The Magic Barrier before Thermalization

• URL: http://arxiv.org/abs/2510.11681v1
• Date: Mon, 13 Oct 2025 17:47:22 GMT
• Title: The Magic Barrier before Thermalization
• Authors: Lukas Ebner, Berndt Müller, Andreas Schäfer, Leonhard Schmotzer, Clemens Seidl, Xiaojun Yao,
• Abstract summary: We investigate the time dependence of anti-flatness in the entanglement spectrum on a subsystem of a linear SU(2) plaquette chain during thermalization.<n>We find that the anti-flatness exhibits a barrier-like maximum during the time period when the entanglement entropy grows rapidly.<n>We conclude that quantitative simulations of thermalization for nonabelian gauge theories require quantum computing.
• Score: 0.8620335948752808
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the time dependence of anti-flatness in the entanglement spectrum, a measure for non-stabilizerness and lower bound for non-local quantum magic, on a subsystem of a linear SU(2) plaquette chain during thermalization. Tracing the time evolution of a large number of initial states, we find that the anti-flatness exhibits a barrier-like maximum during the time period when the entanglement entropy of the subsystem grows rapidly from the initial value to the microcanonical entropy. The location of the peak is strongly correlated with the time when the entanglement exhibits the strongest growth. This behavior is found for generic highly excited initial computational basis states and persists for coupling constants across the ergodic regime, revealing a universal structure of the entanglement spectrum during thermalization. We conclude that quantitative simulations of thermalization for nonabelian gauge theories require quantum computing. We speculate that this property generalizes to other quantum chaotic systems.

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