• Rapid Communication

Continuous-time quantum walks on spatially correlated noisy lattices

Matteo A. C. Rossi, Claudia Benedetti, Massimo Borrelli, Sabrina Maniscalco, and Matteo G. A. Paris
Phys. Rev. A 96, 040301(R) – Published 4 October 2017
PDFHTMLExport Citation

Abstract

We address memory effects and diffusive properties of a continuous-time quantum walk on a one-dimensional percolation lattice affected by spatially correlated random telegraph noise. In particular, by introducing spatially correlated time-dependent fluctuations in nearest-neighbor hopping amplitudes, we describe random domains characterized by global noise. The resulting open dynamics of the walker is then unraveled by an ensemble average over all the noise realizations. Our results show that time-dependent noise assisted by spatial correlations leads to strong memory effects in the walker dynamics and to robust diffusive behavior against the detrimental action of uncorrelated noise. We also show that spatially correlated classical noise enhances localization breaking, thus making a quantum particle spread on longer distances across the lattice.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 6 July 2017

DOI:https://doi.org/10.1103/PhysRevA.96.040301

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Matteo A. C. Rossi1,*, Claudia Benedetti1, Massimo Borrelli2, Sabrina Maniscalco2,3, and Matteo G. A. Paris1

  • 1Quantum Technology Lab, Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy
  • 2Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto, Finland
  • 3Center for Quantum Engineering, Department of Applied Physics, Aalto University School of Science, FI-00076 Aalto, Finland

  • *matteo.rossi@unimi.it

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 4 — October 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×