量子多Mpemba效应的散度几何
Divergence Geometry of Quantum Multi-Mpemba Effects
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中文总结 AI 辅助
本文通过单参数$\chi^2$轮廓统一了量子Mpemba效应中不同Petz散度的诊断，并展示了其在 trapped-ion qutrit 模型中的应用，将诊断鲁棒性转化为控制问题。
中文摘要 AI 辅助
量子Mpemba效应是否发生可能取决于如何测量与平稳性的距离。我们表明，在归一化的算子凸Petz散度之间的一致性由一个单参数$\chi^2$轮廓决定。其符号固定了共同顺序，交替符号的余量保证重复交叉，有限维度产生多项式正性检验。同一轮廓解释了简单实慢模式的诊断无关晚期顺序，并将相干性隔离为诊断依赖的局部来源。在 trapped-ion qutrit 理想模型中，所报告的制备给出诊断选择性交叉，而邻近制备是两次家族范围反转的浮点候选。该框架将诊断鲁棒性转化为可处理的控制问题。
英文摘要
Two quantum states may relax toward the same steady state, yet the one that starts farther away can overtake the closer one. This is the quantum Mpemba effect. The same pair can reverse order more than once, but these crossings may depend on the divergence used to compare them. We ask which crossings persist for every normalized operator-convex Petz divergence. Because each such divergence is a positive average of one-parameter $χ^2$ kernels, the problem reduces to the sign of one profile across the full kernel range. Alternating sign margins guarantee repeated family-wide reversals, while finite dimension yields a polynomial positivity test. A simple real slow mode fixes the common late-time order; near stationarity, coherence between unequal-eigenvalue sectors makes the order divergence dependent. In a trapped-ion qutrit ideal model, the reported preparation shows divergence-selective crossings. A nearby preparation is a candidate for at least two family-wide reversals.
发表机构
- Universidade Federal Rural de Pernambuco（伯南布哥联邦农村大学）
机构由 AI 辅助整理，请以论文原文为准。
