论文标题
量子猝灭后的纠缠负效和互信息：时空双重性的确切链接
Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
论文作者
论文摘要
我们研究了量子淬灭后的三方，一维多体系统中两个相邻区域之间纠缠的生长。将复制技巧与时空双重性转换相结合，我们得出了纠缠负性和renyi-1/2共同信息之间的确切，普遍的关系，这些信息比所有子系统的尺寸都短于时刻。我们的证明直接适用于任何翻译不变的局部量子电路，即以局部交互作用为特征的离散时间的任何晶格系统，无论其动力学性质如何。我们的派生表明，这种关系可以直接扩展到以有限最大速度传播的任何系统。
We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. Combining a replica trick with a space-time duality transformation, we derive an exact, universal relation between the entanglement negativity and Renyi-1/2 mutual information which holds at times shorter than the sizes of all subsystems. Our proof is directly applicable to any translationally invariant local quantum circuit, i.e., any lattice system in discrete time characterised by local interactions, irrespective of the nature of its dynamics. Our derivation indicates that such a relation can be directly extended to any system where information spreads with a finite maximal velocity.
