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Annales de Physique

Measurement of the refraction index for atom waves

Marion Jacquey, M Büchner, G. Trénec, J. Vigué

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We have developed a Mach-Zehnder atom interferometer which uses elastic diffraction of lithium atom on laser standing waves for the coherent manipulation of the atom wave. The interference signal is of sufficient quality to achieve a phase sensitivity near 10 milliradians/. With this apparatus, we have recently measured the index of refraction of several gases for lithium waves. The interference signals give access to the real and imaginary parts of () and we have tested the linear dependence of these two quantities with gas density. The measured values of () are in good agreement with calculations and they exhibit glory oscillations, as predicted by theory.

DOI
10.1051/anphys:2008038

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We have developed a Mach-Zehnder atom interferometer which uses elastic diffraction of lithium atom on laser standing waves for the coherent manipulation of the atom wave. The interference signal is of sufficient quality to achieve a phase sensitivity near 10 milliradians/. With this apparatus, we have recently measured the index of refraction of several gases for lithium waves. The interference signals give access to the real and imaginary parts of () and we have tested the linear dependence of these two quantities with gas density. The measured values of () are in good agreement with calculations and they exhibit glory oscillations, as predicted by theory.
We report the first measurements of the index of refraction of gases for lithium waves. Using an atom interferometer, we have measured the real and imaginary parts of the index of refraction n for argon, krypton, and xenon as a function of the gas density for several velocities of the lithium beam. The linear dependence of (n-1) with the gas density is well verified. The total collision cross section deduced from the imaginary part of (n-1) is in very good agreement with traditional measurements of this quantity. Finally, the real and imaginary parts of (n-1) and their ratio rho exhibit glory oscillations, in good agreement with calculations.
We have built and operated an atom interferometer of the Mach-Zehnder type. The atomic wave is a supersonic beam of lithium seeded in argon and the mirrors and beam-splitters for the atomic wave are based on elastic Bragg diffraction on laser standing waves at 671 nm. We give here a detailed description of our experimental setup and of the procedures used to align its components. We then present experimental signals, exhibiting atomic interference effects with a very high visibility, up to 84.5 %. We describe a series of experiments testing the sensitivity of the fringe visibility to the main alignment defects and to the magnetic field gradient.
\nWe have built an atom interferometer of the Mach Zehnder type. The\natomic wave (lambdaitdB=54\\lambda_{\\it dB}=54lambdaitdB​=54 pm) is a supersonic beam of\nlithium seeded in argon. The realization of mirrors and beams\nsplitters for the atomic wave relies on elastic Bragg diffraction on\nlaser standing waves at lambda=671\\lambda= 671lambda=671 nm. We first present our\nexperimental setup and signals with atomic fringes which exhibit a\nvery high visibility, up to 84.5pm184.5 \\pm 1 \\%84.5pm1, and a very large phase\nsensitivity. This phase sensitivity is then used to perform an\nabsolute measurement of the lithium atom electric polarizability by\napplying an electric field on only one atomic beam in the\ninterferometer. Our result, $\\alpha= (24.33 \\pm 0.16) \\times\n10^{-30}$ m3^33, reduces by a factor three the uncertainty of the\nbest previous measurement.\n
\nWe have built an atom interferometer of the Mach-Zehnder type, operating with thermal lithium atoms [1]. Its design is largely inspired by previous works done by the groups of D. Pritchard [2], A. Zeilinger [3] and S.A. Lee [4]. In our apparatus, the atomic wave is diffracted in the Bragg regime by three laser sanding waves to achieve a Mach-Zehnder configuration. This paper briefly recalls the diffraction process and shows the experimental results obtained in our group. Our apparatus is able to achieve a high fringe contrast of 74 % with a large mean detected atom flux of 1.5times1041.5 \\times 10^{4}1.5times104s−1^{-1}−1. Finally, the paper ends with the measurement of the velocity distribution of our lithium beam using a light induced fluorescence technique.\n
This paper describes new theoretical results and calculations concerning the recently introduced index of refraction of a gas for atomic waves. More precisely, the motion of the atoms of the gas is taken into account and the equation describing the Doppler and Fizeau effects is introduced. The case where the atoms of the wave and the gas have spin 1/2 is also discussed and the rotatory power and circular dichroism of an optically pumped gas is calculated. Finally, the index of the rare gases for sodium waves is calculated. The results show how important it is to take into account glory scattering and Doppler averaging to make a meaningful comparison with experiments. The index appears to be very sensitive to the precise value of the quantum parameter B = 2μDeσ2 (in atomic unit). Using the available interaction potential curves, we obtained a reasonably good agreement between the measurements and the corresponding calculated values. However, some experimental results appear difficult to explain with the best available interaction potentials.