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Quantum many-body mixed phase space revealed by hybrid feedback control

Hang Dong, Jie Ren, Andrew Hallam, Han Wang, Zhengyi Cui, Yiren Zou, Junlin Wang, Hekang Li, Qiujiang Guo, Zhen Wang, Lei Ying, Zlatko Papić

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En palabras de los autores

Abstract Understanding how complex systems transition between order and chaos is a central challenge of non-equilibrium physics. Although weak perturbations of classical integrable systems give rise to a mixed phase space in which regular and chaotic trajectories coexist, analogous behaviour in interacting quantum many-body systems has been difficult to identify. Here we develop and experimentally implement a hybrid quantum–classical feedback protocol that autonomously discovers and stabilizes long-lived regular trajectories in a superconducting quantum processor. Each iteration combines short-time quantum evolution with classical optimization that projects the dynamics back onto a low-entanglement variational manifold, effectively distilling coherence from chaotic evolution. The stabilized trajectories reveal signatures of a quantum many-body mixed phase space emerging from nonlinear variational dynamics, without a direct analogue in few-body quantum systems described by a small number of effective degrees of freedom. Our results establish a framework for the algorithmic identification and control of coherent dynamics in quantum many-body systems.

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Apareció: viernes, 25 de septiembre. Nature Physics. Revista con revisión por pares.

DOI: 10.1038/s41567-026-03431-z