  Within the framework of a phenomenological quantization scheme, we present
the quantization of the electromagnetic field in the presence of a moving
absorptive and dispersive magneto-dielectric slab (MDS) with uniform velocity
in the direction parallel to its interface. We derive the quantum input-output
relations for the case that quantum states propagate perpendicularly to the
moving MDS.We thoroughly investigate the impact of the motion of the movingMDS
on quantum properties of the incident states. To illustrate this, by modeling
the dispersive and dissipative effects of the slab by the Lorentz model in its
rest frame, we compute the quadrature squeezing and the Mandel parameter for
the transmitted state when the incident states from left and right sides are,
respectively, the coherent and the quantum vacuum states. It is shown that how
quantum features of the incident state are degraded when it is transmitted
through the moving MDS.
