Momentum-space interferometry with trapped ultracold atoms

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.

8 pages

References in corpus (4)

• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Atom Fock state preparation by trap reduction
• Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas