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Correlation Effect in the Normal State of a Dipolar Fermi Gas

Lan Yin School of Physics, Peking University. Correlation Effect in the Normal State of a Dipolar Fermi Gas. Collaborator: Bo Liu. Outline. (1) Introduction (2) Correlation energy (3) Lifetime of quasi-particles (4) Conclusion. (1) Introduction.

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Correlation Effect in the Normal State of a Dipolar Fermi Gas

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  1. Lan Yin School of Physics, Peking University Correlation Effect in the Normal State of a Dipolar Fermi Gas Collaborator: Bo Liu

  2. Outline (1) Introduction (2) Correlation energy (3) Lifetime of quasi-particles (4) Conclusion

  3. (1) Introduction Creating 87Rb40K polar molecules (JILA) Electric dipole: 0.052(2) Debye (Triplet ground state) 0.566(17) Debye (Singlet) Density~1012 cm-3 Temperature~2TF Stimulated Raman adiabatic passage

  4. Dipole-Dipole interaction ( Long-range and anisotropic ) • Consequences: • Anisotropic self-energy and Fermi surface Variational result Low-density limit (T. Miyakawa, T. sogo, H. Pu; S. Ronen, J. Bohn; J.-N. Zhang, S. Yi…)

  5. (2) Critical density of mechanical collapse (T. Miyakawa, T. sogo, H. Pu) (J.-N. Zhang, S. Yi) (3) P-wave superfluid and other novel states…

  6. (2) Correlation Energy Hartree-Fock ground state energy (S. Ronen, J. Bohn) Motivation: In low density limit, the first-order Fock energy is zero. Therefore Fock and correlation energies are of the same order and importance.

  7. Hamiltonian Perturbation theory Unperturbed ground state First-order perturbation

  8. Second-order perturbation Collision process

  9. Mechanical collapse with high density Chemical potential Critical density ( in H-F approximation; by zero sound)

  10. Proposed energy-density-functional in a trap (Including kinetic, trap, Hartree-Fock, and correlation energies) Critical molecule number under exp. conditions Singlet Triplet

  11. (3) Lifetime of quasi-particles Beyond Hatree-Fock approximation, lifetime of quasi-particles is infinite only at Fermi surface. Decay rate of quasi-particles can be obtained from 2nd-order self-energy diagrams (b) (a)

  12. Decay rate of quasi-particles

  13. Anisotropic decay rate Decay rate is smaller in dipole direction, and larger in perpendicular direction.

  14. (4) Conclusion • Correlation and Fock energies of the same order. • Critical density of mechanical collapse. • A new energy density functional. • Anisotropic decay rate of quasi-particles.

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