Echo Spectroscopy of Atomic Dynamics in a Gaussian Trap via Phase Imprints
Daniel Oblak, Juergen Appel, Patrick Windpassinger, Ulrich Busk Hoff,, Niels Kjaergaard, and Eugene S. Polzik

TL;DR
This paper demonstrates how phase imprinting via light shifts in a Gaussian trap reveals atomic motion through collapse and revival of Ramsey fringes, advancing quantum state control in trapped atom systems.
Contribution
It introduces a method to observe atomic dynamics by phase imprinting and echo spectroscopy, linking fringe revivals to atomic oscillations in a trap.
Findings
Revival of Ramsey fringes correlates with atomic oscillations.
Phase imprinting affects coherence in trapped atomic ensembles.
The technique enhances understanding of atom-light interactions in traps.
Abstract
We report on the collapse and revival of Ramsey fringe visibility when a spatially dependent phase is imprinted in the coherences of a trapped ensemble of two-level atoms. The phase is imprinted via the light shift from a Gaussian laser beam which couples the dynamics of internal and external degrees of freedom for the atoms in an echo spectroscopy sequence. The observed revivals are directly linked to the oscillatory motion of atoms in the trap. An understanding of the effect is important for quantum state engineering of trapped atoms.
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