Quantum Walks of kicked Bose-Einstein condensates

TL;DR

This paper provides an analytical study of discrete-time quantum walks using kicked ultra-cold atoms, highlighting how internal atomic structures influence experimental outcomes and offering solutions for momentum distributions at resonance and near-resonance conditions.

Contribution

It introduces analytical solutions for the momentum distribution in quantum walks with kicked Bose-Einstein condensates, considering internal atomic levels and phase effects.

Findings

Internal atomic levels cause a relative light-shift phase affecting experiments.

Analytical momentum distribution solutions are derived for quantum resonance.

Results apply to near-resonant quasimomenta conditions.

Abstract

We analytically investigate the recently proposed and implemented discrete-time quantum walk based on kicked ultra-cold atoms. We show how the internal level structure of the kicked atoms leads to the emergence of a relative light-shift phase immediately relevant for the experimental realization. Analytical solutions are provided for the momentum distribution for both the case of quantum resonance and the near-resonant quasimomenta.