Totally destructive interference for permutation-symmetric many-particle states
Totally destructive interference for permutation-symmetric many-particle states
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DOI：
10.1103/physreva.97.062116
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发表时间：
2018-06-15
影响因子：
2.9
通讯作者：
Keil, Robert
中科院分区：
文献类型：
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作者：
Dittel, Christoph;Dufour, Gabriel;Keil, Robert
众所周知，由于完全破坏性的多粒子干涉，几种不同类别的酉模变换表现出对一大组传输事件的严格抑制。在另一项工作中[C.Dittel等人，Phys.Rev.Lett。120,240404(2018年)]我们通过识别一类表现这种干扰的一般么正矩阵来统一这些情况。在这里，我们提供了一个详细的理论分析，大大扩展了这种推广的所有方面：我们证明了在我们的另一篇论文中提出的抑制律，建立了它们如何与被禁止的单粒子跃迁相互关联，展示了如何从我们的一般形式主义中检索到所有迄今已知的抑制律，并讨论了玻色子和费米子之间的显著区别。此外，除了输入的多粒子Fock态外，我们还考虑了任意的纯初始态，并导出了仅源于波函数的排列对称性的抑制律。最后，我们确定了当所涉及的粒子变得部分可区分时，完全破坏性干扰持续存在的条件。
Several distinct classes of unitary mode transformations have been known to exhibit the strict suppression of a large set of transmission events, as a consequence of totally destructive many-particle interference. In another work [C. Dittel et al., Phys.Rev.Lett. 120, 240404 (2018)] we unite these cases by identifying a general class of unitary matrices which exhibit such interferences.Here we provide a detailed theoretical analysis that substantially expands on all aspects of this generalization: We prove the suppression laws put forward in our other paper, establish how they interrelate with forbidden single-particle transitions, show how all suppression laws hitherto known can be retrieved from our general formalism, and discuss striking differences between bosons and fermions. Furthermore, beyond many-particle Fock states on input, we consider arbitrary pure initial states and derive suppression laws which stem from the wave function's permutation symmetry alone. Finally, we identify conditions for totally destructive interference to persist when the involved particles become partially distinguishable.