Some remarks about quantum diffusion for Hubbard models

DOI10.1088/0305-4470/33/33/103zbMATH Open0981.82002arXivcond-mat/0012432OpenAlexW3099348240MaRDI QIDQ4520669

Rémy Mosseri

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0012432

zbMATH Keywords

Hubbard models

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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