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Conference on Lasers and Electro-Optics

Atom interferometric method for eliminating Doppler effects in precision measurements

G. Wilpers, Chris W. Oates, Leo W. Hollberg

Published May 16, 2004• 0 citations
OpenAlex

Abstract

Abstract: We present a method to reduce the residual Doppler effect by almost two orders of magnitude in our optical frequency standard. The approach combines atom interferometry and launching of microkelvin neutral atoms.

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Atom interferometric method for eliminating Doppler effects in precision measurements

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Spontaneous Raman scattering limits shortcut-assisted atom optics, but its microscopic origin is obscured once the lossy excited state is adiabatically eliminated. We organize the problem around a single quantity: in the instantaneous dark-bright basis the lower-manifold optical source is carried entirely by the bright-state amplitude, S=ΩbS=ΩbS=Ωb, so that primary spontaneous scattering reduces to the compact functional. This recovers the known dissipative-STIRAP loss in transparent form and makes the action of a shortcut explicit: ideal counterdiabatic STIRSAP cancels the bright-state \emph{source}, not the optical decay coefficient. We show this cancellation is exact in the full three-level model at the counterdiabatic point, for arbitrary one-photon detuning, Rabi frequency, and pulse duration. The residual source splits into orthogonal quadratures -- shortcut mismatch (real) and two-photon Doppler detuning (imaginary) -- which invites a velocity-selective protocol that nulls the Doppler quadrature for a chosen momentum class with a second, phase-shifted lower-state field. Our central result is that this source nulling is never superior to simply chirping the two-photon detuning: the two coincide only when the selected class δcδ_cδc​ is small compared with the bright-state gap, and the nulling degrades and then fails as δc→∣μ∣δ_c\to|μ|δc​→∣μ∣ -- precisely the regime of launched or warm clouds and high-order large-momentum-transfer (LMT) optics that motivates velocity selection. The controlling quantity is the magnitude of the residual Hamiltonian perturbation a scheme leaves behind, not the residual source it cancels. As a complement to existing multi-pulse decay budgets, we cast a single-pulse mode-error budget for LMT interferometry entirely in terms of the bright-state source, and delineate when shortcut-assisted Raman control reduces the total scattering cost.
We discuss the possibility to enhance the sensitivity of optical interferometric devices by increasing their open area using an external field gradient that acts differently on the two arms of the interferometers. The use of a combined electric and magnetic field cancels nonlinear terms that dephase the interferometer. This is possible using well-defined (typically with $n\ensuremath{\sim}20$ Rydberg) states, a magnetic field of a few Tesla, and an electric field gradient of $\ensuremath{\sim}10\phantom{\rule{0.28em}{0ex}}\mathrm{V}/{\mathrm{cm}}^{2}$. However, this allows for interaction times only on the order of tens of microseconds, leading to a reachable accuracy of only 1 or 2 orders of magnitude higher than standard light-pulse atom interferometers. Furthermore, the control of fields and states and three-dimensional (3D) trajectories puts severe limits to the reachable accuracy. This idea is therefore not suitable for precision measurement but might eventually be used for gravity or neutrality in antimatter studies.