229 citations · 2.1k across the 110 of their papers we have counts for
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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…
Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
Christian B. Mendl, Francesc Malet, Paola Gori-Giorgi
We address low-density two-dimensional circular quantum dots with spin-restricted Kohn-Sham density functional theory. By using an exchange-correlation functional that encodes the…
Matrix-valued Quantum Lattice Boltzmann Method
Christian B. Mendl
We devise a lattice Boltzmann method (LBM) for a matrix-valued quantum Boltzmann equation, with the classical Maxwell distribution replaced by Fermi-Dirac functions. To accommodate…
Dynamic Correlators of Fermi-Pasta-Ulam Chains and Nonlinear Fluctuating Hydrodynamics
Christian B. Mendl, Herbert Spohn
We study the equilibrium time correlations for the conserved fields of classical anharmonic chains and argue that their dynamic correlator can be predicted on the basis of nonlinea…
N-density representability and the optimal transport limit of the Hohenberg-Kohn functional
Gero Friesecke, Christian B. Mendl, Brendan Pass +2
We derive and analyze a hierarchy of approximations to the strongly correlated limit of the Hohenberg-Kohn functional. These "density representability approximations" are obtained…
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…