Quantum simulation of bosonic-fermionic noninteracting particles in disordered systems via a quantum walk

We report on the theoretical analysis of bosonic and fermionic noninteracting systems in a discrete two-particle quantum walk affected by different kinds of disorder. We considered up to 100-step quantum walks with a spatial, temporal, and spatial-temporal disorder observing how the randomness and the wave-function symmetry nontrivially affect the final spatial probability distribution, the transport properties, and the Shannon entropy of the walkers. © 2014 American Physical Society.