In this paper, we study the effect of both the electric and the magnetic fields on the rate of complexity growth. Our system is a charged quantum oscillator and over a period of time, we study the maximum dynamic evolution of quantum states which might lead to a strong bound on the rate of computation. We show that by turning on the electric field, the rate of complexity decreases whereas this rate has increasing behavior when the magnetic field is turned on. In this regard, we also find a critical value of the magnetic field, beyond which this rate changes its behavior drastically.

中文翻译：

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关于带电量子振荡器的复杂性

在本文中，我们研究了电场和磁场对复杂性增长速率的影响。我们的系统是一个带电的量子振荡器，在一段时间内，我们研究了量子态的最大动态演化，这可能会导致计算速率的强约束。我们表明，通过打开电场，复杂度降低，而当磁场打开时，复杂度会增加。在这方面，我们还发现了磁场的临界值，超过该临界值该速率会急剧改变其行为。