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Sympathetic cooling of molecular ion motion to the ground state

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 Added by Kenneth R. Brown
 Publication date 2014
  fields Physics
and research's language is English




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We demonstrate sympathetic sideband cooling of a $^{40}$CaH$^{+}$ molecular ion co-trapped with a $^{40}$Ca$^{+}$ atomic ion in a linear Paul trap. Both axial modes of the two-ion chain are simultaneously cooled to near the ground state of motion. The center of mass mode is cooled to an average quanta of harmonic motion $overline{n}_{mathrm{COM}} = 0.13 pm 0.03$, corresponding to a temperature of $12.47 pm 0.03 ~mu$K. The breathing mode is cooled to $overline{n}_{mathrm{BM}} = 0.05 pm 0.02$, corresponding to a temperature of $15.36 pm 0.01~mu$K.



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We present and derive analytic expressions for a fundamental limit to the sympathetic cooling of ions in radio-frequency traps using cold atoms. The limit arises from the work done by the trap electric field during a long-range ion-atom collision and applies even to cooling by a zero-temperature atomic gas in a perfectly compensated trap. We conclude that in current experimental implementations this collisional heating prevents access to the regimes of single-partial-wave atom-ion interaction or quantized ion motion. We determine conditions on the atom-ion mass ratio and on the trap parameters for reaching the s-wave collision regime and the trap ground state.
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