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Open Quantum Systems Decoherence

Continuous-time limit of topological quantum walks

arXiv

Authors: Radhakrishnan Balu, Daniel Castillo, George Siopsis, Christian Weedbrook

Year

2016

Paper ID

42274

Status

Preprint

Abstract Read

~2 min

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Abstract

We derive the continuous-time limit of discrete quantum walks with topological phases. We show the existence of a continuous-time limit that preserves their topological phases. We consider both simple-step and split-step walks, and derive analytically equations of motion governing their behavior. We obtain simple analytical solutions showing the existence of bound states at the boundary of two phases, and solve the equations of motion numerically in the bulk.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We derive the continuous-time limit of discrete quantum walks with topological phases.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.07457 [2] arXiv https://arxiv.org/abs/1611.07457 [3] Publisher https://arxiv.org/abs/1611.07457

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