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Entanglement scaling transitions in chaotic quantum systems

Researchers reveal how temporal entanglement (TE) scaling changes in chaotic quantum systems, identifying a transition where TE becomes extensive and signals genuine non-Markovianity in 1D circuits.
Researchers from Princeton University, the University of Geneva, the National University of Singapore, and other institutions have identified a transition in how temporal entanglement scales within chaotic quantum systems. The work reconciles a recent argument by Foligno et al. that temporal entanglement in chaotic one-dimensional quantum circuits scales linearly with evolution time, suggesting unexpectedly high complexity, with the observed rapid thermalization of local observables. By exactly solving a random-unitary bath model, the team found a regime where temporal entanglement is extensive, yet contained within complex temporal correlations that…
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