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

• URL: http://arxiv.org/abs/2512.20106v1
• Date: Tue, 23 Dec 2025 07:04:01 GMT
• Title: Finite-size Effects on The Edge Loss Probability in Non-Hermitian Quantum Walks
• Authors: Shuaixian Liu, Yulan Dong, Bowen Zeng, Mengqiu Long,
• Abstract summary: A power-law dependence of the bulk loss probability is associated with a pronounced peak of loss probability at the edge.<n>We find that boundary scattering can suppress this edge burst in a finite-size chain.<n>Our results provide insights into finite-size quantum dynamics.
• Score: 0.29165586612027233
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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