Physical Review A

Phase shift induced from the dc Stark effect in an atom interferometer comprised of four copropagating laser beams

Atsuo Morinaga, Masato Nakamura, Takayuki Kurosu, N. Ito

Published Jul 1, 1996• 29 citations

Abstract

We observed the phase shift of the atomic wave function induced from the dc Stark effect using an atom interferometer comprised of four copropagating traveling laser beams. We calculated the interference signal for the interferometer in the case of a thermal atomic beam. By comparing the observed interference fringes with the calculated ones, the difference between the polarizabilities of the $^{3}P_{1}$ state and the $^{1}S_{0}$ state of calcium was obtained to be $\ensuremath{\alpha}(^{3}P_{1})\ensuremath{-}\ensuremath{\alpha}(^{1}S_{0})=(13.4\ifmmode\pm\else\textpm\fi{}2.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}$ ${\mathrm{cm}}^{3}$. This value was consistent with that deduced from the Stark frequency shift.

DOI: 10.1103/physreva.54.r21

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Physical Review A

Phase shift induced from the dc Stark effect in an atom interferometer comprised of four copropagating laser beams

Atsuo Morinaga, Masato Nakamura, Takayuki Kurosu, N. Ito

Published Jul 1, 1996• 29 citations

Publisher

Abstract

^{3}P_{1}

state and the

^{1}S_{0}

state of calcium was obtained to be

\ensuremath{\alpha}(^{3}P_{1})\ensuremath{-}\ensuremath{\alpha}(^{1}S_{0})=(13.4\ifmmode\pm\else\textpm\fi{}2.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}

{\mathrm{cm}}^{3}

. This value was consistent with that deduced from the Stark frequency shift.

DOI: 10.1103/physreva.54.r21

Related papers

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Four laser beams traveling in the same direction that split and reflect a thermal calcium atomic beam compose an atomic interferometer like the Mach-Zehnder optical interferometer. The interference performance of the atomic interferometer was examined by changing the phase of the induced dipole moment in the atomic wave due to the laser beams, or the phase of atomic ``wavepacket'' in an atomic trajectory due to the ac Stark effect. An interference signal with a visibility of more than 15% was obtained. This interferometer will be useful in the detection of weak signals that require a long integration time, since it is less sensitive to the fluctuation of the laser frequency compared with the optical Ramsey atomic interferometer.Four laser beams traveling in the same direction that split and reflect a thermal calcium atomic beam compose an atomic interferometer like the Mach-Zehnder optical interferometer. The interference performance of the atomic interferometer was examined by changing the phase of the induced dipole moment in the atomic wave due to the laser beams, or the phase of atomic ``wavepacket'' in an atomic trajectory due to the ac Stark effect. An interference signal with a visibility of more than 15% was obtained. This interferometer will be useful in the detection of weak signals that require a long integration time, since it is less sensitive to the fluctuation of the laser frequency compared with the optical Ramsey atomic interferometer.

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Physical Review AAug 25, 20114 citations

^{3}P_{1}

state and the

^{1}S_{0}

state of calcium was obtained to be

\ensuremath{\alpha}(^{3}P_{1})\ensuremath{-}\ensuremath{\alpha}(^{1}S_{0})=(13.4\ifmmode\pm\else\textpm\fi{}2.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}

{\mathrm{cm}}^{3}

. This value was consistent with that deduced from the Stark frequency shift.

An atomic polarizing white-color interferometer composed of the wave packets in the

m=+1

and $m=\ensuremath{-}1$ states of the excited

{}^{3}{P}_{1}

state of Ca, has been developed using a thermal atomic beam excited by a pair of two resonant lights at two separate zones under a homogeneous magnetic field. The interferometer generated the Ramsey fringes as a detuning of the rf frequency between two resonant lights from the Zeeman-frequency shift, while it generates white-color interference fringes as a detuning of laser frequency. The interferometer was used for the direct and short-time measurement of the Aharonov-Casher phase by removing the main part of dc Stark phase shift and without the influence of the frequency fluctuation of a laser. The measured dependence of the Aharonov-Casher phase on the electric field agreed with the predicted one within a relative uncertainty of 2.9%. The tensor polarizability in the

{}^{3}{P}_{1}

state was determined to be ${\ensuremath{\alpha}}_{2}=2.623\ifmmode\pm\else\textpm\fi{}0.015 \mathrm{k}\mathrm{H}\mathrm{z}/(\mathrm{k}\mathrm{V}/\mathrm{c}\mathrm{m}{)}^{2}$ from the frequency shift between the

m=+1

and $m=\ensuremath{-}1$ states.

{(}^{1}

{\mathit{S}}_{0}

${\mathrm{\ensuremath{-}}}^{3}$

{\mathit{P}}_{1}

) of Ca. It was clearly observed that the phase shift is in proportion to the field power and in inverse proportion to the detuning frequency of the laser. The proportionality coefficient obtained was in good agreement with the theoretical one.

{}^{1}

{S}_{0}

and

{}^{3}

{P}_{1}

states of a Ca atom was measured as a function of a laser power near the resonance of the ${}^{1}{S}_{0}{\ensuremath{-}}^{1}\phantom{\rule{-0.16em}{0ex}}{P}_{1}$ transition at a wavelength of 423 nm. The decay rate of the

{}^{1}

{P}_{1}

state was determined to be $\ensuremath{\gamma}=1.91(33)\ifmmode\times\else\texttimes\fi{}{10}^{8}$ s${}^{\ensuremath{-}1}$.