30 citations · 39 across the 4 of their papers we have counts for
6 papers
The bosonic Hubbard model on a three dimensional flat band lattice
Leon Haag-Fank, Andreas Mielke
The lowest eigenstates of the hopping matrix on the line graph of a cubic lattice with periodic boundary conditions are highly degenerate, they form a lowest flat band. Further, th…
Flow equations for Hamiltonians: Contrasting different approaches by using a numerically solvable model
T. Stauber, A. Mielke
To contrast different generators for flow equations for Hamiltonians and to discuss the dependence of physical quantities on unitarily equivalent, but effectively different initial…
Equilibrium Correlation Functions of the Spin-Boson Model with Sub-Ohmic Bath
T. Stauber, A. Mielke
The spin-boson model is studied by means of flow equations for Hamiltonians. Our truncation scheme includes all coupling terms which are linear in the bosonic operators. Starting w…
Effective rate equations for the over-damped motion in fluctuating potentials
Andreas Mielke
We discuss physical and mathematical aspects of the over-damped motion of a Brownian particle in fluctuating potentials. It is shown that such a system can be described quantitativ…
Noise induced stability in fluctuating, bistable potentials
Andreas Mielke
The over-damped motion of a Brownian particle in an asymmetric, bistable, fluctuating potential shows noise induced stability: For intermediate fluctuation rates the mean occupancy…
On the spin--boson model with a sub--Ohmic bath
Stefan Kehrein, Andreas Mielke
We study the spin--boson model with a sub--Ohmic bath using infinitesimal unitary transformations. Contrary to some results reported in the literature we find a zero temperature tr…