Entanglement negativity after a local quantum quench in conformal field theories
Entanglement negativity after a local quantum quench in conformal field theories
复制标题
共形场论中局部量子淬灭后的纠缠负性
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
S. Ryu
中科院分区：
文献类型：
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作者：
X. Wen;P. Chang;S. Ryu
我们研究了（1+1）维共形场论（CFTs）中局域量子猝灭后纠缠负性的时间演化，我们通过突然加入两个初始解耦的CFTs在其端点引入。我们计算了相邻区间和不相交区间的负性演化。对于两个相邻的时间间隔，纠缠负性在猝灭后立即随时间增长。在发展出类似平台的特征之后，纠缠负性下降到基态值。对于两个空间分离的区间，在负性演化中观察到光锥行为;此外，可以产生与两个区间之间的距离无关的长程纠缠。我们的结果与启发式图像一致，即携带纠缠的准粒子从连接点发射并在系统中自由传播。我们的分析结果证实了基于临界谐波链的数值计算。
We study the time evolution of the entanglement negativity after a local quantum quench in (1+1)-dimensional conformal field theories (CFTs), which we introduce by suddenly joining two initially decoupled CFTs at their endpoints. We calculate the negativity evolution for both adjacent intervals and disjoint intervals explicitly. For two adjacent intervals, the entanglement negativity grows logarithmically in time right after the quench. After developing a plateau-like feature, the entanglement negativity drops to the ground-state value. For the case of two spatially separated intervals, a light-cone behavior is observed in the negativity evolution; in addition, a long-range entanglement, which is independent of the distance between two intervals, can be created. Our results agree with the heuristic picture that quasiparticles, which carry entanglement, are emitted from the joining point and propagate freely through the system. Our analytical results are confirmed by numerical calculations based on a critical harmonic chain.