We present and benchmark a quantum computing approach to calculate the two-dimensional coherent spectrum (2DCS) of high-spin models. Our approach is based on simulating their real-time dynamics in the presence of several magnetic field pulses, which are spaced in time. We utilize the adaptive variational quantum dynamics simulation algorithm for the study due to its compact circuits, which enables simulations over sufficiently long times to achieve the required resolution in frequency space. Specifically, we consider an antiferromagnetic quantum spin model that incorporates Dzyaloshinskii-Moriya interactions and single-ion anisotropy. The obtained 2DCS spectra exhibit distinct peaks at multiples of the magnon frequency, arising from transitions between different eigenstates of the unperturbed Hamiltonian. By comparing the one-dimensional coherent spectrum with 2DCS, we demonstrate that 2DCS provides a higher resolution of the energy spectrum. We further investigate how the quantum resources scale with the magnitude of the spin using two different binary encodings of the high-spin operators: the standard binary encoding and the Gray code. At low magnetic fields both encodings require comparable quantum resources, but at larger field strengths the Gray code is advantageous. Numerical simulations for spin models with increasing number of sites indicate a polynomial system-size scaling for quantum resources. Lastly, we compare the numerical 2DCS with experimental results on a rare-earth orthoferrite system. The observed strength of the magnonic high-harmonic generation signals in the 2DCS of the quantum high-spin model aligns well with the experimental data, showing significant improvement over the corresponding mean-field results.

中文翻译：

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通过量子计算方法获得高自旋模型的二维相干谱


我们提出并衡量了一种量子计算方法来计算高自旋模型的二维相干谱（2DCS）。我们的方法基于在存在多个时间间隔的磁场脉冲的情况下模拟它们的实时动态。我们利用自适应变分量子动力学模拟算法进行研究，因为它的电路紧凑，可以在足够长的时间内进行模拟，以在频率空间中实现所需的分辨率。具体来说，我们考虑了一种反铁磁量子自旋模型，该模型结合了 Dzyaloshinskii-Moriya 相互作用和单离子各向异性。获得的 2DCS 谱在磁振子频率的倍数处表现出明显的峰值，这是由未扰动的哈密顿量的不同本征态之间的转变引起的。通过将一维相干谱与 2DCS 进行比较，我们证明 2DCS 提供了更高分辨率的能谱。我们使用高自旋算子的两种不同的二进制编码（标准二进制编码和格雷码）进一步研究量子资源如何随着自旋的大小而缩放。在低磁场下，两种编码都需要相当的量子资源，但在较大的磁场强度下，格雷码更具优势。随着站点数量的增加，自旋模型的数值模拟表明量子资源的多项式系统尺寸缩放。最后，我们将数值 2DCS 与稀土正铁氧体系统的实验结果进行了比较。在量子高自旋模型的 2DCS 中观测到的波角高次谐波生成信号的强度与实验数据非常吻合，显示出相对于相应平均场结果的显着改进。