Speckles from systems of interacting particles
Interacting particles, Speckles, Entanglement
The dynamics of two interacting quantum particles on a weakly disordered chain is investigated.
Spatial quantum interference between them is characterized through the statistics of two-particle
transition amplitudes, related to Hanbury Brown-Twiss correlations in optics. The fluctuation
profile of the signal can discern whether the interacting parties are behaving like identical bo-
sons, fermions, or distinguishable particles. An analog fully developed speckle regime displaying
Rayleigh statistics is achieved for interacting bosons. Deviations toward long-tailed distributi-
ons echo quantum correlations akin to noninteracting identical particles. In the limit of strong
interaction, two-particle bound states obey compound Rician distributions.