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多光子耗散量子传感中的可观测标度层级

Observable Scaling Hierarchies in Multiphoton Dissipative Quantum Sensing

Shahram Panahiyan

arXiv 2608.18157首次发表:更新:

AI 中文总结

该研究探究压缩驱动场的量子关联对耗散多光子量子传感标度定律的影响,发现独立与联合压缩场对应不同标度,正规序可观测量的有效非线性阶次会减少1,为基于结构化压缩光的量子传感协议提供设计原则。

AI 中文摘要

我们研究压缩驱动场中的量子关联如何决定耗散多光子量子传感中的标度定律。独立压缩场产生“因式分解”标度,具有分离的吸收和发射贡献,以及抑制线性过程中指数标度的非线性阈值。相反,联合压缩场产生由耗散相互作用的总非线性光子阶次决定的“集体”标度。值得注意的是,我们证明正规序可观测量并不继承潜在多光子涨落的全部非线性标度,而是表现出有效非线性阶次减少1的渐近行为,这是因为正规序可观测量仅探测潜在多光子涨落结构的一部分。这些发现揭示了多光子涨落、量子关联和测量结构如何共同决定非线性耗散量子传感器的实验可实现灵敏度,并建立了基于结构化压缩光的量子传感协议的设计原则。

英文摘要

We investigate how quantum correlations in squeezed driving fields determine scaling laws in dissipative multiphoton quantum sensing. Independently squeezed fields yield \emph{factorized} scaling, with separate absorption and emission contributions and nonlinear thresholds that suppress exponential scaling in linear processes. In contrast, jointly squeezed fields generate \emph{collective} scaling governed by the total nonlinear photon order of the dissipative interaction. Remarkably, we show that normally ordered observables do not inherit the full nonlinear scaling of the underlying multiphoton fluctuations. Instead, they exhibit asymptotic behavior with an effective nonlinear order reduced by one. This arises because normally ordered observables probe only part of the underlying multiphoton fluctuation structure. These findings reveal how multiphoton fluctuations, quantum correlations, and measurement structure jointly determine the experimentally accessible sensitivity of nonlinear dissipative quantum sensors and establish design principles for quantum sensing protocols based on structured squeezed light.

Comments15 pages, 3 figures, and 1 table

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