量子混合态在最小量子混沌模型中的纠缠

理解众多体系中量子关联的动力学是非平衡量子物理中的核心问题。我们研究了量子混合态纠缠在最小量子混沌模型——踢踏场 Ising 模型中的传播。通过结合复制技巧与模型的时空对偶性，我们确定了部分转置简约密度矩阵的精确谱。 resulting flat spectrum leads to exact relations between entanglement negativity, odd entropy and Rényi mutual information at early times. Numerical results further demonstrate that for equal tri-partitions and at late times, all entanglement measures saturate to the Haar-random values. In contrast, for unequal tri-partitions Rényi mutual information and negativity vanish at late times, implying that the corresponding reduced density matrix is factorizable. Extensive numerical simulations also show that the relation remains quantitatively valid for generic initial states, leading us to conjecture it for all initial states and all times.