229 citations · 2.1k across the 110 of their papers we have counts for
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math-ph2013★ 1 cited
Dynamics of the Bose-Hubbard Chain for Weak Interactions
Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
We study the Boltzmann transport equation for the Bose-Hubbard chain in the kinetic regime. The time-dependent Wigner function is matrix-valued with odd dimension due to integer sp…
math-ph2013★ 26 cited
Matrix-valued Boltzmann equation for the non-integrable Hubbard chain
Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
The standard Fermi-Hubbard chain becomes non-integrable by adding to the nearest neighbor hopping additional longer range hopping amplitudes. We assume that the quartic interaction…