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Ultracold atoms at typical condensate temperatures and densities have recently been predicted to be ideally suited to the creation of ultra-long-range molecules, formed from one ground state atom and one highly excited atom.[1] The Born-Oppenheimer potential curves are highly oscillatory, with a peculiar appearance that resembles the atomic radial wavefunctions. In fact, two qualitatively different classes of molecular states can be formed. One class involves a low angular momentum Rydberg state and is nonpolar, while the other class involves high angular momentum and can form a permanent dipole moment in the kilodebye range. My colloquium will discuss the physical origin of these unusual molecular states, focussing on the latter class whose electronic density resembles a trilobite. An interpretation of their unusual properties will be developed using quantal, classical, and semiclassical perspectives.
[1] C. H. Greene, A. S. Dickinson, and H. R. Sadeghpour, Phys. Rev. Lett. 85,
2458 (2000).
This work was supported by NSF.
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