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arXiv · 1410.7687

Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

Malte C. Tichy
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Abstract

The collective interference of partially distinguishable bosons in multi-mode networks is studied via double-sided Feynman diagrams. The probability for many-body scattering events becomes a multi-dimensional tensor-permanent, which interpolates between distinguishable particles and identical bosons, and easily extends to mixed initial states. The permanent of the distinguishability matrix, composed of all mutual scalar products of the single-particle mode-functions, emerges as a natural measure for the degree of interference: It yields a bound on the difference between event probabilities for partially distinguishable bosons and the idealized species, and exactly quantifies the degree of bosonic bunching.

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Malte C. Tichy. 2015-02-18. Sampling of partially distinguishable bosons and the relation to the multidimensional permanent. https://doi.org/10.1103/physreva.91.022316

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