论文标题
在多个淬火下谐波链中电路复杂性的演变
Evolution of circuit complexity in a harmonic chain under multiple quenches
论文作者
论文摘要
我们在单个和多个淬火下研究了周期性谐波振荡器链中的尼尔森电路复杂性。在多个淬火方案中，与其他信息理论措施（例如纠缠熵）相比，复杂性表现出明显不同的行为。特别是，在两个连续的淬火之后，当频率返回其初始值时，复杂性的下限是无法实现的。此外，我们表明，通过施加大量连续的淬火，可以将演变状态的复杂性提高到高价值，这是不可能通过施加单个淬灭来增加的。该模型还表现出有趣的现象，即在不同时间进行的两个连续淬火之间复杂性的跨界现象。
We study Nielsen's circuit complexity in a periodic harmonic oscillator chain, under single and multiple quenches. In a multiple quench scenario, it is shown that the complexity shows remarkably different behaviour compared to the other information theoretic measures, such as the entanglement entropy. In particular, after two successive quenches, when the frequency returns to its initial value, there is a lower limit of complexity, which cannot be made to approach zero. Further, we show that by applying a large number of successive quenches, the complexity of the time evolved state can be increased to a high value, which is not possible by applying a single quench. This model also exhibits the interesting phenomenon of crossover of complexities between two successive quenches performed at different times.
