带路径记忆辅助比特的三缝干涉：亮-暗态表述
Three-slit interference with a which-path memory ancilla: A bright-dark state formulation
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中文总结 AI 辅助
该研究在亮-暗态框架下分析带路径记忆辅助比特的三缝干涉，明确二维暗子空间结构，证明亮-暗相干性的基矢不变性，揭示多路径下的额外相干贡献，并区分可恢复与不可约的相干损耗。
中文摘要 AI 辅助
本文在亮-暗态描述框架[Phys. Rev. Lett. 134, 133603 (2025)]内，研究路径记忆辅助比特对三缝干涉图样的影响。双缝情形下存在1种与探测器原子耦合的亮模光子模式和1种不与探测器原子耦合的暗模；三缝情形下，三维路径空间中存在1种与探测器耦合的亮模，以及一个二维暗模子空间。我们首先从暗子空间的概率泄漏角度讨论经典三缝干涉图样。随后我们研究暗子空间的冯·诺依曼熵$S_D$，以及通过求迹消去记忆后得到的约化光子态的相干性度量：暗区相干性$C_D$和亮-暗相干性$C_{BD}$。这些物理量揭示了二维暗子空间的内部量子结构。我们证明，$C_D$本身并非与基矢无关的物理可观测量，而$C_{BD}$具有基矢不变性。我们证实，对于双路径情形，$C_{BD}$完全由布居数和单对相干性决定；而对于$M\geq3$的多路径情形，$C_{BD}$会获得由成对路径交叠间的不对称性产生的真正多路径贡献。最后，我们区分了可通过对记忆进行合适测量恢复的路径相干性损失部分，与不受控环境导致的不可约相干性亏损。
英文摘要
In this paper, we study the effect of a which-path memory ancilla on the three-slit interference pattern within the framework of the bright--dark state description [Phys. Rev. Lett. 134, 133603 (2025)]. Whereas two slits give one bright mode, a photonic mode that couples to the detector atoms, and one dark mode, which does not couple to the detector atoms, three slits lead to one detector-coupled bright mode and a two-dimensional dark-mode subspace in the three-dimensional path space. We first discuss the classical three-slit interference pattern in terms of probability leakage into the dark subspace. We then study the von Neumann entropy $S_D$ of the dark subspace and the coherence measures of the reduced photonic state obtained by tracing out the memory: dark-sector coherence $C_D$ and bright--dark coherence $C_{BD}$. These quantities bring out the internal quantum structure of the two-dimensional dark subspace. We show that, whereas $C_D$ is not by itself a basis-independent physical observable, $C_{BD}$ is basis-invariant. We establish that, for two paths, $C_{BD}$ is fixed entirely by the populations and the single pairwise coherence, whereas for multiple paths, $M\geq 3$, it acquires a genuinely multipath contribution generated by asymmetry among the pairwise which-path overlaps. Finally, we distinguish the part of the path-coherence loss that is recoverable through a suitable measurement of the memory from the irreducible coherence deficit imposed by an uncontrolled environment.
发表机构
- Jaypee Institute of Information Technology（贾伊皮信息技术学院）
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