论文标题
纠缠和相关性扩散在非热旋转链中
Entanglement and Correlation Spreading in non-Hermitian Spin Chains
论文作者
论文摘要
非热量子多体系统引起了对其外来特性的广泛兴趣，包括非常规量子关键性和拓扑。在这里，我们研究了量子信息和相关性如何在原型非铁链链产生的量子淬灭之下传播。使用映射到费米子，我们可以准确地解决问题并计算纠缠熵和热力学极限中的相关动力学。根据淬火参数，我们确定两个动态阶段。一个以快速饱和的纠缠和相关性为特征。相反，另一个是时间的对数增长，相关性比Lieb-Robinson结合的速度更快，折叠和复兴会引起调制的轻锥结构。在这里，在长期的限制中，我们通过分析我们显示的纠缠熵，以对数的大小进行对数，并以封闭形式获得有效的中央电荷。我们的结果提供了一个完全可解决的非血液多体问题的示例，该问题显示了丰富的物理学，包括纠缠和光谱过渡。
Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties, including unconventional quantum criticality and topology. Here we study how quantum information and correlations spread under a quantum quench generated by a prototypical non-Hermitian spin chain. Using the mapping to fermions we solve exactly the problem and compute the entanglement entropy and the correlation dynamics in the thermodynamic limit. Depending on the quench parameters, we identify two dynamical phases. One is characterized by rapidly saturating entanglement and correlations. The other instead presents a logarithmic growth in time, and correlations spreading faster than the Lieb-Robinson bound, with collapses and revivals giving rise to a modulated light-cone structure. Here, in the long-time limit, we compute analytically the entanglement entropy that we show to scale logarithmically with the size of the cut, with an effective central charge that we obtain in closed form. Our results provide an example of an exactly solvable non-Hermitian many-body problem that shows rich physics including entanglement and spectral transitions.
