Localization-delocalization transition in discrete-time quantum walks with long-range correlated disorder.
basic_science · Level V
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- Record sourced from PubMed, PMID 30934307.
- Also identified by DOI 10.1103/PhysRevE.99.022117.
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Abstract
We study the effects of spatially long-range correlated phase disorder on the Hadamard quantum walk on a line. The shift operator is built to exhibit an intrinsic disorder distribution featuring long-range correlations. To impose such, we resort to fractional Brownian motion with power-law spectrum 1/k^{2α} with α≥0 being the exponent that controls the degree of correlations. We discuss the scaling behavior of the walker's wave packet and report a localization-delocalization transition controlled by α. We unveil two intermediate dynamical regimes between exponential localization and full delocalization.