arXiv:1509.06335 · Physical Review A

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

You Ni, Peng Xu, J. D. D. Martin

Published Dec 21, 2015• 12 citations

Abstract

Nonresonant dressing fields can make the transition frequency between two circular Rydberg states insensitive to second-order variations in the dc electric field. Perturbation theory can be used to establish the required dressing field amplitude and frequency. The same perturbative approach may be used to understand removal of the first-order dependence of the transition frequency on electric field about a bias dc electric field [Hyafil et al., Phys. Rev. Lett. 93, 103001 (2004)]. The directional alignment of the dressing and dc fields is critical in determining the electric field sensitivity of the dressed transition frequencies. This sensitivity is significantly larger for circular Rydberg states compared to low-angular momentum Rydberg states of Rb.

DOI: 10.1103/physreva.92.063418

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arXiv:1509.06335 · Physical Review A

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

You Ni, Peng Xu, J. D. D. Martin

Published Dec 21, 2015• 12 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physreva.92.063418

Related papers

Reducing the sensitivity of Rydberg atoms to dc electric fields using two-frequency ac field dressing

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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.

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.