AI 中文总结
研究量子力学非线性模型在高频模式下能否避强测量检测，通过定义时间不可区分性假设和构建非线性玩具模型，证明桌面弱后选择测量可检测非线性行为并限制高频模式。
AI 中文摘要
在本工作中，我们研究如果量子力学的非线性效应仅以高频模式存在，其非线性模型是否能避免被强测量检测到。一个可能隐藏此类模式的潜在物理过程是在基本不可区分的时间上进行幅度水平时间平均。为此，我们定义了描述平均过程的时间不可区分性假设，并精心构建了一个适合避免检测的非线性玩具模型。我们证明，即使在这样的理想设置下，桌面弱后选择测量仍能检测到非线性行为，并对演化的非线性高频模式施加限制，即使在超越基本最小时间分辨率的频率下。
英文摘要
In this work we study whether nonlinear models of quantum mechanics can avoid detection by strong measurements, if the nonlinear effects only exist as high frequency modes. A potential physical process which could hide such modes would be amplitude level time averaging over fundamentally indistinguishable times. To that end, we have defined a temporal indistinguishability postulate which describes the averaging process, and handcrafted a nonlinear toy model well suited to avoid detection. We have demonstrated that even in such an ideal setup, tabletop weak postselected measurements can still detect nonlinear behavior and put constraints on nonlinear high frequency modes of evolution, even at frequencies beyond fundamental minimal temporal resolution.
Comments9 pages, 0 figures
