arXiv:1011.3311 · Physical Review A

Collisionally induced atomic clock shifts and correlations

Y. B. Band, I. Osherov

Published Jul 20, 2011• 6 citations

Abstract

We develop a formalism to incorporate exchange symmetry considerations into the calculation of collisional frequency shifts for atomic clocks using a density-matrix formalism. The formalism is developed for both fermionic and bosonic atomic clocks. Numerical results for a finite-temperature ${}^{87}$Sr ${}^{1}{S}_{0}$ ($F=9/2$) atomic clock in a magic wavelength optical lattice are presented.

DOI: 10.1103/physreva.84.013822

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arXiv:1011.3311 · Physical Review A

Collisionally induced atomic clock shifts and correlations

Y. B. Band, I. Osherov

Published Jul 20, 2011• 6 citations

arXiv HTML PDF

Abstract

{}^{87}

{}^{1}{S}_{0}

(

F=9/2

) atomic clock in a magic wavelength optical lattice are presented.

DOI: 10.1103/physreva.84.013822

Related papers

Optical clock with lattice-confined Sr atoms

Jun Ye

Frontiers in OpticsJan 1, 20100 citations

Three-dimensional optical lattice clock with bosonic Sr 88 atoms

Tomoya Akatsuka, Masao Takamoto, Hidetoshi Katori

We present detailed analyses of our recent experiment on the three-dimensional (3D) optical lattice clock with bosonic $^{88}\mathrm{Sr}$ atoms in which the collisional frequency shift was suppressed by applying a single-occupancy lattice. Frequency shifts in magnetically induced spectroscopy on the ${}^{1}{S}_{0}--{}^{3}{P}_{0}$ clock transition ($\ensuremath{\lambda}=698$ nm) of $^{88}\mathrm{Sr}$ were experimentally investigated by referencing a one-dimensional (1D) lattice clock based on spin-polarized $^{87}\mathrm{Sr}$ atoms. We discuss that the clock stability is limited by the current laser stability as well as the experimental sequence of the clock operation, which may be improved to ${\ensuremath{\sigma}}_{y}(\ensuremath{\tau})=2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}16}/\sqrt{\ensuremath{\tau}}$ by optimizing the cycle time of the clock operation.We present detailed analyses of our recent experiment on the three-dimensional (3D) optical lattice clock with bosonic $^{88}\mathrm{Sr}$ atoms in which the collisional frequency shift was suppressed by applying a single-occupancy lattice. Frequency shifts in magnetically induced spectroscopy on the ${}^{1}{S}_{0}--{}^{3}{P}_{0}$ clock transition ($\ensuremath{\lambda}=698$ nm) of $^{88}\mathrm{Sr}$ were experimentally investigated by referencing a one-dimensional (1D) lattice clock based on spin-polarized $^{87}\mathrm{Sr}$ atoms. We discuss that the clock stability is limited by the current laser stability as well as the experimental sequence of the clock operation, which may be improved to ${\ensuremath{\sigma}}_{y}(\ensuremath{\tau})=2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}16}/\sqrt{\ensuremath{\tau}}$ by optimizing the cycle time of the clock operation.

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W. Maineult, Christian Deutsch, Kurt Gibble +2 more

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arXiv:1204.1150Physical Review LettersJul 13, 201231 citations

{}^{87}

{}^{1}{S}_{0}

(

F=9/2

) atomic clock in a magic wavelength optical lattice are presented.

We present detailed analyses of our recent experiment on the three-dimensional (3D) optical lattice clock with bosonic

^{88}\mathrm{Sr}

atoms in which the collisional frequency shift was suppressed by applying a single-occupancy lattice. Frequency shifts in magnetically induced spectroscopy on the

{}^{1}{S}_{0}--{}^{3}{P}_{0}

clock transition ($\ensuremath{\lambda}=698$ nm) of

^{88}\mathrm{Sr}

were experimentally investigated by referencing a one-dimensional (1D) lattice clock based on spin-polarized

^{87}\mathrm{Sr}

atoms. We discuss that the clock stability is limited by the current laser stability as well as the experimental sequence of the clock operation, which may be improved to ${\ensuremath{\sigma}}_{y}(\ensuremath{\tau})=2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}16}/\sqrt{\ensuremath{\tau}}$ by optimizing the cycle time of the clock operation.

We study the influence of ultracold collisions induced by the inhomogeneous excitation on the clock-transition frequency in one- and two-dimensional shallow blue-detuned (BD)

{}^{87}

Sr optical lattice clocks with a magic wavelength of ${\ensuremath{\lambda}}_{b}=389.889$ nm. The minimal lattice potential required to tightly confine atoms in each single lattice site is much larger than that required for a red-detuned (RD) lattice operating at ${\ensuremath{\lambda}}_{r}=813.4$ nm because of the relatively smaller magic wavelength. For a deep optical lattice, the two-body interactions of atoms in a single lattice site mainly contribute to the clock-transition frequency shift, while the intersite collisions primarily affect the collisional shift in a shallow optical lattice. For an effective misalignment angle $\ensuremath{\Delta}\ensuremath{\theta}\ensuremath{\sim}10$ mrad of the probe beam with respect to the lattice axis, the fractional collisional shifts in both one- and two-dimensional BD lattices are at the ${10}^{\ensuremath{-}16}$ level.

^1S_0(F=9/2) - {}^3P_0(F=9/2)

clock transition of the

^{87}

Sr optical lattice clock is determined as 429,228,004,229,875(4) Hz, where the uncertainty is mainly limited by that of the frequency link. The result indicates that the Sr lattice clock will play an important role in the scope of the redefinition of the ``second'' by optical frequency standards.