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<p>Optical super-resolution has been widely employed to beat the spatial diffraction limit, which is often stated by Abbe-Rayleigh criterion. Analogously, we propose a frequency super-resolution method, which beats conventional frequency spectral resolution limit often approximated by the full width at half maximum of the spectral peak, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Gamma\)</EquationSource> </InlineEquation>. This method utilizes recently developed quantum environment engineering technique. With numerical simulations and experiments, we demonstrate, as a proof-of-concept, the frequency super-resolution method in a three-nuclear-spin system (Trifluoroiodoethylene) by successfully decomposing a thermal state spectrum of the spin <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(F_3\)</EquationSource> </InlineEquation> into four peaks of engineered pseudo-pure states of the quantum environment. The ultimate frequency resolution reaches <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\sim 0.005 \,\Gamma\)</EquationSource> </InlineEquation>. This method is potentially useful in spectral decomposition of weakly coupled small-size nuclear spin systems.</p>

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Frequency super-resolution with quantum environment engineering in a weakly coupled three-nuclear-spin system

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月11日

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  • Tianzi Wang,
  • Qian Cao,
  • Peng Du,
  • Wenxian Zhang

摘要

Optical super-resolution has been widely employed to beat the spatial diffraction limit, which is often stated by Abbe-Rayleigh criterion. Analogously, we propose a frequency super-resolution method, which beats conventional frequency spectral resolution limit often approximated by the full width at half maximum of the spectral peak, \(\Gamma\) . This method utilizes recently developed quantum environment engineering technique. With numerical simulations and experiments, we demonstrate, as a proof-of-concept, the frequency super-resolution method in a three-nuclear-spin system (Trifluoroiodoethylene) by successfully decomposing a thermal state spectrum of the spin \(F_3\) into four peaks of engineered pseudo-pure states of the quantum environment. The ultimate frequency resolution reaches \(\sim 0.005 \,\Gamma\) . This method is potentially useful in spectral decomposition of weakly coupled small-size nuclear spin systems.