26 citations · 48 across the 5 of their papers we have counts for
5 papers
Quantum Boltzmann equation for spin-dependent reactions in the kinetic regime
Martin L. R. Fürst, Markus Kotulla, Christian B. Mendl +1
We derive and analyze an effective quantum Boltzmann equation in the kinetic regime for the interactions of four distinguishable types of fermionic spin- particles, st…
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…
Derivation of a Matrix-valued Boltzmann Equation for the Hubbard Model
Martin L. R. Fürst, Jani Lukkarinen, Peng Mei +1
For the spin-$\{1}{2}$ Fermi-Hubbard model we derive the kinetic equation valid for weak interactions by using time-dependent perturbation expansion up to second order. In recent t…
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…
Semi- and Non-relativistic Limit of the Dirac Dynamics with External Fields
Martin Fürst, Max Lein
We show how to approximate Dirac dynamics for electronic initial states by semi- and non-relativistic dynamics. To leading order, these are generated by the semi- and non-relativis…