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Open Quantum Systems Decoherence

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

arXiv
Authors: Malte C. Tichy

Year

2014

Paper ID

46749

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

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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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • The collective interference of partially distinguishable bosons in multi-mode networks is studied via double-sided Feynman diagrams.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1410.7687 [2] arXiv https://arxiv.org/abs/1410.7687 [3] Publisher https://arxiv.org/abs/1410.7687

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