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Open Quantum Systems Decoherence

Quantum Walks on a Random Environment

arXiv
Authors: Yue Yin, D. E. Katsanos, S. N. Evangelou

Year

2007

Paper ID

49421

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

Quantum walks are considered in a one-dimensional random medium characterized by static or dynamic disorder. Quantum interference for static disorder can lead to Anderson localization which completely hinders the quantum walk and it is contrasted with the decoherence effect of dynamic disorder having strength W, where a quantum to classical crossover at time tcpropto W-2 transforms the quantum walk into an ordinary random walk with diffusive spreading. We demonstrate these localization and decoherence phenomena in quantum carpets of the observed time evolution and examine in detail a dimer lattice which corresponds to a single qubit subject to randomness.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • Quantum walks are considered in a one-dimensional random medium characterized by static or dynamic disorder.

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