  Motivated by recent experiments, we calculate particle emission from a
Bose-Einstein condensate trapped in a single deep well of a one-dimensional
lattice when the interaction strength is modulated. In addition to pair
emission, which has been widely studied, we observe single-particle emission.
Within linear response, we are able to write closed-form expressions for the
single-particle emission rates and reduce the pair emission rates to
one-dimensional integrals. The full nonlinear theory of single-particle
emission is reduced to a single variable integrodifferential equation, which we
numerically solve.
