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, and Fabio Sciarrino
Phys. Rev. A 89, 032322 – Published 13 March 2014
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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.

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  • Received 16 December 2013

DOI:https://doi.org/10.1103/PhysRevA.89.032322

©2014 American Physical Society

Authors & Affiliations

Francesco De Nicola1, Linda Sansoni1,*, Andrea Crespi2,3, Roberta Ramponi2,3, Roberto Osellame2,3, Vittorio Giovannetti4, Rosario Fazio4,5, Paolo Mataloni1,6, and Fabio Sciarrino1,6

  • 1Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Roma, Italy
  • 2Istituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche (IFN-CNR), Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
  • 3Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
  • 4NEST, Scuola Normale Superiore and Istituto di Nanoscienze–CNR, I-56126 Pisa, Italy
  • 5Center for Quantum Technologies, National University of Singapore, 117542 Singapore, Singapore
  • 6Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche (INO-CNR), Largo Enrico Fermi 6, I-50125 Firenze, Italy

  • *linda.sansoni@gmail.com

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Vol. 89, Iss. 3 — March 2014

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