Boundary effects on quantum q-breathers in a Bose-Hubbard chain

Details Boundary effects on quantum q-breathers in a Bose-Hubbard chain Boundary effects on quantum q-breathers in a Bose-Hubbard chain

2008-10-15

arxiv.org/abs/0810.2655v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 11 figures. With minor corrections. Accepted in Physica D

Scientific paper

10.1016/j.physd.2008.12.013

We investigate the spectrum and eigenstates of a Bose-Hubbard chain containing two bosons with fixed boundary conditions. In the noninteracting case the eigenstates of the system define a two-dimensional normal-mode space. For the interacting case weight functions of the eigenstates are computed by perturbation theory and numerical diagonalization. We identify paths in the two-dimensional normal-mode space which are rims for the weight functions. The decay along and off the rims is algebraic. Intersection of two paths (rims) leads to a local enhancement of the weight functions. We analyze nonperturbative effects due to the degeneracies and the formation of two-boson bound states.

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