Recoil Free Scattering From a Free Gas
Scott N. Sanders (1), Florian Mintert (2, 3), Eric J. Heller (3), ((1) Massachusetts Institute of Technology, (2) Albert-Ludwigs-Universit\"at, Freiburg, (3) Harvard University)

TL;DR
This paper investigates recoil-free scattering in a free gas and its implications for decoherence in atom interferometry, revealing phase shifts without state changes and clarifying the measurement-like effects of scattering.
Contribution
It introduces a recoil-free scattering process that causes phase shifts without changing states, advancing understanding of decoherence in atom interferometers.
Findings
Recoil-free scattering leaves atom and gas states unchanged.
Such scattering induces phase shifts in matter waves.
Clarifies the role of scattering as a which-way measurement.
Abstract
We present a treatment of decoherence in an atom due to scattering from a gas of free particles. We show that there is a recoil free scattering process that leaves both the atom and the gas in an unchanged state, but allows for the acquisition of a phase shift that remains in the free space limit. This is essential to understanding decoherence in a separated arm atom interferometer, where a gas of atoms forms a refractive medium for a matter wave. Our work clarifies the extent to which scattering of a free particle acts as a which-way measurement.
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