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arXiv 2607.07081quant-ph

光谱混沌不能决定量子姆潘巴交叉

Selective Quantum Mpemba Dynamics in Chaotic Spin Chains

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

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中文总结 AI 辅助

研究量子姆潘巴效应中局部排序反转现象,通过在守恒U(1)自旋链中比较光谱能级统计与纠缠不对称性交叉,发现光谱混沌不能单独决定姆潘巴交叉,交叉响应还受局部电荷扇区相干性进入约化密度矩阵方式的影响。

中文摘要 AI 辅助

在对称性恢复的量子姆潘巴效应中,具有更强局部对称性破缺的初始态比更接近对称流形的态更快地失去该记忆。我们在一个干净的守恒U(1)自旋链中,通过比较相同哈密顿量的光谱能级统计与纠缠不对称性的交叉,来测试这种局部排序反转是否由混沌热化组织。我们发现仅高斯正交系综(GOE)类能级统计不能决定姆潘巴交叉是否发生。在不同场纹理中,GOE类光谱可伴有或不伴有纠缠不对称性交叉,交叉也可出现在远离GOE参考处。近交错失谐控制进一步表明,即使总电荷扇区相干性反转也不一定产生纠缠不对称性交叉。因此,交叉响应不仅由光谱混沌控制,还由局部电荷扇区相干性如何进入约化密度矩阵控制。

英文摘要

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.

发表机构

  • Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University(福州大学物理与信息工程学院)
  • School of Physics, Hangzhou Normal University(杭州师范大学物理学院)
  • Quantum Information Physics Theory Research Team, Center for Quantum Computing, RIKEN(理化学研究所量子计算中心量子信息物理理论研究组)

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