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Escape dynamics of Bose-Hubbard dimer out of a trap

arXiv
Authors: Dmitrii N. Maksimov, Andrey R. Kolovsky

Year

2013

Paper ID

31968

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We consider a potential scattering of Bose-Hubbard dimer in 1D optical lattice. A numerical approach based on effective non-Hermitian Hamiltonian has been developed for solving the scattering problem. It allows to compute the tunneling and dissociation probabilities for arbitrary shape of the potential barrier and arbitrary kinetic energy of the dimer. The developed approach has been used to address the problem of two-particle decay out of a trap. In particular, it is shown that the presence of dissociation channels significantly decreases non-escape probability due to single-particle escape to those channels.

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  • We consider a potential scattering of Bose-Hubbard dimer in 1D optical lattice.

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