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arXiv · 2607.07081

Selective Quantum Mpemba Dynamics in Chaotic Spin Chains

Ri-Hua Zheng·Yang Xiao·Yu Wang·Ye-Hong Chen·Yan Xia
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Abstract

In a symmetry-restoration quantum Mpemba effect, an initial state with stronger local symmetry breaking can lose that memory faster than a state that starts closer to the symmetric manifold. We study how this local ordering reversal depends on the spatial profile of a longitudinal field in a clean U(1)-conserving spin chain, comparing spectral level statistics with crossings of the entanglement asymmetry for the same Hamiltonians. We find that Gaussian orthogonal ensemble (GOE)-like level statistics alone do not determine whether Mpemba crossings occur. Across field textures, GOE-like spectra can occur with or without entanglement-asymmetry crossings at the same field strength. In a near-staggered detuned field, the total charge-sector coherence reverses its ordering while the entanglement asymmetry retains its initial order. This contrast links the crossing response to the distribution of local charge-sector coherence and its entropic weighting in the reduced density matrix.

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Ri-Hua Zheng, Yang Xiao, Yu Wang, Ye-Hong Chen, Yan Xia. 2026-09-21. Selective Quantum Mpemba Dynamics in Chaotic Spin Chains. https://arxiv.org/abs/2607.07081

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