Multiparticle correlations in mesoscopic scattering: boson sampling, birthday paradox, and Hong-Ou-Mandel profiles

TL;DR

This paper explores how quantum indistinguishability and interference affect correlations in many-body mesoscopic scattering, providing universal statistical descriptions and proposing Bose-Einstein condensate experiments for boson sampling and Hong-Ou-Mandel effects.

Contribution

It offers a semiclassical framework for universal correlation moments in mesoscopic scattering and links many-body quantum effects to the bosonic birthday paradox.

Findings

Universal form of transmission probability moments for chaotic cavities

Quantum-classical transition driven by wavepacket time delay

Proposal for observing macroscopic Hong-Ou-Mandel effect with Bose-Einstein condensates

Abstract

The interplay between single-particle interference and quantum indistinguishability leads to signature correlations in many-body scattering. We uncover these with a semiclassical calculation of the transmission probabilities through mesoscopic cavities for systems of non-interacting particles. For chaotic cavities we provide the universal form of the first two moments of the transmission probabilities over ensembles of random unitary matrices, including weak localization and dephasing effects. If the incoming many-body state consists of two macroscopically occupied wavepackets, their time delay drives a quantum-classical transition along a boundary determined by the bosonic birthday paradox. Mesoscopic chaotic scattering of Bose-Einstein condensates is then a realistic candidate to build a boson sampler and to observe the macroscopic Hong-Ou-Mandel effect.