Decay modes of two repulsively interacting bosons

Details Decay modes of two repulsively interacting bosons Decay modes of two repulsively interacting bosons

2011-06-30

arxiv.org/abs/1106.6109v2

J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 195301

Physics

Atomic Physics

18 pages, 13 figures

Scientific paper

10.1088/0953-4075/44/19/195301

We study the decay of two repulsively interacting bosons tunneling through a delta potential barrier by direct numerical solution of the time-dependent Schr\"odinger equation. The solutions are analyzed according to the regions of particle presence: both particles inside the trap (in-in), one particle in and one particle out (in-out), and both particles outside (out-out). It is shown that the in-in probability is dominated by exponential decay, and its decay rate is predicted very well from outgoing boundary conditions. Up to a certain range of interaction strength the decay of in-out probability is dominated by the single particle decay mode. The decay mechanisms are adequately described by simple models.

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