Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates

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dc.creatorHiller, Moritz
dc.creatorKottos, Tsampikos
dc.creatorGeisel, T.
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:27:21Z
dc.date.available2026-07-07T07:27:21Z
dc.descriptionWe consider a family of chaotic Bose-Hubbard Hamiltonians (BHH) parameterized by the coupling strength $k$ between neighboring sites. As $k$ increases the eigenstates undergo changes, reflected in the structure of the Local Density of States. We analyze these changes, both numerically and analytically, using perturbative and semiclassical methods. Although our focus is on the quantum trimer, the presented methodology is applicable for the analysis of longer lattices as well.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610135
dc.identifierhttp://arxiv.org/abs/cond-mat/0610135
dc.identifierPhys. Rev. A 73, 061604(R), 2006
dc.identifierdoi:10.1103/PhysRevA.73.061604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117351
dc.subjectOther Condensed Matter
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleComplexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
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