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Phase separation in optical lattices in spin-dependent external potentials

Phase separation in optical lattices in spin-dependent external potentials. 高 先龙. 合作者：陈阿海. Aug 5, 2010 第四届全国冷原子物理和量子信息青年学者学术讨论会. Outline. Introduction Motivation: spin-dependent potential off-diagonal confinement Some results

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Phase separation in optical lattices in spin-dependent external potentials

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  1. Phase separation in optical lattices in spin-dependent external potentials 高 先龙 • 合作者：陈阿海 Aug 5, 2010 第四届全国冷原子物理和量子信息青年学者学术讨论会

  2. Outline • Introduction • Motivation: spin-dependent potential • off-diagonal confinement • Some results • Conclusions

  3. Tunabilities in quantum gases Dimensionality Interaction External potential Continuous/discrete systems Disorder Components/population imbalance Static/dynamics

  4. Dimensionality N ~100-1000 atoms thanks to Markus Greiner

  5. Interaction D. Jaksch et al., PRL81, 3108 (98) Indirectly by lasers Directly by Feshbach resonance

  6. External potential d

  7. External potential confinement+interaction new methods demanded

  8. Continuous/discrete systems z potential along z Inhomogeneous 1D Gaudin/Yang model Observed by H. Moritz et al., PRL94, 210401 (2005)

  9. Confinement-induced resonance M. Olshanii, PRL81, 938 (98) G. Xianlong et al., PRA73, 033609 (06)

  10. Continuous/discrete systems t t U t t = Inhomogeneous 1D Hubbard model

  11. To observe the optical peak density: absorption images of expanded clouds

  12. Disorder ei D speckle intensity Billy et al., Nature453, 891(2008) Roati et al., Nature453, 895 (2008)

  13. Components/population imbalance

  14. Components/population imbalance

  15. Static/dynamics Quantum Newton’s cradle Kinoshita, Nature 440, 900 (2006)

  16. Spin-charge separation in 1D GXL et al., PRL(2008); GXL, PRB(2010)

  17. Outline • Introduction • Motivation: spin-dependent potential • off-diagonal confinement • Some results • Conclusions

  18. The Phase Diagram: Hubbard model n=Nf /Ns 2 Band insulator Band insulator Luttinger Liquid 1 Mott insulator Luther-Emery Liquid Luttinger Liquid 0 u=U/t E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)

  19. Phases induced by spin-independent external potential U＞０ U<０ See M. Rigol et al., PRL91, 130403 (2003) GXL et al., PRL98, 030404 (2007)

  20. To realize spin-dependent external potential * Potassium 40, DeMarco and Jin, Science 285, 1703(99) * Unequal masses Blume, PRA78, 013613(08) * Spin-dependent optical trap: asymmetrically detuning the laser frequencies with respect to the two hyperfine states Iskin and Williams, PRA77, 013605(08)

  21. Phase Separation induced by external potential

  22. Outline • Introduction • Motivation: spin-dependent potential • off-diagonal confinement • Some results • Conclusions

  23. The effects of interaction on phase separation P=0

  24. 3D Plots for

  25. Contour plot

  26. The effects of spin-dependent trapping on PS P=0 Weak interaction

  27. Strong interaction

  28. 3D Plots for u=5

  29. Contour plot

  30. Phase diagram for P=0

  31. Phase diagram for P=0.5

  32. The effects of trap ratio on Mott phase CAH & GXL, PRA81

  33. Phase diagram for Mott phase

  34. CAH & GXL, PRA81

  35. Phase separation for mass imbalance

  36. Diagonal confinement off-diagonal confinement

  37. Fermi-Hubbard model with ODC

  38. Density distribution with varying N CAH, GXL, in preparation

  39. Chemical potential

  40. Outline • Introduction • Motivation: spin-dependent potential • off-diagonal confinement • Some results • Conclusions

  41. Conclusions: * Fermions can be phase-separated in a spin-dependent external potential by repulsive interaction * Increase the trap imbalance, Mott phase ferromagnetic insulating phase * Critical U exists in the spin-dependent system

  42. Thanks for your attention!

  43. 尖峰山 1300m 470m 欢迎各位访问我校：浙江师范大学

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