Enhanced bunching of nearly indistinguishable bosons
- URL: http://arxiv.org/abs/2308.12226v1
- Date: Wed, 23 Aug 2023 16:08:16 GMT
- Title: Enhanced bunching of nearly indistinguishable bosons
- Authors: L\'eo Pioge, Benoit Seron, Leonardo Novo and Nicolas J. Cerf
- Abstract summary: Grouping effects may be enhanced in some interferometers by preparing specific states of partially distinguishable photons.
We show that there is an optical set-up involving 8photons in 10modes for which the probability that all photons bunch into two output modes can be enhanced.
We also find out that the perturbation that decreases the bunching probability the most is not the one that takes the perfectly indistinguishable state towards a fully distinguishable state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In multiphon interference processes, the commonly assumed direct link between
boson bunching and particle indistinguishability has recently been challenged
in Seron $\textit{et al.}$ [Nat. Photon. 17, 702 (2023)]. Exploiting the
connection between optical interferometry and matrix permanents, it appeared
that bunching effects may surprisingly be enhanced in some interferometers by
preparing specific states of partially distinguishable photons. Interestingly,
all the states giving rise to such an anomalous bunching were found to be
$\textit{far from}$ the state of perfectly indistinguishable particles, raising
the question of whether this intriguing phenomenon might even exist for
$\textit{nearly indistinguishable}$ particles. Here, we answer positively this
physically motivated question by exploiting some mathematical conjecture on
matrix permanents, whose physical interpretation had not yet been unveiled.
Using a recently found counterexample to this conjecture, we demonstrate that
there is an optical set-up involving 8~photons in 10~modes for which the
probability that all photons bunch into two output modes can be enhanced by
applying a suitable perturbation to the polarization states starting from
photons with the same polarization. We also find out that the perturbation that
decreases the bunching probability the most is not the one that takes the
perfectly indistinguishable state towards a fully distinguishable state, as
could naively be expected.
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