paper

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

arXiv:1410.7687 · doi:10.1103/PhysRevA.91.022316

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.

arXiv comment15 pages, 7 figures, updated references and changed title, accepted by Phys. Rev. A

References in corpus (40)

Cited by in corpus (96)