Abstract

We study the spectral signatures and coherence properties of radiofrequency dressed hyperfine Zeeman sub-levels of 87Rb. Experimentally, we engineer combinations of static and RF magnetic fields to modify the response of the atomic spin states to environmental magnetic field noise. We demonstrate analytically and experimentally the existence of 'magic' dressing conditions where decoherence due to electromagnetic field noise is strongly suppressed. Building upon this result, we propose a bi-chromatic dressing configuration that reduces the global sensitivity of the atomic ground states to low-frequency noise, and enables the simultaneous protection of multiple transitions between the two ground hyperfine manifolds of atomic alkali species. Our methods produce protected transitions between any pair of hyperfine sub-levels at arbitrary (low) DC-magnetic fields.

Highlights

  • The sensitivity to environmental field fluctuations of atomic transitions in quantum systems represents a major challenge for improving the accuracy and reliability of applications such as atomic clocks [1], low-frequency field sensing [2], quantum memories [3] and information processors [4,5,6]

  • We propose a bichromatic dressing configuration that reduces the global sensitivity of the atomic ground states to low-frequency noise, and enables the simultaneous protection of multiple transitions between the two ground hyperfine manifolds of atomic alkali species

  • We find that the optimal dressing condition depends on the selected pair of dressed states as a result of the difference of the gyromagnetic factors of the two electronic ground-state hyperfine manifolds, nonlinear Zeeman shifts [27] and Bloch-Siegert shift effects [28]

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Summary

INTRODUCTION

The sensitivity to environmental field fluctuations of atomic transitions in quantum systems represents a major challenge for improving the accuracy and reliability of applications such as atomic clocks [1], low-frequency field sensing [2], quantum memories [3] and information processors [4,5,6]. We find that the optimal dressing condition (i.e., that with reduced magnetic field sensitivity) depends on the selected pair of dressed states as a result of the difference of the gyromagnetic factors of the two electronic ground-state hyperfine manifolds, nonlinear Zeeman shifts [27] and Bloch-Siegert shift effects [28]. It is not possible to fully cancel the influence of magnetic field fluctuations for all transitions, our scheme defines dressed states with a magnetic sensitivity smaller than that possible with bare and single-frequency-dressed atoms This scheme can be used to improve the robustness of qudits encoded in the electronic ground state of alkali atoms, for which control protocols have been recently demonstrated using microwave pulses [29,38].

RF DRESSING OF THE GROUND-STATE MANIFOLD OF ALKALI ATOMS
Resonant condition in RF-dressed states
SPECTROSCOPY AND PROTECTION OF RF-DRESSED 87Rb
Preparation of the atomic cloud
Protected transitions with ultracold RF-dressed atoms
Principles of extended protection
Sensitivity of the bichromatic driven atom to DC amplitude noise
Fractional frequency fluctuations of a bichromatic dressed atom
Findings
CONCLUSION
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