  We study condensation in two-flavored, scalar QED with non-degenerate masses
at finite chemical potential. The conventional formulation of the theory has a
sign problem at finite density which can be solved using an exact reformulation
of the theory in terms of dual variables. We perform a Monte Carlo simulation
in the dual representation and observe a condensation at a critical chemical
potential $\mu_c$.
  After determining the low-energy spectrum of the theory we try to establish a
connection between $\mu_c$ and the mass of the lightest excitation of the
system, which are naively expected to be equal. It turns out, however, that the
relation of the critical chemical potential to the mass spectrum in this case
is non-trivial: Taking into account the form of the condensate and making some
simplifying assumptions we suggest an adequate explanation which is supported
by numerical results.
