Some remarks about quantum diffusion for Hubbard models

Details Some remarks about quantum diffusion for Hubbard models Some remarks about quantum diffusion for Hubbard models

2000-12-22

arxiv.org/abs/cond-mat/0012432v1

J. Phys. A: Math.Gen, vol 33 (2000) L319

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages

Scientific paper

10.1088/0305-4470/33/33/103

Some exact results are given, that connect, for a general magnitude of the interaction term $U$, the repulsive and attractive Hubbard model, in terms of the eigenspectra and quantum diffusion properties. In particular, it is shown that, for some initial conditions, the quantum evolution cannot differenciate between the attractive and repulsive models. These results apply to both fermionic and bosonic models, in any dimension and for general filling, as far as the underlying structure is bipartite.

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