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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms

Focus on Cold Atoms in Optical Lattices

Artur Widera1,4, Fabrice Gerbier2,5, Simon Fölling1, Tatjana Gericke1, Olaf Mandel3 and Immanuel Bloch1

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Part of Focus on Cold Atoms in Optical Lattices

We report on precision measurements of spin-dependent interaction-strengths in the 87Rb spin-1 and spin-2 hyperfine ground states. Our method is based on the recent observation of coherence in the collisionally driven spin-dynamics of ultracold atom pairs trapped in optical lattices. Analysis of the Rabi-type oscillations between two spin states of an atom pair allows a direct determination of the coupling parameters in the interaction Hamiltonian. We deduce differences in scattering lengths from our data that can directly be compared to theoretical predictions in order to test interatomic potentials. Our measurements agree with the predictions within 20%. The knowledge of these coupling parameters allows one to determine the nature of the magnetic ground state. Our data imply a ferromagnetic ground state for 87Rb in the f = 1 manifold, in agreement with earlier experiments performed without the optical lattice. For 87Rb in the f = 2 manifold, the data point towards an antiferromagnetic ground state; however our error bars do not exclude a possible cyclic phase.


PACS

31.30.Gs Hyperfine interactions and isotope effects

37.10.De Atom cooling methods

34.50.-s Scattering of atoms and molecules

03.75.Mn Multicomponent condensates; spinor condensates

32.60.+i Zeeman and Stark effects

34.20.Cf Interatomic potentials and forces

Subjects

Quantum gases, liquids and solids

Atomic and molecular physics

Dates

Issue 8 (August 2006)

Received 24 April 2006

Published 30 August 2006



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