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Multi-resonant spinor dynamics in a Bose-Einstein condensate

Multi-resonant spinor dynamics in a Bose-Einstein condensate. Jan Peise B. Lücke , M.Scherer , O. Topic, W. Ertmer , C. Klempt Institute of Quantum Optics, Leibniz Universität Hannover G. Gebreyesus , F. Deuretzbacher , L. Santos

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Multi-resonant spinor dynamics in a Bose-Einstein condensate

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  1. Multi-resonant spinor dynamics in a Bose-Einstein condensate Jan Peise B. Lücke, M.Scherer, O. Topic, W. Ertmer, C. Klempt Institute of Quantum Optics, Leibniz Universität Hannover G. Gebreyesus, F. Deuretzbacher, L. Santos Institute of Theoretical Physics , Leibniz Universität Hannover J. Arlt • QUANTOP, Institut forFysikogAstronomi, AarhusUniversitet, Denmark

  2. Light and atoms for interferometry

  3. Parametric amplificationvs. spin dynamics Spinor Bose-Einstein condensate • 87Rb BEC in mF=0 • Spin dynamics • Atoms in mF=±1 Optical parametric amplification Coherent pump Non-linear crystal Signal and idler beam

  4. Content Introduction Experimental setup Spin dynamic resonances Spin dynamics via microwave dressing

  5. 87Rb atoms in a dipole trap 87Rb F=2 mF= -2 -1 0 +1 +2

  6. Absorption detection mF=-1 mF=0 mF=1

  7. Content Introduction Experimental setup Spin dynamic resonances Spin dynamics via microwave dressing

  8. Simplified model for spin dynamics Effective potential for mF=+/-1 atoms DE0; 1 DE0; -1 Multiresonantspinor dynamics in a Bose-Einstein condensate, Klempt et al., Phys. Rev. Lett. 103, 195302 (2009)

  9. Spin dynamic resonances in a cylindrical trap Effective potential with cylindrical symmetry population in mF= ±1 magnetic field

  10. Spatial modes populated by spin dynamics population in mF= ±1 magnetic field magnetic field SpontaneousBreakingofSpatialand Spin Symmetry in SpinorCondensatesScherer, et.al, Phys. Rev. Lett.,105, 135302 (2010)

  11. Content Introduction Experimental setup Spin dynamic resonances Spin dynamics via microwave dressing

  12. Instability rates Instability rate Maximal for In F=1: Instability rate Im[E]

  13. Spin dynamics in F=1 Zeeman splitting in F=1 F=2 U1>0 DE0; -1 Frequency DE0; 1 F=1 U1<0 Magneticfield

  14. Dressed states Reminder Bare states Dressed states Hamiltonian AC Stark shift Ωresonant Rabi frequency ωlaserfrequency ω0atomicfrequency

  15. Microwave dressing F=2 Resonance frequency-6 834 683 Hz F=1 Fixed magnetic field No spin dynamics mF=-2 mF=-1 mF=0 mF=1 mF=2

  16. Spin dynamics via microwave dressing

  17. Thank you for your attention.

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