On the Time Evolution of Holographic n-partite Information

Abstract

We study various scaling behaviors of n-partite information during a process of thermalization after a global quantum quench for n disjoint system consisting of n parallel strips whose widths are much larger than the separation between them. By making use of the holographic description for entanglement entropy we explore holographic description of the n-partite information by which we show that it has a definite sign: it is positive for even n and negative for odd n. This might be thought of as an intrinsic property of a field theory which has gravity dual.

48 pages, 29 figures; v2: Reference added; v3: Few comments and numerical results added; v4: minor modifications to match published version

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