Coherent coupling of momentum states: selectivity and phase control

TL;DR

This paper explores pulse shaping in atomic Bragg diffraction to achieve momentum selectivity and phase control, advancing the potential for testing Bell inequalities with massive particles entangled in momentum.

Contribution

It introduces pulse shaping techniques that improve momentum selectivity and phase control, enabling simultaneous addressing of velocity classes with phase stability.

Findings

Pulse shaping reduces sidelobes in momentum space.

Simultaneous addressing of velocity classes achieved.

Phase control is insensitive to laser fluctuations.

Abstract

We demonstrate the effect of pulse shaping in momentum selective atomic Bragg diffraction. We compare temporal square pulses, which produce sidelobes in momentum space, with other shapes which can produce more nearly square momentum distributions. We produce pulses that simultaneously address two sets of velocity classes and demonstrate that we can control the differential phase imprinted on them in a way that is insensitive to laser phase fluctuations. Our work marks a significant step forward in testing Bell inequalities using massive particles entangled in momentum.