Quantum simulation of bosonic-fermionic noninteracting particles in disordered systems via a quantum walk
Francesco De Nicola, Linda Sansoni, Andrea Crespi, Roberta Ramponi, Roberto Osellame, Vittorio Giovannetti, Rosario Fazio, Paolo Mataloni, Fabio Sciarrino · Physical Review A · 2014
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.