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PreprintarXiv licencearXiv

Selective Quantum Mpemba Dynamics in Chaotic Spin Chains

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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BibTeX
@misc{zheng2026selective,
  title = {{Selective Quantum Mpemba Dynamics in Chaotic Spin Chains}},
  author = {Ri-Hua Zheng and Yang Xiao and Yu Wang and Ye-Hong Chen and Yan Xia},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.07081},
  eprint = {2607.07081},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.07081},
}
RIS
TY  - UNPB
TI  - Selective Quantum Mpemba Dynamics in Chaotic Spin Chains
AU  - Ri-Hua Zheng
AU  - Yang Xiao
AU  - Yu Wang
AU  - Ye-Hong Chen
AU  - Yan Xia
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2607.07081
UR  - https://arxiv.org/abs/2607.07081
AB  - 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.
ER  -