  We study electronic configurations in a single pair of vertically coupled
self-assembled InAs quantum dots, holding just a few electrons. By comparing
the experimental data of non-linear single-electron transport spectra in a
magnetic field with many-body calculations, we identify the spin and orbital
configurations to confirm the formation of molecular states by filling both the
quantum mechanically coupled symmetric and anti-symmetric states. Filling of
the anti-symmetric states is less favored with increasing magnetic field, and
this leads to various magnetic field induced transitions in the molecular
states.
