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arXiv · 2207.14771

Transport properties in directed Quantum Walks on the line

Rodrigo Chaves·Jaime Santos·Bruno Chagas
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Abstract

We obtained analytical expressions considering a directed continuous-time quantum walk on a directed infinite line using Bessel functions, expanding previous results in the literature, for a general initial condition. We derive the equation for the probability distribution, and show how to recover normal and enhanced decay rates for the survival probability by adjusting the phase factor of the direction of the graph. Our result shows that the mean and standard deviation for a specific non-local initial condition does not depend on the direction.

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Rodrigo Chaves, Jaime Santos, Bruno Chagas. 2022-07-29. Transport properties in directed Quantum Walks on the line. https://arxiv.org/abs/2207.14771

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