arXiv:1312.5538 · Physical Review A
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
Abstract
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.