Quantum walk on a comb with infinite teeth

François David; Thordur Jonsson

doi:10.1088/1751-8121/ac4897

Quantum walk on a comb with infinite teeth

François David, Thordur Jonsson^*

^*Corresponding author for this work

Faculty of Physical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We study continuous time quantum walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t -1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probability. The walk along the spine and into the teeth behaves qualitatively as a quantum walk on a line. This behaviour is quite different from that of classical random walk on the comb.

Original language	English
Article number	095304
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	9
DOIs	https://doi.org/10.1088/1751-8121/ac4897
Publication status	Published - 4 Mar 2022

Bibliographical note

Funding Information:
TJ is grateful for hospitality at IPhT, Saclay. FD is grateful for hospitality at Science Institute, U. of Iceland, Reykjavik. FD was partly funded by the ERC-SyG project, Recursive and Exact New Quantum Theory (ReNewQuantum) which received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 810573.

Publisher Copyright:
© 2022 IOP Publishing Ltd.

Other keywords

comb
quantum
random walk

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Quantum walk on a comb with infinite teeth

Abstract

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