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Open Quantum Systems Decoherence

Finite-size Effects on The Edge Loss Probability in Non-Hermitian Quantum Walks

arXiv
Authors: Shuaixian Liu, Yulan Dong, Bowen Zeng, Mengqiu Long

Year

2025

Paper ID

36343

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

A dynamical bulk-edge relation in quantum walks has been theoretically proposed and experimentally observed, in which a power-law dependence of the bulk loss probability is associated with a pronounced peak of loss probability at the edge. This behavior has been proven to arise from imaginary gap closing and the non-Hermitian skin effect in the infinite limit without boundary effects. However, in a finite-size chain, we find that boundary scattering can suppress this edge burst. Meanwhile, imaginary gap opening together with the non-Hermitian skin effect, can also induce a large loss probability at the edge. Our results provide insights into finite-size quantum dynamics.

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  • A dynamical bulk-edge relation in quantum walks has been theoretically proposed and experimentally observed, in which a power-law dependence of the bulk loss probability is...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.20106 [2] arXiv https://arxiv.org/abs/2512.20106 [3] Publisher https://arxiv.org/abs/2512.20106

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