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This study demonstrates that total entanglement entropy in many-body localized systems exhibits a non-monotonic trajectory, initially increasing before decreasing as initial entanglement is tuned. The researchers attribute this counterintuitive behavior to the interplay between finite magnetization linked to local integrals of motion and subsequent inter-site correlations within the random-field XXZ model. These findings refine the understanding of how initial conditions dictate entanglement dynamics in systems that resist thermalization, offering new insights into quantum information preservation in complex environments.

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Entanglement grows, then shrinks, in localized quantum systems

Quantum ZeitgeistOctober 13, 20264 min read

In many-body localized systems, total entanglement entropy first increases, then shrinks, as initial entanglement is tuned—a new study using the random-field XXZ model reveals this behavior.

Pengfei Zhang of Fudan University and the Hefei National Laboratory, along with colleagues, have discovered a surprising pattern in how entanglement grows within quantum systems that resist thermalization. Their work reveals that total entanglement entropy in many-body localized systems initially increases, then decreases as the initial entanglement is adjusted, a departure from the expected continued growth. Researchers identified that this behavior stems from a combination of finite magnetization linked to local integrals of motion and, subsequently, inter-site correlations. This provides a more…

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