Inhibition of spreading in quantum random walks due to quenched Poisson-distributed disorder

Sreetama Das, Shiladitya Mal, Aditi Sen(De), and Ujjwal Sen
Phys. Rev. A 99, 042329 – Published 22 April 2019

Abstract

We consider a quantum particle (walker) on a line that coherently chooses to jump to the left or right depending on the result of a toss of a quantum coin. The lengths of the jumps are considered to be independent and identically distributed quenched Poisson random variables. We find that the spread of the walker is significantly inhibited, whereby it resides in the near-origin region, with respect to the case when there is no disorder. The scaling exponent of the quenched-averaged dispersion of the walker is subballistic but superdiffusive. We also show that the features are universal to a class of sub- and super-Poissonian-distributed quenched randomized jumps.

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  • Received 22 February 2019

DOI:https://doi.org/10.1103/PhysRevA.99.042329

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Quantum Information, Science & TechnologyInterdisciplinary PhysicsGeneral PhysicsStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Sreetama Das, Shiladitya Mal, Aditi Sen(De), and Ujjwal Sen

  • Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, India

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Issue

Vol. 99, Iss. 4 — April 2019

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