The quantum beam splitter with many partially indistinguishable photons:
multiphotonic interference and asymptotic classical correspondence
- URL: http://arxiv.org/abs/2312.16774v1
- Date: Thu, 28 Dec 2023 01:48:26 GMT
- Title: The quantum beam splitter with many partially indistinguishable photons:
multiphotonic interference and asymptotic classical correspondence
- Authors: Miguel E. Villalobos, Alejandra Valencia, and Alonso Botero
- Abstract summary: We present the analysis of the quantum two-port interferometer in the $n rightarrow infty$ limit of $n$ partially indistinguishable photons.
Our main result is that the output distribution is dominated by the $O(sqrtn)$ channels around a certain $j*$ that depends on the degree of indistinguishability.
The form is essentially the doubly-humped semi-classical envelope of the distribution that would arise from $2 j*$ indistinguishable photons, and which reproduces the corresponding classical intensity distribution.
- Score: 44.99833362998488
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present the asymptotic analysis of the quantum two-port interferometer in
the $n \rightarrow \infty$ limit of $n$ partially indistinguishable photons.
Using the unitary-unitary duality between port and inner-mode degrees of
freedom, the probability distribution of output port counts can be decomposed
as a sum of contributions from independent channels, each associated to a
spin-$j$ representation of $SU(2)$ and, in this context, to $2 j$ effectively
indistinguishable photons in the channel. Our main result is that the
asymptotic output distribution is dominated by the $O(\sqrt{n})$ channels
around a certain $j^*$ that depends on the degree of indistinguishability. The
asymptotic form is essentially the doubly-humped semi-classical envelope of the
distribution that would arise from $2 j^*$ indistinguishable photons, and which
reproduces the corresponding classical intensity distribution.
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