  We theoretically investigate the creation of squeezed states of a
Bose-Einstein Condensate (BEC) trapped in a magnetic double well potential. The
number or phase squeezed states are created by modulating the tunnel coupling
between the two wells periodically with twice the Josephson frequency, i.e.,
through parametric amplification. Simulations are performed with the multi
configurational Hartree method for bosons (MCTDHB). We employ optimal control
theory to bring the condensate to a complete halt at a final time, thus
creating a highly squeezed state (squeezing factor of 0.12, $\xi_S^2=-18$ dB)
suitable for atom interferometry.
