We derive an exact solution for the steady state of a setup where two $XX$-coupled $N$-qubit spin chains (with possibly nonuniform couplings) are subject to boundary Rabi drives and common boundary loss generated by a waveguide (either bidirectional or unidirectional). For a wide range of parameters, this system has a pure entangled steady state, providing a means for stabilizing remote multiqubit entanglement without the use of squeezed light. Our solution also provides insights into a single boundary-driven dissipative $XX$ spin chain that maps to an interacting fermionic model. The nonequilibrium steady state exhibits surprising correlation effects, including an emergent pairing of hole excitations that arises from dynamically constrained hopping. Our system could be implemented in a number of experimental platforms, including circuit QED.

中文翻译：

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边界驱动双自旋链和资源高效的远程纠缠稳定的精确结果


我们得出了一个设置稳态的精确解，其中两个 $XX$ 耦合的 $N$ 量子位自旋链（可能具有非均匀耦合）受到边界拉比驱动和公共边界损耗的影响由波导（双向或单向）产生。对于各种参数，该系统具有纯纠缠稳态，提供了一种在不使用压缩光的情况下稳定远程多量子位纠缠的方法。我们的解决方案还提供了对映射到相互作用费米子模型的单一边界驱动耗散 $XX$ 自旋链的见解。非平衡稳态表现出令人惊讶的相关效应，包括动态约束跳跃产生的空穴激发配对。我们的系统可以在许多实验平台上实现，包括电路 QED。