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arXiv · 2409.15079

Fourier analysis of many-body transition amplitudes and states

Gabriel Dufour·Andreas Buchleitner
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Abstract

We decompose the counting statistics of many-body interference experiments into contributions associated with distinct irreducible exchange symmetries. To do so, we perform a Fourier transform over the symmetric group $S_N$ on the collection of $N!$ many-body transition amplitudes connecting two states of a system of $N$ particles. We apply our formalism to the interference of partially distinguishable bosons and fermions and describe mechanisms responsible for completely destructive interference in many-body systems obeying specific exchange symmetries, including, but not limited to, bosons and fermions.

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Gabriel Dufour, Andreas Buchleitner. 2024-09-23. Fourier analysis of many-body transition amplitudes and states. https://doi.org/10.1088/1367-2630%2Fae98a9

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