A1 Refereed original research article in a scientific journal
Continuous-time quantum walks on spatially correlated noisy lattices
Authors: Rossi MAC, Benedetti C, Borrelli M, Maniscalco S, Paris MGA
Publisher: AMER PHYSICAL SOC
Publication year: 2017
Journal: Physical Review A
Journal name in source: PHYSICAL REVIEW A
Journal acronym: PHYS REV A
Article number: ARTN 040301
Volume: 96
Issue: 4
Number of pages: 5
ISSN: 2469-9926
eISSN: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.96.040301
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/27880882
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.
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