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Bose-Hubbard model on two-dimensional line graphs

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arxiv 1112.0131 v3 pith:QBKK7Z4N submitted 2011-12-01 cond-mat.stat-mech

Johannes Motruk , Andreas Mielke This is my paper · ORCID
classification cond-mat.stat-mech
keywords cyclesgraphslinebose-hubbardfillinggraphmodelnon-intersecting
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We construct a basis for the many-particle ground states of the positive hopping Bose-Hubbard model on line graphs of finite 2-connected planar bipartite graphs at sufficiently low filling factors. The particles in these states are localized on non-intersecting vertex-disjoint cycles of the line graph which correspond to non-intersecting edge-disjoint cycles of the original graph. The construction works up to a critical filling factor at which the cycles are close-packed.

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  1. Exact Quantum Many-Body Scars in 2D Quantum Gauge Models

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    Exact many-body scar eigenstates of a 2D XY model are mapped via Kramers-Wannier duality to exact scars of a Z2 lattice gauge theory.

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