Quantum optics and moving dissipative media: A phenomenological approach

In this paper, we present a phenomenological quantization of the electromagnetic field in the presence of a moving absorptive and dispersive magnetodielectric slab (MDS) with uniform velocity in the direction parallel to its interface. As our main result, we use this quantization scheme to derive the quantum input-output relations for the case in which quantum states propagate perpendicularly to the moving MDS. We thoroughly investigate the impact of the motion of the moving MDS on quantum properties of the incident states. To illustrate this, 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. We find that the quantum features of the incident state are degraded through transmission in the moving MDS in the low- and moderate-velocity ranges.