Transfer of source correlations to counter-propagating bosons

Intense Laser Physics Theory Unit and Department of Physics, Illinois State University Normal, IL 61790-4560 USA

Received: 29 June 2009
Accepted: 12 November 2009

Abstract

We study a one-dimensional Yukawa model where the coupling of a spinless fermionic field to a neutral bosonic scalar field becomes exactly soluble in the recoil-free limit. We demonstrate how the correlation between two spatially separated quantum sources can be transferred onto the created bosons. The presence of these correlations manifests itself in the absence of any quantum interference in the spatial densities when two bosons pass through each other. The interference is recovered if the sources are uncorrelated. We compare the evolution of the bosons' spatial probability with the one obtained from classical sources that also leads to interference. The classical description is inappropriate even for situations in which the bosons interfere.