arXiv:1301.4170 · Physical Review A

Rydberg atoms with a reduced sensitivity to dc and low-frequency electric fields

Lucas Alexander Jones, J. D. Carter, J. D. D. Martin

Published Feb 26, 2013• 35 citations

Abstract

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.

DOI: 10.1103/physreva.87.023423

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Tunable Rydberg–Rydberg transitions in helium with reduced sensitivity to dc electric fields by two-colour microwave dressing

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Abstract The difference in the static electric dipole polarizabilities of the 1 s 55 s 3 S 1 and 1 s 56 s 3 S 1 Rydberg levels in helium has been eliminated by dressing the atom with a microwave field near resonant with the single-photon 1 s 55 s 3 S 1 → 1 s 55 p 3 P J transition. For an 2.82 m V c m − 1 amplitude dressing field, detuned by 2 π × 10 M H z from the zero-field 1 s 55 s 3 S 1 → 1 s 55 p 3 P 2 transition frequency, the dc Stark shift of the two-photon 1 s 55 s 3 S 1 <

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

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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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arXiv:1301.4170 · Physical Review A

Rydberg atoms with a reduced sensitivity to dc and low-frequency electric fields

Lucas Alexander Jones, J. D. Carter, J. D. D. Martin

Published Feb 26, 2013• 35 citations

arXiv HTML PDF

Abstract

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.

DOI: 10.1103/physreva.87.023423

Related papers

Tunable Rydberg–Rydberg transitions in helium with reduced sensitivity to dc electric fields by two-colour microwave dressing

L L Brown, S. D. Hogan

Journal of Physics B Atomic Molecular and Optical PhysicsAug 9, 20232 citations

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

Lucas Alexander Jones

Jan 23, 20130 citations

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

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

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.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.

arXiv:1509.06335Physical Review ADec 21, 201512 citations

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

Donald W. Booth, Joshua Isaacs, Mark E. Saffman

We propose a method for reducing the sensitivity of atomic ground-to-Rydberg transitions to stray dc electric fields, using microwave-induced dressing of Rydberg states. Calculations are presented for the Cs $90{S}_{1/2}$ 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.We propose a method for reducing the sensitivity of atomic ground-to-Rydberg transitions to stray dc electric fields, using microwave-induced dressing of Rydberg states. Calculations are presented for the Cs $90{S}_{1/2}$ 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.

arXiv:1709.03437Physical Review AJan 26, 201828 citations

Demonstration of a tunable interface between Rydberg atoms and superconducting microwave circuits with differential polarizability nulling

L. L. Brown, J. A. L. Grondin, S. D. Hogan

Microwave-dressed Rydberg atoms in pairs of states that are optically accessible and engineered so that the frequency of the transition between them is tunable while exhibiting a low sensitivity to stray electric fields have been interfaced with a superconducting coplanar waveguide (CPW) microwave resonator. This was achieved with helium atoms in triplet Rydberg states with principal quantum numbers n = 55 and 56. The atoms were dressed with two strong microwave fields—a control field and a differential polarizability nulling field. The control field allowed the atoms to be coupled to the resonator using the two-color two-photon transition between the equal parity 1 s 55 s S 1 3 ≡ | 55 s 〉 and 1 s 56 s S 1 3 ≡ | 56 s 〉 Rydberg states, with one photon supplied by it and the other provided by the resonator. The nulling field was detuned from the field-free 1 s 55 s S 1 3 → 1 s 55 p P J 3 ≡ | 55 p 〉 transition to admix | 55 p 〉 character into the | 55 s 〉 state and eliminate the differential static electric dipole polarizability of the | 55 s 〉 and | 56 s 〉 states. The experiments were performed with atoms located ∼ 300 µ m above a λ / 4 niobium nitride superconducting CPW resonator operated at temperatures between 3.59 and 3.73 K . The measured ac and dc Stark shifts of the Rydberg states at this atom-circuit interface in the presence of the dressing fields are in good quantitative agreement with the results of Floquet calculations. The differential polarizability nulling fields used in the experiments allowed the difference in the Stark shifts of the | 55 s 〉 and | 56 s 〉 states over the range of dc fields offset from the residual stray field by ± 65 mV/cm to be reduced from 2 π × 2.1 MHz to 2 π × 125 kHz. Published by the American Physical Society 2024Microwave-dressed Rydberg atoms in pairs of states that are optically accessible and engineered so that the frequency of the transition between them is tunable while exhibiting a low sensitivity to stray electric fields have been interfaced with a superconducting coplanar waveguide (CPW) microwave resonator. This was achieved with helium atoms in triplet Rydberg states with principal quantum numbers n = 55 and 56. The atoms were dressed with two strong microwave fields—a control field and a differential polarizability nulling field. The control field allowed the atoms to be coupled to the resonator using the two-color two-photon transition between the equal parity 1 s 55 s S 1 3 ≡ | 55 s 〉 and 1 s 56 s S 1 3 ≡ | 56 s 〉 Rydberg states, with one photon supplied by it and the other provided by the resonator. The nulling field was detuned from the field-free 1 s 55 s S 1 3 → 1 s 55 p P J 3 ≡ | 55 p 〉 transition to admix | 55 p 〉 character into the | 55 s 〉 state and eliminate the differential static electric dipole polarizability of the | 55 s 〉 and | 56 s 〉 states. The experiments were performed with atoms located ∼ 300 µ m above a λ / 4 niobium nitride superconducting CPW resonator operated at temperatures between 3.59 and 3.73 K . The measured ac and dc Stark shifts of the Rydberg states at this atom-circuit interface in the presence of the dressing fields are in good quantitative agreement with the results of Floquet calculations. The differential polarizability nulling fields used in the experiments allowed the difference in the Stark shifts of the | 55 s 〉 and | 56 s 〉 states over the range of dc fields offset from the residual stray field by ± 65 mV/cm to be reduced from 2 π × 2.1 MHz to 2 π × 125 kHz. Published by the American Physical Society 2024

Physical Review AAug 19, 20244 citations

Use of Microwave Dressing Fields to Enhance Rydberg Atom Interactions

Joseph A. Petrus

A microwave dressing field was used to induce resonant energy transfer in translationally cold Rydberg atoms. The Rb Rydberg atoms were obtained by laser excitation of cold atoms in a magneto-optical trap. When the amplitude of a 1.356 GHz dressing field was scanned, the two-atom dipole-dipole process 43d5/2 + 43d5/2 → 45p3/2 + 41f5/2,7/2 was enhanced due to the induced degeneracy of the initial and final states. The resulting spectrum had a series of resonant field amplitudes corresponding to different magnetic sublevels possible for the states involved. The scanned field amplitude was calibrated using microwave spectroscopy of the 43d5/2− 41f transition under the influence of non-resonant dressing fields. The calibrated resonant field amplitudes agree well with ac Stark shift calculations performed using the Floquet approach. This method for enhancing interactions is complementary to dc electric field induced resonant energy transfer, but benefits from the ability to shift energy levels in either direction by choice in frequency.A microwave dressing field was used to induce resonant energy transfer in translationally cold Rydberg atoms. The Rb Rydberg atoms were obtained by laser excitation of cold atoms in a magneto-optical trap. When the amplitude of a 1.356 GHz dressing field was scanned, the two-atom dipole-dipole process 43d5/2 + 43d5/2 → 45p3/2 + 41f5/2,7/2 was enhanced due to the induced degeneracy of the initial and final states. The resulting spectrum had a series of resonant field amplitudes corresponding to different magnetic sublevels possible for the states involved. The scanned field amplitude was calibrated using microwave spectroscopy of the 43d5/2− 41f transition under the influence of non-resonant dressing fields. The calibrated resonant field amplitudes agree well with ac Stark shift calculations performed using the Floquet approach. This method for enhancing interactions is complementary to dc electric field induced resonant energy transfer, but benefits from the ability to shift energy levels in either direction by choice in frequency.

Jan 1, 20070 citations

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}

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.