Waking and scrambling in holographic heating upстатья
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Дата последнего поиска статьи во внешних источниках: 7 июля 2021 г.
Аннотация:We consider a holographic model of the heating up process. As a dual background we take a geometry describing thin shell accretion on a black brane. We find explicitly the time evolution of the mutual information during the non-equlibrium heating process from the initial temperature Ti to the final temperature Tf for the system of two intervals in the 1+1 dimensional case. We calculate widths and separation of twointervals for which the time dependence of the mutual information has the bell-like form, i.e. it starts from zero value at the wake up time, then reaches a maximal value and vanishes at the scrambling time. This form of the mutual information evolution was previously found in photosynthesis. The zone of the bell-like configurations exists for small distances x<log2/2πTi only for the particular interval sizes. For x large enough, i.e. x>>log2/2πTi, it exists only for large enough interval sizes and this zone becomes more narrow when Ti increases and becomes larger with increasing of Tf.