Sensing Atomic Motion from the Zero Point to Room Temperature with Ultrafast Atom Interferometry
K. G. Johnson, B. Neyenhuis, J. Mizrahi, J. D. Wong-Campos, C. Monroe

TL;DR
This paper introduces an ultrafast atom interferometry technique to sense and characterize atomic motion across a wide energy range, from near-zero to highly excited thermal states, with applications in thermometry and quantum gate characterization.
Contribution
The authors develop a novel ultrafast atom interferometry method capable of measuring atomic motion from the ground state to outside the Lamb-Dicke regime, extending the energy range of quantum state characterization.
Findings
Successfully measured thermal states up to $ar{n} ext{~}10^4$
Characterized a nearly-pure quantum state with $n=1$ phonon
Demonstrated potential for high-energy state extension and ultrafast entangling gate characterization
Abstract
We sense the motion of a trapped atomic ion using a sequence of state-dependent ultrafast momentum kicks. We use this atom interferometer to characterize a nearly-pure quantum state with phonon and accurately measure thermal states ranging from near the zero-point energy to , with the possibility of extending at least 100 times higher in energy. The complete energy range of this method spans from the ground state to far outside of the Lamb-Dicke regime, where atomic motion is greater than the optical wavelength. Apart from thermometry, these interferometric techniques are useful for characterizing ultrafast entangling gates between multiple trapped ions.
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