多重冲击后的复杂性增长
Complexity Growth Following Multiple Shocks
摘要：
本文利用“复杂性=作用”的观点，研究了全息场论中冲击波后的复杂性增长。我们考虑双黑洞-Vaidya和AdS-Vaidya的多重冲击几何。我们发现，劳埃德的约束是尊重热化过程中，在这些几何形状中的每一个，并在后期的时间，复杂性的增长饱和的值，这是成比例的最终状态的能量。结果表明，复杂性增长率的饱和值与初始温度无关，在热初始状态下，复杂性增长率总是小于真空初始状态下的值，当考虑多个冲击时，复杂性增长率变得更小.我们的结果表明，通过增加初始状态的温度，相应的复杂性增长率开始远离最终的饱和率值。
英文摘要：
In this paper by making use of the "Complexity=Action" proposal, we study the complexity growth after shock waves in holographic field theories. We consider both double black hole-Vaidya and AdS-Vaidya with multiple shocks geometries. We find that the Lloyd's bound is respected during the thermalization process in each of these geometries and at the late time, the complexity growth saturates to the value which is proportional to the energy of the final state. We conclude that the saturation value of complexity growth rate is independent of the initial temperature and in the case of thermal initial state, the rate of complexity is always less than the value for the vacuum initial state such that considering multiple shocks it gets more smaller. Our results indicate that by increasing the temperature of the initial state, the corresponding rate of complexity growth starts far from final saturation rate value.
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