Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic Molecular and Optical Physics

Sensitivity of vibrational spectroscopy of optically trapped SrLi and CaLi molecules to variations inmp/me

Masatoshi Kajita, Geetha Gopakumar, Minori Abe, Masahiko Hada

Published Dec 21, 2012• 34 citations
Publisher

Abstract

Precision measurements of the X 2 Σ( v , N ) = (0, 0) → ( v u , 0) ( v u = 1, 2, 3, 4) transition frequencies from optically trapped 88 Sr 6 Li and 40 Ca 6 Li molecules are proposed, with the intention to test the variation in the proton-to-electron mass ratio m p / m e . The Stark shifts induced by the trap and Raman lasers are eliminated by choosing appropriate frequencies (magic frequencies). These transitions are measurable with an uncertainty lower than 10 −16 and can be used to test the variation in m p / m e , as already shown with 174 Yb 6 Li molecular transitions.

DOI
10.1088/0953-4075/46/2/025001

Related papers

Accuracy estimations of overtone vibrational transition frequencies of optically trapped 174 Yb 6 Li molecules

Masatoshi Kajita, Geetha Gopakumar, Minori Abe +1 more

The attainable accuracy of the $X\phantom{\rule{0.16em}{0ex}}{}^{2}\phantom{\rule{-0.16em}{0ex}}\ensuremath{\Sigma}(v,N)=(0,0)\ensuremath{\rightarrow}({v}_{u},0)$ transition frequencies of optically trapped ${}^{174}$Yb${}^{6}$Li molecules are analyzed $({v}_{u}=1,2,3,4)$ to test the variation in the proton-to-electron mass ratio. We eliminate the Stark shifts induced by the trap and Raman lasers by choosing appropriate frequencies (magic frequencies). For ${v}_{u}=1$ and 2, we obtain more than one experimentally useful magic frequency, thereby leading to more choice in the trap laser. For ${v}_{u}=3$ and 4, the choice in the trap laser is limited. The systematic frequency uncertainty is given by the trap laser frequency detuning from the magic frequency and the fluctuation of the power ratio of the two Raman lasers and can be lower than 10${}^{\ensuremath{-}16}$ for all these transition frequencies. To obtain lower statistical uncertainty, measurement with ${v}_{u}=4$ is more advantageous than that with ${v}_{u}=1\ensuremath{-}3$.

Physical Review A•Jun 28, 2012•23 citations

Elimination of the Stark shift from the vibrational transition frequency of optically trapped 174 Yb 6 Li molecules

Masatoshi Kajita, Geetha Gopakumar, Minori Abe +1 more

Transition frequencies of cold molecules must be accurately evaluated to test the variance in the proton-to-electron mass ratio. Measuring the $X{\phantom{\rule{0.16em}{0ex}}}^{2}\ensuremath{\Sigma}(v,N)=(0,0)\ensuremath{\rightarrow}(1,0)$ transition frequency of optically trapped ${}^{174}$Yb${}^{6}$Li molecules is a promising method for achieving this goal. The Stark shifts induced by trap and probe (for the Raman transition) lasers are eliminated by choosing appropriate frequencies (magic frequencies) during the construction of the optical lattice. In the far-off resonance region, the Stark shift is found to be less than 10${}^{\ensuremath{-}16}$ even when the laser frequencies are detuned from the magic frequencies by $\ensuremath{\sim}$1 MHz.

Physical Review A•Aug 10, 2011•47 citations

Precise Measurement of Transition Frequencies of Optically Trapped 40Ca19F Molecules

Masatoshi Kajita

The laser cooling and trapping of molecules have recently been achieved. In this paper, the possibility of precisely measuring the vibrational transition frequencies of optically trapped 40Ca19F molecules is discussed. The quadratic Stark shift induced by the trap laser is eliminated using the trap laser frequencies where the Stark energy shifts at upper and lower states are equal (magic frequencies). At one value of the magic frequency, molecules are trapped at the positions where the power density is minimum, therefore, the measurement is not sensitive to the detuning of the trap laser frequency from the magic frequency. Measurement with an uncertainty of 10−17 appears to be possible using the \((v,N,J,F,M) = (0,0,1/2,1, \pm 1) \to (1,0,1/2,1, \pm 1)\) transition frequency.

Journal of the Physical Society of Japan•Sep 18, 2018•9 citations

Suppression of AC Stark shift in Raman spectroscopy of optically trapped molecules

Masatoshi Kajita

The variation of proton–electron mass ratio can be tested through precise measurements of the transition frequency of ultracold diatomic molecules confined in an optical trap. We propose to measure resonant frequency via the Raman transition induced by an intense trapping laser beam and a weak probe laser beam. By tuning the trap laser to a specific frequency at which the AC Stark shift is cancelled, the relative frequency shift on the Raman transition can be reduced to below 10 −16 .

Japanese Journal of Applied Physics•Nov 10, 2014•4 citations

Prospects for application of ultracold Sr2 molecules in precision measurements

Svetlana Kotochigova, Tanya Zelevinsky, Jun Ye

Precision measurements with ultracold molecules require development of robust and sensitive techniques to produce and interrogate the molecules. With this goal, we theoretically analyze factors that affect frequency measurements between rovibrational levels of the ${\mathrm{Sr}}_{2}$ molecule in the electronic ground state. This measurement can be used to constrain the possible time variation of the proton-electron mass ratio. ${\mathrm{Sr}}_{2}$ is expected to be a strong candidate for achieving high precision due to the spinless nature and ease of cooling and perturbation-free trapping of Sr [T. Zelevinsky et al., Phys. Rev. Lett. 100, 043201 (2008)]. The analysis includes calculations of two-photon transition dipole moments between deeply and weakly bound vibrational levels, lifetimes of intermediate excited states, and Stark shifts of the vibrational levels by the optical lattice field, including possibilities of Stark-cancellation trapping.

arXiv:0811.3971•Physical Review A•Jan 8, 2009•48 citations

Measurement of Magic Wavelengths for the Ca+40 Clock Transition

Peiliang Liu, Yao Huang, Bian Wu +6 more

We demonstrate experimentally the existence of magic wavelengths and determine the ratio of oscillator strengths for a single trapped ion. For the first time, two magic wavelengths near 396 nm for the ^{40}Ca^{+} clock transition are measured simultaneously with high precision. By tuning the applied laser to an intermediate wavelength between transitions 4s_{1/2}→4p_{1/2} and 4s_{1/2}→4p_{3/2}, the sensitivity of the clock transition Stark shift to the oscillator strengths is greatly enhanced. Furthermore, with the measured magic wavelengths, we determine the ratio of the oscillator strengths with a deviation of less than 0.5%. Our experimental method may be applied to measure magic wavelengths for other ion clock transitions. Promisingly, the measurement of these magic wavelengths paves the way to building all-optical trapped ion clocks.

arXiv:1409.2576•Physical Review Letters•Jun 2, 2015•48 citations
Precision measurements of the X 2 Σ( v , N ) = (0, 0) → ( v u , 0) ( v u = 1, 2, 3, 4) transition frequencies from optically trapped 88 Sr 6 Li and 40 Ca 6 Li molecules are proposed, with the intention to test the variation in the proton-to-electron mass ratio m p / m e . The Stark shifts induced by the trap and Raman lasers are eliminated by choosing appropriate frequencies (magic frequencies). These transitions are measurable with an uncertainty lower than 10 −16 and can be used to test the variation in m p / m e , as already shown with 174 Yb 6 Li molecular transitions.
The attainable accuracy of the $X\phantom{\rule{0.16em}{0ex}}{}^{2}\phantom{\rule{-0.16em}{0ex}}\ensuremath{\Sigma}(v,N)=(0,0)\ensuremath{\rightarrow}({v}_{u},0)$ transition frequencies of optically trapped 174{}^{174}174Yb6{}^{6}6Li molecules are analyzed (vu=1,2,3,4)({v}_{u}=1,2,3,4)(vu​=1,2,3,4) to test the variation in the proton-to-electron mass ratio. We eliminate the Stark shifts induced by the trap and Raman lasers by choosing appropriate frequencies (magic frequencies). For vu=1{v}_{u}=1vu​=1 and 2, we obtain more than one experimentally useful magic frequency, thereby leading to more choice in the trap laser. For vu=3{v}_{u}=3vu​=3 and 4, the choice in the trap laser is limited. The systematic frequency uncertainty is given by the trap laser frequency detuning from the magic frequency and the fluctuation of the power ratio of the two Raman lasers and can be lower than 10${}^{\ensuremath{-}16}$ for all these transition frequencies. To obtain lower statistical uncertainty, measurement with vu=4{v}_{u}=4vu​=4 is more advantageous than that with ${v}_{u}=1\ensuremath{-}3$.
Transition frequencies of cold molecules must be accurately evaluated to test the variance in the proton-to-electron mass ratio. Measuring the $X{\phantom{\rule{0.16em}{0ex}}}^{2}\ensuremath{\Sigma}(v,N)=(0,0)\ensuremath{\rightarrow}(1,0)$ transition frequency of optically trapped 174{}^{174}174Yb6{}^{6}6Li molecules is a promising method for achieving this goal. The Stark shifts induced by trap and probe (for the Raman transition) lasers are eliminated by choosing appropriate frequencies (magic frequencies) during the construction of the optical lattice. In the far-off resonance region, the Stark shift is found to be less than 10${}^{\ensuremath{-}16}$ even when the laser frequencies are detuned from the magic frequencies by $\ensuremath{\sim}$1 MHz.
The laser cooling and trapping of molecules have recently been achieved. In this paper, the possibility of precisely measuring the vibrational transition frequencies of optically trapped 40Ca19F molecules is discussed. The quadratic Stark shift induced by the trap laser is eliminated using the trap laser frequencies where the Stark energy shifts at upper and lower states are equal (magic frequencies). At one value of the magic frequency, molecules are trapped at the positions where the power density is minimum, therefore, the measurement is not sensitive to the detuning of the trap laser frequency from the magic frequency. Measurement with an uncertainty of 10−17 appears to be possible using the (v,N,J,F,M)=(0,0,1/2,1,±1)→(1,0,1/2,1,±1)(v,N,J,F,M) = (0,0,1/2,1, \pm 1) \to (1,0,1/2,1, \pm 1)(v,N,J,F,M)=(0,0,1/2,1,±1)→(1,0,1/2,1,±1) transition frequency.
Precision measurements with ultracold molecules require development of robust and sensitive techniques to produce and interrogate the molecules. With this goal, we theoretically analyze factors that affect frequency measurements between rovibrational levels of the Sr2{\mathrm{Sr}}_{2}Sr2​ molecule in the electronic ground state. This measurement can be used to constrain the possible time variation of the proton-electron mass ratio. Sr2{\mathrm{Sr}}_{2}Sr2​ is expected to be a strong candidate for achieving high precision due to the spinless nature and ease of cooling and perturbation-free trapping of Sr [T. Zelevinsky et al., Phys. Rev. Lett. 100, 043201 (2008)]. The analysis includes calculations of two-photon transition dipole moments between deeply and weakly bound vibrational levels, lifetimes of intermediate excited states, and Stark shifts of the vibrational levels by the optical lattice field, including possibilities of Stark-cancellation trapping.
We demonstrate experimentally the existence of magic wavelengths and determine the ratio of oscillator strengths for a single trapped ion. For the first time, two magic wavelengths near 396 nm for the ^{40}Ca^{+} clock transition are measured simultaneously with high precision. By tuning the applied laser to an intermediate wavelength between transitions 4s_{1/2}→4p_{1/2} and 4s_{1/2}→4p_{3/2}, the sensitivity of the clock transition Stark shift to the oscillator strengths is greatly enhanced. Furthermore, with the measured magic wavelengths, we determine the ratio of the oscillator strengths with a deviation of less than 0.5%. Our experimental method may be applied to measure magic wavelengths for other ion clock transitions. Promisingly, the measurement of these magic wavelengths paves the way to building all-optical trapped ion clocks.