Fourier analysis of many-body transition amplitudes and states
Quantum Physics
2026-03-11 v2
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 on the collection of many-body transition amplitudes connecting two states of a system of 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.
Cite
@article{arxiv.2409.15079,
title = {Fourier analysis of many-body transition amplitudes and states},
author = {Gabriel Dufour and Andreas Buchleitner},
journal= {arXiv preprint arXiv:2409.15079},
year = {2026}
}