光驱动自旋链的量子计算机实时模拟
Real-time simulation of light-driven spin chains on quantum computers
摘要：
在这项工作中，我们研究了使用IBM量子设备的量子计算机上的周期性驱动（Floquet）系统的实时演化。我们考虑一个驱动的Landau-Zener模型，并计算Floquet稳态之间的转移概率作为时间的函数。我们发现，对于这个简单的单量子比特模型，Floquet状态可以实时发展，如Floquet状态之间的跃迁概率所示。其次，我们模拟了光驱动的自旋链，并计算了含时反铁磁序参量。我们认为模型所产生的光耦合到底层电子以及那些所产生的光耦合到声子。对于双自旋链，一旦包括读出误差减轻，量子器件产生与两种模型的有效Floquet哈密顿演化相匹配的时间演化。对于三自旋链，零噪声外推产生的时间依赖性，有效的Floquet时间演化。因此，一旦实施了错误缓解程序，当前的IBM量子设备就可以提供有关由光驱动器产生的小型Floquet系统的动态信息。
英文摘要：
In this work, we study the real-time evolution of periodically driven (Floquet) systems on a quantum computer using IBM quantum devices. We consider a driven Landau-Zener model and compute the transition probability between the Floquet steady states as a function of time. We find that for this simple one-qubit model, Floquet states can develop in real-time, as indicated by the transition probability between Floquet states. Next, we model light-driven spin chains and compute the time-dependent antiferromagnetic order parameter. We consider models arising from light coupling to the underlying electrons as well as those arising from light coupling to phonons. For the two-spin chains, the quantum devices yield time evolutions that match the effective Floquet Hamiltonian evolution for both models once readout error mitigation is included. For three-spin chains, zero-noise extrapolation yields a time dependence that follows the effective Floquet time evolution. Therefore, the current IBM quantum devices can provide information on the dynamics of small Floquet systems arising from light drives once error mitigation procedures are implemented.
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