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Bulletin of the American Physical Society

Quantum logic scheme for state detection of molecular ions

Shiqian Ding, Huanqian Loh, Roland Hablützel, Dzmitry Matsukevich

Published Jun 4, 2014• 0 citations
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We present a quantum logic scheme to detect atomic and molecular ions in different states of angular momentum based on their magnetic $g$ factors. The state-dependent magnetic $g$ factors mean that electronic, rotational, or hyperfine states may be distinguished by their Zeeman splittings in a given magnetic field. Driving motional sidebands of a chosen Zeeman splitting enables reading out the corresponding state of angular momentum with an auxiliary logic ion. As a proof-of-principle demonstration, we show that we can detect the ground electronic state of a $^{174}\mathrm{Yb}^{+}$ ion using $^{171}\mathrm{Yb}^{+}$ as the logic ion. Further, we can distinguish between the $^{174}\mathrm{Yb}^{+}$ ion being in its ground electronic state versus the metastable ${}^{2}{D}_{3/2}$ state. We discuss the suitability of this scheme for the detection of rotational states in molecular ions.

arXiv:1412.1720•Physical Review A•Dec 29, 2014•4 citations
We present a quantum logic scheme to detect atomic and molecular ions in different states of angular momentum based on their magnetic ggg factors. The state-dependent magnetic ggg factors mean that electronic, rotational, or hyperfine states may be distinguished by their Zeeman splittings in a given magnetic field. Driving motional sidebands of a chosen Zeeman splitting enables reading out the corresponding state of angular momentum with an auxiliary logic ion. As a proof-of-principle demonstration, we show that we can detect the ground electronic state of a 174Yb+^{174}\mathrm{Yb}^{+}174Yb+ ion using 171Yb+^{171}\mathrm{Yb}^{+}171Yb+ as the logic ion. Further, we can distinguish between the 174Yb+^{174}\mathrm{Yb}^{+}174Yb+ ion being in its ground electronic state versus the metastable 2D3/2{}^{2}{D}_{3/2}2D3/2​ state. We discuss the suitability of this scheme for the detection of rotational states in molecular ions.