective modes Hydrodynamic equations Equation of continuity Euler equation

Collective modes Polytropic EOS Dilute gas of Fermi atoms in both hydrodynamic and superfluid limits Fermi gas and BEC in unitary limit Dilute interaction dominated BEC

Collective modes

Linearization Considering the breathing modes

Collective modes In an axial symmetric trap where is the anisotropy parameter.

Collective modes ± signs correspond to the radial and axial modes respectively. purely geometric, irrelevant to EOS.

In a cigar-shaped trap as being equipped in the experiments whose data are now available The radial modes: The axial modes: Collective modes

The radial breathing modes compared with experimental data. Collective modes

The axial breathing modes compared with experimental data. Collective modes

Summary With the proposed equation of state, we have analyzed the hydrodynamic modes. For Fermi gas in a cigar-shaped harmonic trap potential, the radial and axial breathing mode frequencies are derived. The results are in agreement with the experimental measurements.

Thank you!