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

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

2006-10-05

arxiv.org/abs/cond-mat/0610135v1

Phys. Rev. A 73, 061604(R), 2006

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.73.061604

We 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.

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