From Many-Particle Interference to Correlation Spectroscopy
Mattia Walschaers, Jack Kuipers, and Andreas Buchleitner

TL;DR
This paper demonstrates how analyzing two-point correlations in many-particle quantum states after passing through a multi-mode scatterer can reveal particle indistinguishability and temporal structure, extending Hong-Ou-Mandel interference concepts.
Contribution
It introduces a method to use many-particle interference patterns as a sensitive probe for particle indistinguishability and temporal properties, generalizing Hong-Ou-Mandel interference.
Findings
Correlation features indicate particle indistinguishability
Statistical analysis reveals temporal structure of input states
Method extends diagnostic tools for many-particle quantum systems
Abstract
We show how robust statistical features of a many-particle quantum state's two-point correlations after transmission through a multi-mode random scatterer can be used as a sensitive probe of the injected particles' mutual indistinguishability. This generalises Hong-Ou-Mandel interference as a diagnostic tool for many-particle transmission signals across multi-mode random scatterers. Furthermore, we show how, from such statistical features of the many-particle interference pattern, information can be deduced on the temporal structure of the many-particle input state, by inspection of the many-particle interference with an additional probe particle of tuneable distinguishability.
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