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arXiv 2206.03366quant-phhep-th
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多次淬火下谐振链中电路复杂度的演化

Evolution of circuit complexity in a harmonic chain under multiple quenches

Kuntal Pal, Kunal Pal, Ankit Gill, Tapobrata Sarkar

AI总结:

本文研究周期谐振子链在单次与多次淬火下的 Nielsen 电路复杂度,发现其不同于纠缠熵,并揭示复振后复杂度非零下界、连续淬火可显著提升复杂度及不同时刻淬火间的复杂度交叉。

摘要:

我们研究了周期谐振子链在单次和多次淬火下的 Nielsen 电路复杂度。结果表明,在多次淬火情形中,与纠缠熵等其他信息论测度相比,复杂度表现出显著不同的行为。特别地,在连续两次淬火后,当频率回到其初始值时,复杂度存在一个下限,无法使其趋近于零。此外,我们表明,通过施加大量连续淬火,时间演化态的复杂度可以提升至很高的数值,而这是单次淬火所无法实现的。该模型还展现出一个有趣现象:在不同时刻执行的两次连续淬火之间会发生复杂度交叉。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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