手征反常的纠缠不对称性表征
Entanglement asymmetry characterization of the Chiral Anomaly
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中文总结 AI 辅助
该研究利用纠缠不对称性，探究1+1维交错费米子哈密顿量的手征反常效应，发现热力学极限下对易子消失时纠缠不对称性仍非零且有新颖标度行为，实现了手征反常的格点表征。
中文摘要 AI 辅助
Shao等人近期证明，1+1维交错费米子哈密顿量存在一整套格点算子，在热力学极限（TL）下流向相同的轴向荷。在格点上，主轴向荷不与矢量荷对易，尽管其对易子预计在TL下消失，这为手征反常提供了格点实现。我们利用纠缠不对称性研究该反常对基态的影响，出乎意料的是，尽管对易子在TL下消失，不对称性仍保持非零，并呈现出新颖的标度行为。
英文摘要
Shao et al. recently showed that the 1+1D staggered fermion Hamiltonian admits a whole algebra of lattice operators that flow to the same axial charge in the thermodynamic limit (TL). On the lattice the principal axial charge does not commute with the vector charge, although their commutator is expected to vanish in the TL, providing a lattice realization of the chiral anomaly. We investigate the effect of this anomaly on the ground state(s) using the entanglement asymmetry. Unexpectedly, the asymmetry remains nonzero in the TL, despite the vanishing of the commutator, and exhibits a novel scaling behavior.
