A far-off resonant optical field hybridizes the rotational states of an
anisotropic molecule and aligns its axis along the field's polarization
vector. The hybrid states occur as tunneling doublets of opposite parity
whose splitting can be arbitrarily diminished by raising the intensity
of the optical field. For polar molecules, such quasi-degenerate doublet
states can be efficiently coupled either by the electric dipole
interaction with a superimposed electrostatic field or by the electric
dipole-dipole interaction arising between a pair of polar molecules. I
will discuss both types of couplings and their repercussions for
molecular orientation and for the creation of tunable intermolecular
potentials. The far-off resonant field also imparts angular momentum and
energy to the molecule. The imparted angular momentum adds a centrifugal
term to the molecule's electronic potential that may suffice to expel
the highest vibrational level from the potential. I will discuss how
such a tuned rotational predissociation can be used to accurately
recover the square of the vibrational wave function of the expelled
state as well as the long-range part of the molecular potential. The
energy imparted by the nonresonant field can be used to tune bound
states as well as collisional resonances. I will discuss how the tuning
of collisional resonances might enhance the photoassociation yield. In
an interlude, I will show how to obtain the eigenproperties in closed
form for a class of molecular states in the combined electrostatic and
optical fields by invoking supersymmetry.
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