Population inversion in an atomic or molecular medium leads to the pos
sibility of superluminal propagation of off-resonance, finite-bandwidt
h electromagnetic wave packets, whose phase, group, energy, and 'signa
l' velocities, as defined by Sommerfeld and Brillouin, all exceed the
vacuum speed of light c. Einstein causality is not violated, since the
front velocity is c. Here we propose an experiment to observe superlu
minal propagation of laser pulses detuned from a stimulated Raman tran
sition in optically pumped rubidium vapour. The inversion of populatio
ns can also lead to a parelectric medium with negative Dc electric sus
ceptibility, thus implying the possibility of the levitation of an ele
ctrical charge in the vacuum above this medium. Stable electrostatic c
onfigurations of charges placed inside an evacuated cavity surrounded
by this medium exist, in seeming violation of Earnshaw's theorem. An e
xperiment is proposed to observe parelectricity in ammonia gas.