Nonergodic delocalized paramagnetic states in quantum neural networks

Shuohang Wu; Zi Cai

doi:10.1103/physrevb.107.184310

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arXiv · 2205.00623

Nonergodic delocalized paramagnetic states in quantum neural networks

Shuohang Wu·Zi Cai

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Abstract

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.

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Shuohang Wu, Zi Cai. 2022-05-02. Nonergodic delocalized paramagnetic states in quantum neural networks. https://doi.org/10.1103/physrevb.107.184310

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