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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Measurement of magnetic field gradients using Raman spectroscopy in a fountain

Arvind Srinivasan, Matthias Zimmermann, Maxim A. Efremov, Jon P. Davis, Frank A. Narducci

Published Feb 20, 2017• 1 citation
Publisher

Abstract

In many experiments involving cold atoms, it is crucial to know the strength of the magnetic field and/or the magnetic field gradient at the precise location of a measurement. While auxiliary sensors can provide some of this information, the sensors are usually not perfectly co-located with the atoms and so can only provide an approximation to the magnetic field strength. In this article, we describe a technique to measure the magnetic field, based on Raman spectroscopy, using the same atomic fountain source that will be used in future magnetically sensitive measurements.

DOI
10.1117/12.2261128

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In many experiments involving cold atoms, it is crucial to know the strength of the magnetic field and/or the magnetic field gradient at the precise location of a measurement. While auxiliary sensors can provide some of this information, the sensors are usually not perfectly co-located with the atoms and so can only provide an approximation to the magnetic field strength. In this article, we describe a technique to measure the magnetic field, based on Raman spectroscopy, using the same atomic fountain source that will be used in future magnetically sensitive measurements.
We present a method for magnetic field measurement by the weak magnetic-sensitive Zeeman splitting and a method for measuring the magnetic field vector by probing the line strength of stimulated Raman transitions. Compared with the traditional measurement, the contrast of the weak magnetic-sensitive resonance signal is improved significantly for gradient field. We also present a dynamical compensation method to smooth the spatial fluctuation of the magnetic field in the fountain clock. A homogeneous field with a 0.4 nT peak-to-peak value is realized compared to 5nT under the static magnetic field.
Precisely measuring the magnetic-field gradient within a vacuum chamber is important for many precision experiments and can be realized by atom interferometry using magnetically sensitive sublevels at different times to make a differential measurement, which had been demonstrated in our previous work. In this paper, we demonstrate a differential method to measure the magnetic-field gradient by means of two simultaneously operated atom interferometers using double atomic fountains. By virtue of this simultaneous differential measurement to reject common-mode noise, the resolution can be improved by one order of magnitude for about a 1000-s integration time.
We propose the utilization of atom interferometry techniques for the measurement of magnetic fields in noisy environments. We find that the interferometer we propose is insensitive (to first order) to the magnetic field but is sensitive to the field gradient. We propose a technique by which a superposition of magnetically sensitive states (a beam splitter) can be achieved. We experimentally demonstrate our techniques to null the magnetic field at the location of a cold atom cloud and how we can probe the population of magnetic sublevels.
Atoms in magnetically sensitive sublevels constitute a natural sensor for absolute magnetic field measurements, which are explored here to form an optical Ramsey interferometer for determining the magnetic field distribution. An optical Ramsey atom interferometer provides a convenient way to map a magnetic field in vacuum. In comparison with the often used Raman spectroscopy method, a Ramsey interferometer can not only improve the sensitivity, but also dramatically suppress the contribution of the ac Stark effect. Furthermore, in this work, the magnetically sensitive atoms are velocity-selected, which improves the spatial resolution for the magnetometer as well as the contrast of the Ramsey fringes. A short-term sensitivity of 1.4nT/Hz1/21.4\phantom{\rule{0.2em}{0ex}}{\mathrm{nT/Hz}}^{1/2}1.4nT/Hz1/2 for magnetic field measurement is finally achieved even with an interrogation time as short as $500\phantom{\rule{0.2em}{0ex}}\ensuremath{\mu}\mathrm{s}$. The presented approach for absolute magnetic field measurement is expected to find wide applications in atom-interferometry-based precision measurements.