Coherent vibrational and rotational dynamics of the Li-2 molecule is contro
lled by varying the relative phases, phi(n), of the rovibrational wavepacke
t components, \n > e(-i(omega nt+phi n)). The coherent superposition is cre
ated by excitation of a set of ten rovibronic E (1)Sigma(g)(+)(nu(E)=12-16,
J(E)=17, 19) states from an intermediate state, A (1)Sigma(u)(+)(nu(A)=14,
J(A)=18), using ultrashort optical pulses with well defined spectral ampli
tudes and phases encoded into the pulse by a liquid crystal spatial light m
odulator. The wavepacket is probed by time-dependent photoionization and th
e quantum interference signal is measured as a total ionization yield. The
phases of the wavepacket components are optimized to produce partial locali
zation of the wavepacket at a given time t, in specific regions of three-di
mensional space defined by the radial and angular coordinates. As a result,
the ionization yield, I(t), is maximized or minimized at a time t. The deg
ree of control achieved in the experiment (I-max-I-min)/I-max=64(+/- 12%).
The experimental data are interpreted in terms of time-dependent radial and
angular probability distributions, calculated for different initial condit
ions that are determined by the phase relationships in the excitation pulse
.