Hannover 2013 – scientific programme
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A: Fachverband Atomphysik
A 29: Poster: Ultra-cold atoms, ions and BEC (with Q)
A 29.27: Poster
Wednesday, March 20, 2013, 16:00–18:30, Empore Lichthof
Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions — •Tao Yin1,2, Peng Zhang2, and Wei Zhang2 — 1Institut für Theoretische physik, Goethe-Universität, 60438 Frankfurt/Main, Germany — 2Department of Physics, Renmin University of China, Beijing 100872, People’s Republic of China
We study few-body problems in mixed dimensions with two or three heavy atoms trapped individually in parallel one-dimensional tubes or two-dimensional disks, and a single light atom travels freely in three dimensions. By using the Born-Oppenheimer approximation, we find three- and four-body bound states for a broad parameter region. Specifically, the existence of trimer and tetramer states persist to negative scattering lengths regime, where no two-body bound state is present. As pointed out by Nishida in an earlier work [Phys. Rev. A 82, 011605(R) (2010)], these few-body bound states are stable against three-body recombination due to geometric separation. In addition, we find that the binding energy of the ground trimer and tetramer state reaches its maximum value when the scattering lengths are comparable to the separation between the low-dimensional traps.