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Efimov Physics in a Many-Body Background

Efimov Physics in a Many-Body Background. Nikolaj Thomas Zinner University of Aarhus Denmark. Efimov Effect. Vitaly Efimov 1970 Identical bosons in 3D have an infinite ladder of three-body bound states when there is a two-body bound state at zero energy. Ultracold atoms.

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Efimov Physics in a Many-Body Background

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  1. Efimov Physics in a Many-Body Background Nikolaj Thomas Zinner University of Aarhus Denmark October 13th 2011, Erice, Italy

  2. EfimovEffect VitalyEfimov 1970 Identicalbosons in 3D have an infiniteladder of three-bodyboundstateswhenthere is a two-bodyboundstate at zeroenergy

  3. Ultracold atoms Experimental observation – Grimm group. 133-Cesium Nature 440, 315 (2006). Many observations have followedusingdifferentatomic species! Florence group – 39K, Nature Phys. 5, 586 (2009). Bar Ilangroup – 7Li, PRL 103, 163202 (2009). Rice group – 7Li, Science 326, 1683 (2009). Evidence of four-body! Florence group – 41K-87Rb, PRL 103, 073202 (2009). Heteroatomic mixture! Three-component6Li fermionic systems! Heidelberg group, PRL 101, 203202 (2008). Penn State group, PRL 102, 165302 (2009). Tokyo group, PRL 105, 023201 (2010). New experimentaltechnique: Radio-frequency association of 6Li trimers. Heidelberg group, Science 330, 940 (2010). Tokyo group, PRL 106, 143201 (2011).

  4. BackgroundEffects? Externalconfinement Non-universality Finitetemperature Quantum degeneracy CondensedBoseordegenerateFermi systems

  5. Outline Effects of Fermidegeneracyontwo-bodyphysics Implementation in the three-body problem Spectrum and spectral flow Realisticthree-component6Li systems Outlook

  6. Reductionism kF Simplify the problem – Single Fermisea! Top-down approach. ImplementFermisea in onecomponent – addtwoothers – considerthree-bodyboundstates! Natural to considerthings in momentum space.

  7. Cooper pair inspiration Dimerpropagator Vacuum D(q,E) Include single Fermisea: Criticalvalue for bounddresseddimer:

  8. Three-body problem Momentum-spacethree-bodyequations Skornyakov and Ter-Martirosian, Zh.Eksp. Teor. Fiz. 31, 775 (1957). Boundstates: Needsregularization! Usemethod of Danilov, Zh.Eksp. Teor. Fiz. 40, 498 (1961). Nice recent discuss by Pricoupenko, Phys. Rev. A 82, 043633 (2010)

  9. SpectrumwithFermisea Increasing kF kF/k*=0.05

  10. Spectral Flow 22.7 EfimovScaling! kF/k*=0.05

  11. The 6Li system k*=6.9*10-3 a0-1 kF=0.01k* n~1011 cm-3

  12. The 6Li system k*=6.9*10-3 a0-1 kF=0.03k* n~1012 cm-3

  13. The 6Li system k*=6.9*10-3 a0-1 kF=0.06k* n~1013 cm-3

  14. Observability? Densities have beentoo small ormeasurements have not beenaround the secondtrimerthreshold point. Trimermovesoutsidethreshold regime D’Incaoet al. PRL 93, 123201 (2004). Perhaps not a problem Wang and Esry New. J. Phys. 13, 035025 (2011). Dimer regime is hardersincelowestEfimovstate has large binding energy.

  15. Outlook Different masses and interactions. More Fermiseas. Normal Fermiliquidcanbecome superfluid. Bose gases normal and condensed. Scattering problems in the presence of backgrounds. Non-universalcorrections.

  16. Take-homemessage Therearebackgroundeffects in Efimovphysics. Theyarelikelyclose to experimental regimes. New universal physicscanappear. Efimovphysics ’survives’ many-bodyphysics!

  17. Acknowledgments Nicolai Nygaard Aksel Jensen, DmitriFedorov, Georg Bruun Thomas Lompe for experimentaldetails. Bernhard Wunsch, Eugene Demler, Fei Zhou, Charles Wang. Born-Oppenheimer limit and analytics – MacNeill and Zhou PRL 106, 145301 (2011).

  18. Thankyou for your attention! Enjoy the dinner!

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