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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

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

3 Background Unitary limit Universality BCS-BEC crossover Feshbach resonance

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

5 Equation of state Hamiltonian Zero temperature ground state energy

6 Equation of state

7 Collective modes Hydrodynamic equations Equation of continuity Euler equation

8 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

9 Collective modes

10 Linearization Considering the breathing modes

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

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

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

14 The radial breathing modes compared with experimental data. Collective modes

15 The axial breathing modes compared with experimental data. Collective modes

16 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.

17 Thank you!


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