General solutions to the quantum Rabi model involve subspaces with an unbounded number of photons. However, for the multiqubit multimode case, we find special solutions with at most one photon for an arbitrary number of qubits and photon modes. Such solutions exist for arbitrary single qubit-photon coupling strength with constant eigenenergy, while still being qubit-photon entangled states. Taking advantage of their peculiarities and the reach of the ultrastrong coupling regime, we propose an adiabatic scheme for the fast and deterministic generation of a two-qubit Bell state and arbitrary single-photon multimode $W$ states with nonadiabatic error less than 1%. Finally, we propose a superconducting circuit design to catch and release the $W$ states, and shows the experimental feasibility of the multimode multiqubit quantum Rabi model.

中文翻译：

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用于 FastW 状态生成的多量子位多模量子 Rabi 模型的单光子解决方案

量子 Rabi 模型的一般解决方案涉及具有无限数量光子的子空间。然而，对于多量子位多模情况，我们找到了对于任意数量的量子位和光子模式最多只有一个光子的特殊解决方案。对于具有恒定特征能量的任意单个量子位-光子耦合强度，同时仍然是量子位-光子纠缠态，存在此类解决方案。利用它们的特性和超强耦合机制的范围，我们提出了一种绝热方案，用于快速和确定性地生成双量子比特贝尔态和任意单光子多模$宽$非绝热误差小于 1% 的状态。最后，我们提出了一种超导电路设计来捕捉和释放$宽$ 状态，并展示了多模多量子比特量子 Rabi 模型的实验可行性。