We describe simulations of the quantum dynamics of a confocal cavity QED system that realizes an intrinsically driven-dissipative spin glass. A close connection between open quantum dynamics and replica symmetry breaking is established, in which individual quantum trajectories are the replicas. We observe that entanglement plays an important role in the emergence of replica symmetry breaking in a fully connected, frustrated spin network of up to 15 spin-$1/2$ particles. Quantum trajectories of entangled spins reach steady-state spin configurations of lower energy than that of semiclassical trajectories. Cavity emission allows monitoring of the continuous stochastic evolution of spin configurations, while backaction from this projects entangled states into states of broken Ising and replica symmetry. The emergence of spin glass order manifests itself through the simultaneous absence of magnetization and the presence of nontrivial spin overlap density distributions among replicas. Moreover, these overlaps reveal incipient ultrametric order, in line with the Parisi replica symmetry breaking solution for the Sherrington-Kirkpatrick model. A nonthermal Parisi order parameter distribution, however, highlights the driven-dissipative nature of this quantum optical spin glass. This practicable system could serve as a test bed for exploring how quantum effects enrich the physics of spin glasses.

中文翻译：

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驱动耗散量子自旋玻璃中的纠缠和复制对称性破缺

我们描述了共焦腔 QED 系统的量子动力学模拟，该系统实现了本质驱动耗散自旋玻璃。开放量子动力学和复制对称破缺之间建立了密切的联系，其中单个量子轨迹是复制品。我们观察到，在最多 15 个自旋的完全连接、受挫自旋网络中，纠缠在复制对称破缺的出现中发挥着重要作用。$1/2$粒子。纠缠自旋的量子轨迹达到比半经典轨迹能量更低的稳态自旋构型。空腔发射允许监测自旋构型的连续随机演化，而由此产生的反作用将纠缠态投射到伊辛破缺状态和复制对称状态。自旋玻璃有序的出现通过同时缺乏磁化和复制品之间不平凡的自旋重叠密度分布的存在来体现。此外，这些重叠揭示了早期的超量序，与 Sherrington-Kirkpatrick 模型的 Parisi 复制对称破缺解一致。然而，非热帕里西有序参数分布凸显了这种量子光学自旋玻璃的驱动耗散性质。这个实用的系统可以作为探索量子效应如何丰富自旋玻璃物理学的试验台。