  Bose-Einstein condensates of ultracold atoms serve as low-entropy sources for
a multitude of quantum-science applications, ranging from quantum simulation
and quantum many-body physics to proof-of-principle experiments in quantum
metrology and quantum computing. For stability reasons, in the majority of
cases the energetically lowest-lying atomic spin state is used. Here we report
the Bose-Einstein condensation of caesium atoms in the Zeeman-excited mf = 2
state, realizing a non-ground-state Bose-Einstein condensate with tunable
interactions and tunable loss. We identify two regions of magnetic field in
which the two-body relaxation rate is low enough that condensation is possible.
We characterize the phase transition and quantify the loss processes, finding
unusually high three-body losses in one of the two regions. Our results open up
new possibilities for the mixing of quantum-degenerate gases, for polaron and
impurity physics, and in particular for the study of impurity transport in
strongly correlated one-dimensional quantum wires.
