Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain.
作者： Martin L. R. Fürst , Christian B. Mendl , Herbert Spohn
DOI: 10.1103/PHYSREVE.88.012108
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摘要: The standard Fermi-Hubbard chain becomes nonintegrable by adding to the nearest neighbor hopping additional longer range amplitudes. We assume that quartic interaction is weak and investigate numerically dynamics of on level Boltzmann type kinetic equation. Only spatially homogeneous case considered. observe huge degeneracy stationary states in lost convergence thermal Fermi-Dirac distribution restored. equilibrium exponentially fast. However for small next-nearest amplitudes one has a rapid relaxation towards manifold quasistationary slow final state.
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