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arXiv 2609.37059cond-mat.quant-gascond-mat.dis-nnquant-ph

准周期梯子中失谐控制的邻近诱导局域化与再入退局域化的量子模拟

Quantum Simulation of Detuning-Controlled Proximity-Induced Localization and Reentrant Delocalization in a Quasiperiodic Ladder

发表机构南洋理工大学 · 国立清华大学
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  • Nanyang Technological University(南洋理工大学)
  • National Tsing Hua University(国立清华大学)

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Mrinal Kanti Giri, Shih Tai-Ming, Pinaki Sengupta, Pochung Chen

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中文总结 AI 辅助

本研究通过量子模拟证明,在准周期梯子中仅对一条腿施加失谐即可诱导邻近腿局域化,并随失谐增大实现退局域化再入,提供可编程控制局域化的新机制。

中文摘要 AI 辅助

我们展示了在失谐准周期梯子中的邻近诱导局域化与再入退局域化。在弱准周期区域,未耦合的Aubry-André链处于扩展态,仅施加于一条腿上的交错失谐通过腿间杂化诱导相邻腿中的局域化。随着失谐进一步增大,纯链重新进入退局域化区域,产生退局域化-局域化-退局域化序列,而无需直接修改其准周期势。我们利用静态局域化诊断识别这些区域,并在IBM Quantum硬件上展示了实验上可访问的动力学特征:邻近局域化区域中波函数扩展被强烈抑制,以及在更大失谐下其再入恢复。这些结果确立了腿选择性失谐作为可编程控制旋钮,用于在耦合准周期系统中诱导和逆转局域化。

英文摘要

We demonstrate proximity-induced localization and re-entrant delocalization in a detuned quasiperiodic ladder. In the weak-quasiperiodic regime, where uncoupled Aubry-André chains are extended, a staggered detuning applied to only one leg induces localization in the neighboring leg through inter-leg hybridization. With further increasing detuning, the pure chain re-enters a delocalized regime, producing a delocalized-localized-delocalized sequence without directly modifying its quasiperiodic potential. We identify these regimes using static localization diagnostics and demonstrate experimentally accessible dynamical signatures on IBM Quantum hardware: strongly suppressed wavefunction spreading in the proximity-localized regime and its re-entrant recovery at larger detuning. These results establish leg-selective detuning as a programmable control knob for inducing and reversing localization in coupled quasiperiodic systems.

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