Reducing the electric field sensitivity of a Rydberg state transition by the application of a non-resonant microwave field

Lucas Alexander Jones

Published Jan 23, 2013• 0 citations

Abstract

The 87Rb 49s->48s Rydberg state transition was rendered insensitive to electric field fluctuations about a 1V/cm dc electric field. This was accomplished by applying a non-resonant 38.445GHz microwave field to modify the electric dipole moment difference between the two states involved. This effect can be used to preserve the coherence of Rydberg state qubits in the presence of varying electric fields.

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OpenAlex

Abstract

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A nonresonant microwave dressing field at

38.465\phantom{\rule{0.28em}{0ex}}\mathrm{GHz}

was used to eliminate the static electric dipole moment difference between the

49{s}_{1/2}

and

48{s}_{1/2}

Rydberg states of

{}^{87}

Rb in dc fields of $\ensuremath{\approx}1\phantom{\rule{0.28em}{0ex}}\mathrm{V}/\mathrm{cm}$. The reduced susceptibility to electric field fluctuations was measured using two-photon microwave spectroscopy. An anomalous spectral doublet is attributed to polarization ellipticity in the dressing field. The demonstrated ability to inhibit static dipole moment differences, while retaining sensitivity to high frequency fields, is applicable to sensors and/or quantum devices using Rydberg atoms.

^{39}\mathrm{K}

, the existence of Rydberg-Rydberg transitions with extremely small differential dc Stark shifts, which we call dc-field-magic Rydberg-Rydberg transitions. These transitions hardly exhibit any Stark broadening, even when the electric-field strength varies by as much as $10\phantom{\rule{4pt}{0ex}}\mathrm{V}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$ over the experimental volume. We present a systematic study of dc-field-magic Rydberg-Rydberg transitions combining experiment and calculations and classify them in three main types, which should also be encountered in the other alkali-metal atoms, in alkaline-earth-metal atoms, and even in molecules. The observed insensitivity to dc electric fields does not reduce the interactions between Rydberg atoms, even if they are dominantly electric dipole-dipole in nature. Rydberg states coupled by dc-field-magic Rydberg-Rydberg transitions, therefore, have great potential as qubits.

90{S}_{1/2}

and

90{P}_{3/2}

states. With zero dc bias electric field, a two-frequency ac field is used to simultaneously reduce the sensitivity of both states to dc field variations. The sensitivity reduction is a factor of 95 for the

90{S}_{1/2}

state and a factor of 1600 for the

90{P}_{3/2},{m}_{J}=3/2

state. We also show how the two-frequency ac field can be used to cancel both second- and fourth-order terms in the polarizability of a single Rydberg state. These results are relevant to improving the stability of experiments that seek to excite Rydberg atoms in the proximity of charged surfaces.