We show that Ramsey spectroscopy of fermionic alkaline-earth atoms in asquare-well trap provides an efficient and accurate estimate for theeigenspectrum of a density matrix whose $n$ copies are stored in the nuclearspins of $n$ such atoms. This spectrum estimation is enabled by the highsymmetry of the interaction Hamiltonian, dictated, in turn, by the decouplingof the nuclear spin from the electrons and by the shape of the square-welltrap. Practical performance of this procedure and its potential applications toquantum computing, quantum simulation, and time-keeping with alkaline-earthatoms are discussed.
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机译：我们显示，方阱阱中的铁离子性碱土原子的拉姆西光谱为密度矩阵的本征谱提供了有效而准确的估计，该密度矩阵的$ n $拷贝存储在$ n $这样的原子的核自旋中。这种光谱估计是由相互作用的哈密顿量的高对称性实现的，而后者又由核自旋与电子的解耦以及方阱的形状决定。讨论了该程序的实际性能及其在量子计算，量子模拟和碱土金属保持时间方面的潜在应用。
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