能量注入过程中的复杂性和非复杂性
Complexity and uncomplexity during energy injection
摘要：
考虑有限温度下具有临界点和非零化学势的强耦合场论，它与渐近AdS荷电黑洞对偶。我们研究了重标度全息子区域复杂性在临界点附近和远离临界点的演化。我们解释了两个不同的概念，在这个理论的复杂性和讨论，所研究的状态是复杂的，根据需要多少信息来指定的状态，是简单的，根据有多少操作要做才能到达的状态。以前有报道说，全息子区域复杂性的时间演化与这些AdS-Vaidya-like几何中的复杂性第二定律相矛盾，但我们试图提供一个兼容的解释。我们证明减少的复杂性，使用越来越多的混合状态的微观状态和推测的描述的相对复杂性的初始状态和最终状态作为一种资源。我们建议，在这个过程中的混合状态的复杂性降低和环境的复杂性增加。我们还观察到，在这个模型中，重新标度的全息子区域复杂性是一个很好的观察探测动力学临界指数。
英文摘要：
We consider a strongly coupled field theory with a critical point and nonzero chemical potential at finite temperature, which is dual to an asymptotically AdS charged black hole. We study the evolution of the rescaled holographic subregion complexity near and far from the critical point. We explain two distinct concepts of complexity in this theory and discuss that the state under study is complex based on how much information is needed to specify the state and is simple according to how many operations have to be done to reach the state. It has been reported before that time evolution of holographic subregion complexity contradicts the second law of complexity in these AdS-Vaidya-like geometries, but we try to provide a compatible interpretation. We justify decreasing of complexity using an increasing number of microstates of the mixed state and speculate about the description of the relative complexity of the initial state and the final state as a resource. We propose that in this process complexity of the mixed state decreases and complexity of the environment increases. We also observe that in this model, the rescaled holographic subregion complexity is a good observable for probing the dynamical critical exponent.
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