Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 55: Poster II

Q 55.12: Poster

Thursday, March 11, 2010, 16:00–19:00, Lichthof

Three-body bound states in a lattice — •Manuel Valiente^1,2, David Petrosyan¹, and Alejandro Saenz² — ¹IESL-FORTH, Heraklion, Greece — ²Institut für Physik, Humboldt Universität zu Berlin, Berlin, Germany

We investigate the three-boson problem in a deep one-dimensional lattice with nearest neighbor hopping and pairwise on-site interaction. We find that, apart from the trivial bound states of three particles strongly co-localized on the same lattice site, there exist two other bound states essentially composed of a bound pair [1,2]-- "dimer" -- and a third particle -- "monomer" -- weakly bound to the pair [2]. The energy of such states can be above or below the continuum of dimer-monomer collisions. We explain these new exotic states in term of an effective model in the strong-coupling regime and find that the binding is induced by an exchange operator between the dimer and the monomer.

References [1] K. Winkler et al., Nature 441, 853 (2006) . [2] M. Valiente and D. Petrosyan, J. Phys. B 41, 161002 (2008); ibid. 42, 121001 (2009). [3] M. Valiente, D. Petrosyan and A. Saenz, Phys. Rev. A (in press); arXiv:0907.3111 .