Magic Rydberg-Rydberg transitions in electric fields

Peper, Michael; Deiglmayr, Johannes; Merkt, Frédéric; Sanna, Carla; Heuvell, H. van Linden van den B.

doi:10.1103/physreva.100.032512

Cited by 10 publications

(4 citation statements)

References 36 publications

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“…However, under the action of super low frequency electric field in power systems, the frequency of the electric field is not enough to cause the Rydberg energy level to transition and cause Autler-Townes splitting. Instead, the energy level of the Rydberg atoms shifts, causing the frequency shift of the spectrum, which is the so-called Stark effect [12,13]. When valence electrons approach the ion nucleus, they are influenced by the coupling between the ion nucleus and the spinorbit.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study on Stark effect of Rydberg atom in super low frequency electric field measurement

Song,

Xiao,

et al. 2024

IET Energy Syst Integration

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Super low frequency electric field measurements are crucial in analysing electromagnetic compatibility, assessing equipment status, and other related fields. Rydberg atom‐based super low frequency electric field measurements are performed by observing the Stark shift in the spectrum of the Rydberg state. In a specific range of field strength (E < Eavoid, where Eavoid is the threshold to avoid crossing electric fields), the Rydberg atomic spectrum experiences a quadratic frequency shift in relation to the field strength, with the coefficient being determined by the atomic polarisability α. The authors establish a dynamic equation for the interaction between the external electric field and the atomic system, and present the Stark structure diagram of the Caesium Rydberg atom. The mathematical formulae for α and Eavoid in different Rydberg states are also obtained: α = A × (n*)6 + B × (n*)7 and Eavoid = C/(n*)5 + D/(n*)7, where A(B) = 2.2503 × 10−9(7.49,948 × 10−11) and C(D) = 1.68,868 × 108(2.45,991 × 109). The error of α and Eavoid compared with the experimental values does not exceed 8% and is even lower in the low Rydberg states. Accurately calculating the values of α and Eavoid is crucial in incorporating the Rydberg atom quantum coherence effect into super low frequency electric field measurements in new power systems.

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Section: Introductionmentioning

confidence: 99%

Theoretical study on Stark effect of Rydberg atom in super low frequency electric field measurement

Song,

Xiao,

et al. 2024

IET Energy Syst Integration

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“…Residual uncancelled inhomogeneous electric fields ultimately cause dephasing and limit coherence times. Therefore, in addition to choosing Rydberg-Rydberg transitions with low sensitivity to these fields [16,20,21], it is desirable to engineer the corresponding states to further minimize dc Stark shifts. This quantum state engineering can, for example, be achieved by dressing an atom with appropriate off-resonant radiofrequency or microwave fields as proposed, and subsequently demonstrated in experiments with rubidium atoms for a range of Rydberg states [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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

Brown,

Hogan

2023

J. Phys. B: At. Mol. Opt. Phys.

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The difference in the static electric dipole polarisabilities of the $1\mathrm{s}55\mathrm{s}\,^3\mathrm{S}_1$ and $1\mathrm{s}56\mathrm{s}\,^3\mathrm{S}_1 $ Rydberg levels in helium has been eliminated by dressing the atom with a microwave field near resonant with the single-photon $1\mathrm{s}55\mathrm{s}\,^3\mathrm{S}_1 \rightarrow 1\mathrm{s}55\mathrm{p}\,^3\mathrm{P}_J$ transition. For an $2.82~\mathrm{mV}\,\mathrm{cm}^{-1}$ amplitude dressing field, detuned by $2\pi\times10~\mathrm{MHz}$ from the zero-field $1\mathrm{s}55\mathrm{s}\,^3\mathrm{S}_1 \rightarrow 1\mathrm{s}55\mathrm{p}\,^3\mathrm{P}_2$ transition frequency, the dc Stark shift of the two-photon $1\mathrm{s}55\mathrm{s}\,^3\mathrm{S}_1 \rightarrow 1\mathrm{s}56\mathrm{s}\,^3\mathrm{S}_1 $ transition between these states \hl{remained within $\pm 15~\mathrm{kHz}$} for electric fields \hl{up to $\sim60~\mathrm{mV}\,\mathrm{cm}^{-1}$}. This transition was probed by single-colour two-photon microwave spectroscopy, and by two-colour two-photon spectroscopy with one strong additional dressing field and a weak probe field. For all measurements, the transition frequencies and Stark shifts were compared, and found to be in excellent quantitative agreement with the results of Floquet calculations of the energy-level structure of the Rydberg states in the presence of the dressing fields and applied dc electric fields. The two-colour microwave dressing scheme demonstrated, with one field applied to null the differential polarisability of the Rydberg-Rydberg transition, and the second exploited to allow the two-photon transition to be employed to achieve tunable absorption of single-photons from a weak probe field, will facilitate improved coherence times and tunable single-photon absorption in hybrid cavity QED experiments with Rydberg atoms and superconducting microwave circuits.

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“…For these reasons, accurate measurements and calculations of the Stark effect in high atomic and molecular Rydberg states are required. Two strategies can be followed in precision measurements of high Rydberg states: The first one consists of exploiting electric-field magic transitions [14], i.e., transitions that are insensitive to electric fields, because the Stark shifts of the initial and final states are identical. The second is to quantitatively account for the Stark shifts in well-defined electric fields.…”

Section: Introductionmentioning

confidence: 99%

Precision millimetre-wave spectroscopy and calculation of the Stark manifolds in high Rydberg states of para-H$_2$

Hölsch,

Doran,

Beyer

et al. 2022

Preprint

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Precision measurements of transitions between singlet (S = 0) Rydberg states of H2 belonging to series converging on the X + 2 Σ + g (v + = 0, N + = 0) state of H + 2 have been carried out by millimetrewave spectroscopy under field-free conditions and in the presence of weak static electric fields. The Stark effect mixes states with different values of the orbital-angular-momentum quantum number and leads to quadratic Stark shifts of low-states and to linear Stark shifts of the nearly degenerate manifold of high-states. Transitions to the Stark manifold were observed for the principal numbers 50 and 70, at fields below 50 mV/cm, with linewidths below 500 kHz. The energy-level structure was calculated using a matrix-diagonalisation approach, in which the zero-field positions of the ≤ 3 Rydberg states were obtained either from multichannel-quantum-defect-theory calculations or experiment, and those of the ≥ 4 Rydberg states from a long-range core-polarisation model. This approach offers the advantage of including rovibronic channel interactions through the MQDT treatment while retaining the advantages of a spherical basis for the determination of the off-diagonal elements of the Stark operator. Comparison of experimental and calculated transition frequencies enabled the quantitative description of the Stark manifolds, with residuals typically below 50 kHz. We demonstrate how the procedure leads to quantum defects and binding energies of high Rydberg states with unprecedented accuracy, opening up new prospects for the determination of ionisation energies in molecules.

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Magic Rydberg-Rydberg transitions in electric fields

Cited by 10 publications

References 36 publications

Theoretical study on Stark effect of Rydberg atom in super low frequency electric field measurement

Theoretical study on Stark effect of Rydberg atom in super low frequency electric field measurement

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

Precision millimetre-wave spectroscopy and calculation of the Stark manifolds in high Rydberg states of para-H$_2$

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