Resonant States of Wave Propagation in Disordered System of Bosonic Particles

We demonstrate the effects of an induced disorder (or a free-orientation : $\theta$ which is related to the relative direction of scattering of particles w.r.t. to the normal of the propagating plane-wave front) upon the possible resonance of the plane (sound) wave propagating in Bose gases by using the quantum kinetic equations. We firstly present the diverse dispersion relations obtained by the relevant Pauli-blocking parameter $B$ (which describes the Bose particles when $B$ is positive) and the free-orientation $\theta$ and then, based on the acoustic analog, address the possible resonant states.