论文标题
量子神经网络中的非ererervodic脱位顺序
Nonergodic delocalized paramagnetic states in quantum neural networks
论文作者
论文摘要
通常，假定通用相互作用的量子多体汉密尔顿的高能量本质是热的，并遵守特征态热假说。在这项工作中，我们表明量子Hopfield神经网络模型的顺磁性阶段已被定位但非ererervodic。在该模型中，置换对称性和挫败感的结合将其高能量特征性组织成簇，每个群集都可以被视为大量子自旋，并且与其他人无关。该模型在量子多体系统中提供了另一种破坏性的机制。
Typically, it is assumed that a high-energy eigenstate of a generic interacting quantum many-body Hamiltonian is thermal and obeys the eigenstate thermalization hypothesis. In this work, we show that the paramagnetic phase of a quantum Hopfield neural network model is delocalized but nonergodic. The combination of permutational symmetry and frustration in this model organize its high-energy eigenstates into clusters, which can each be considered a large quantum spin and has no correlation with others. This model provides another ergodicity-breaking mechanism in quantum many-body systems.
