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

dc.creatorPinto, Ricardo A.
dc.creatorNguenang, Jean Pierre
dc.creatorFlach, Sergej
dc.date2008-10-15
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:30:55Z
dc.date.available2026-07-07T12:30:55Z
dc.descriptionWe 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.
dc.description10 pages, 11 figures. With minor corrections. Accepted in Physica D
dc.identifierhttps://arxiv.org/abs/0810.2655
dc.identifierhttp://arxiv.org/abs/0810.2655
dc.identifierdoi:10.1016/j.physd.2008.12.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216285
dc.subjectMesoscale and Nanoscale Physics
dc.subjectOther Condensed Matter
dc.titleBoundary effects on quantum q-breathers in a Bose-Hubbard chain
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