Momentum-space interferometry with trapped ultracold atoms

TL;DR

This paper proposes a method for creating and analyzing interference patterns in momentum space using trapped ultracold atoms, with potential applications in quantum interferometry.

Contribution

It introduces a novel technique for momentum-space interferometry by phase-imprinting in trapped ultracold atoms and provides analytical and numerical analysis of the resulting fringes.

Findings

Analytical expressions for fringe width and shift are derived.

Unsharpness and displacement of phase jumps affect interference patterns.

Many-body effects are considered for practical applicability.

Abstract

Quantum interferometers are generally set so that phase differences between paths in coordinate space combine constructive or destructively. Indeed, the interfering paths can also meet in momentum space leading to momentum-space fringes. We propose and analyze a method to produce interference in momentum space by phase-imprinting part of a trapped atomic cloud with a detuned laser. For one-particle wave functions analytical expressions are found for the fringe width and shift versus the phase imprinted. The effects of unsharpness or displacement of the phase jump are also studied, as well as many-body effects to determine the potential applicability of momentum-space interferometry.