Non-classical statistics at multiport beam splitters.

Klaus Mattle, Harald Weinfurter, Anton Zeilinger

Perez-Leija, Moya-Cessa, Szameit +1 more

García Moscoso, Tania Andrea

Päivi Törmä, Igor Jex

We show that for experimental arrangements with few nonvacuum inputs the fully symmetric multiport can be replaced by a simpler partially symmetric multiport. This device is equivalent to a beam splitter arrangement where the number of necessary beam splitters increases linearly with increasing number of inputs, that is it is considerably simpler to realize owning to the smaller number of components needed.

Malte C. Tichy, Markus Tiersch, Fernando de Melo +2 more

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically from the classical case in which the realization probabilities are given by combinatorics. A law for the suppression of output configurations is derived and shown to apply for the majority of all possible arrangements. Such multiparticle interference effects dominate at the level of single transition amplitudes, while a generic bosonic signature can be observed when the average number of occupied ports or the typical number of particles per port is considered. The results allow to classify in a common approach several recent experiments and theoretical studies and disclose many accessible quantum statistical effects involving many particles.

Wolfgang Belzig, Johannes Börlin, Christoph Bruder