  The efficient photoionization of a Bose-Einstein condensate requires the
creation of ions with the smallest possible transfer of atoms from the
condensate into the thermal phase. The spontaneous decay from excited states
into atomic states with momentum different from the initial one should be
reduced. We investigate theoretically the two-photon ionization of a rubidium
condensate using near resonant excitation to the 6P state and second photon at
421 nm or 1002 nm into the continuum. Different ionization schemes with
coherent control of the first excitation and reduction of the spontaneous decay
are presented.
