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Physical Review A

Selective manipulation of degenerate interferometer loops by an atom-optics kicked rotor

Alexey Tonyushkin, Mara Goff Prentiss

Published Nov 17, 2008• 15 citations
Publisher

Abstract

We experimentally demonstrate that an atom-optics kicked rotor can remove the interference signal due to chosen interferometer paths in a four-pulse de Broglie wave atom interferometer. The interferometer output is dominated by two degenerate spatial loops: the nonreciprocal ``trapezoid'' loop and the reciprocal ``figure-8'' loop. By applying the kicked rotor sequence at a particular time we suppressed the contribution of the ``trapezoid'' loop to the interferometer signal while preserving the contribution due to the ``figure-8'' loop. When the degeneracy is present, the interferometer is sensitive to both rotation and linear acceleration. When the degeneracy is lifted the interferometer is insensitive to linear acceleration, but still sensitive to rotation. The suppression of nonreciprocal loops in an atom interferometer is valuable for rotation sensing.

DOI
10.1103/physreva.78.053625

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We experimentally demonstrate that an atom-optics kicked rotor can remove the interference signal due to chosen interferometer paths in a four-pulse de Broglie wave atom interferometer. The interferometer output is dominated by two degenerate spatial loops: the nonreciprocal trapezoid'' loop and the reciprocal figure-8'' loop. By applying the kicked rotor sequence at a particular time we suppressed the contribution of the trapezoid'' loop to the interferometer signal while preserving the contribution due to the figure-8'' loop. When the degeneracy is present, the interferometer is sensitive to both rotation and linear acceleration. When the degeneracy is lifted the interferometer is insensitive to linear acceleration, but still sensitive to rotation. The suppression of nonreciprocal loops in an atom interferometer is valuable for rotation sensing.
We experimentally demonstrate that an atom-optics kicked rotor can remove the interference signal due to chosen interferometer paths in a four-pulse de Broglie wave atom interferometer. The interferometer output is dominated by two degenerate spatial loops: the nonreciprocal “trapezoid” loop and the reciprocal “figure-8” loop. By applying the kicked rotor sequence at a particular time we suppressed the contribution of the “trapezoid” loop to the interferometer signal while preserving the contribution due to the “figure-8” loop. When the degeneracy is present, the interferometer is sensitive to both rotation and linear acceleration. When the degeneracy is lifted the interferometer is insensitive to linear acceleration, but still sensitive to rotation. The suppression of nonreciprocal loops in an atom interferometer is valuable for rotation sensing.
In the presence of Earth gravity and gravity-gradient forces, centrifugal and Coriolis forces caused by the Earth rotation, the phase of the time-domain atom interferometers is calculated with accuracy up to the terms proportional to the fourth degree of the time separation between pulses. We considered double-loop atom interferometers and found appropriate condition to eliminate their sensitivity to acceleration to get atomic gyroscope, or to eliminate the sensitivity to rotation to increase accuracy of the atomic gravimeter. Consequent use of these interferometers allows one to measure all components of the acceleration and rotation frequency projection on the plane perpendicular to gravity acceleration. Atom interference on the Raman transition driving by noncounterpropagating optical fields is proposed to exclude stimulated echo processes which can affect the accuracy of the atomic gyroscopes. Using noncounterpropagating optical fields allows one to get a new type of the Ramsey fringes arising in the unidirectional Raman pulses and therefore centered at the two-quantum line center. Density matrix in the Wigner representation is used to perform calculations. It is shown that in the time between pulses, in the noninertial frame, for atoms with fully quantized spatial degrees of freedom, this density matrix obeys classical Liouville equations.
Multiloop matter-wave interferometers are essential in quantum sensing to measure the derivatives of physical quantities in time or space. Because multiloop interferometers require multiple reflections, imperfections of the matter-wave mirrors create spurious paths that scramble the signal of interest. Here, we demonstrate a method of adjustable momentum transfer that prevents the recombination of the spurious paths in a double-loop atom interferometer aimed at measuring rotation rates. We experimentally study the recombination condition of the spurious matter waves, which is quantitatively supported by a model accounting for the coherence properties of the atomic source. We finally demonstrate the effectiveness of the method in building a cold-atom gyroscope with a single-shot acceleration sensitivity suppressed by a factor of at least 50. Our study will impact the design of multiloop atom interferometers that measure a single inertial quantity.
We investigate an atom interferometer in which large momentum differences between the arms are obtained by using quantum resonances in the atom-optics $\ensuremath{\delta}$-kicked rotor. The interferometer can potentially measure the Talbot time (from which h/mh/mh/m can be deduced) and the local gravitational field or can serve as a narrow velocity filter. We present an analytical analysis in the short pulse limit and a numerical investigation for finite pulse durations. The sensitivity of the interferometer is improved by a moderate violation of the short pulse limit. Remarkably simple relations predict the optimal pulse duration and the sensitivity of the interferometer.