Single quantum realization of a collision of two Bose--Einstein condensates

TL;DR

This paper introduces a quantum simulation method for a single collision event of two Bose--Einstein condensates, revealing that individual realizations can significantly differ from averaged results, highlighting quantum variability.

Contribution

The paper presents a novel quantum model capable of simulating single collision realizations of Bose--Einstein condensates, emphasizing the variability in scattering patterns.

Findings

Single realizations show distinct scattering halos from averaged results.

Parameter ranges identified where single-event structures differ markedly.

Model successfully reproduces data interpretable as individual collision outcomes.

Abstract

We propose a method for simulating a single realization of a collision of two Bose--Einstein condensates. Recently in Zi\'{n} {\it et al.} (Phys. Rev. Lett. {\bf 94}, 200401 (2005)) we introduced a quantum model of an incoherent elastic scattering in a collision of two counter-propagating atomic Gaussian wavepackets. Here show that this model is capable of generating the data that can be interpreted as results of a single collision event. We find a range of parameters, including relative velocity, population and the size of colliding condensates, where the structure of hallo of scattered atoms in a single realization strongly differs from that averaged over many realizations.