Interference in a two-mode Bose system with $N$ particles is typical

TL;DR

This paper demonstrates that interference fringes are a typical feature in two-mode Bose systems with many particles, arising naturally from most quantum states without assuming decoherence.

Contribution

It shows that interference in divided Bose-Einstein condensates is a generic property of most quantum states, not dependent on specific initial conditions or decoherence.

Findings

Most wave functions exhibit interference fringes

Interference is typical across a broad ensemble of states

No decoherence assumptions are needed for interference to occur

Abstract

When a Bose-Einstein condensate is divided into two parts, that are subsequently released and overlap, interference fringes are observed. We show here that this interference is typical, in the sense that most wave functions of the condensate, randomly sampled out of a suitable ensemble, display interference. We make no hypothesis of decoherence between the two parts of the condensates.