  We discuss simulation strategies for the massless lattice Schwinger model
with a topological term and finite chemical potential. The simulation is done
in a dual representation where the complex action problem is solved and the
partition function is a sum over fermion loops, fermion dimers and
plaquette-occupation numbers. We explore strategies to update the fermion loops
coupled to the gauge degrees of freedom and check our results with conventional
simulations (without topological term and at zero chemical potential), as well
as with exact summation on small volumes. Some physical implications of the
results are discussed.
