Probabilistic state preparation of a single molecular ion by projection measurement

Abstract

We show how to prepare a single molecular ion in a specific internal quantum state in a situation where the molecule is trapped and sympathetically cooled by an atomic ion and where its internal degrees of freedom are initially in thermal equilibrium with the surroundings. The scheme is based on conditional creation of correlation between the internal state of the molecule and the translational state of the collective motion of the two ions, followed by a projection measurement of this collective mode by atomic ion shelving techniques. State preparation in a large number of internal states is possible.

4 pages, 2 figures, 2 tables

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• Trapped-Ion State Detection through Coherent Motion
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• Quantum logic for control and manipulation of molecular ions using a frequency comb
• Microwave quantum logic spectroscopy and control of molecular ions
• Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions
• Unresolved sideband photon recoil spectroscopy of molecular ions
• Measurement-based ground state cooling of a trapped ion oscillator