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Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential

2008/03/05 by Manuel Valiente, M. Valiente, David Petrosyan +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1209/0295-5075/83/30007

published as Europhys. Lett. 83, 30007 (2008) · 6 pages, 6 figures

arxiv created 2008/03/05 · openalex publication_date 2008/07/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Strongly interacting bosonic particles in a tight-binding periodic potential superimposed by a weak parabolic trap is a paradigm for many cold atom experiments. Here, after revisiting the single-particle problem, we study interaction-bound dimers of bosonic atoms in the combined lattice and parabolic potential. We consider both repulsively and attractively bound dimers and find pronounced differences in their behaviour. We identify conditions under which attractive and repulsive dimers exhibit analogous dynamics. Our studies reveal that coherent transport and periodic oscillations of appropriately prepared one- and two-atom wave packets can be achieved, which may facilitate information transfer in optical-lattice–based quantum computation schemes.

Citations