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.
Highlights
Entanglement entropy for a spatial region A in a quantum field theory is defined by the von Neumann entropy of the corresponding reduced density matrix, SA = −Tr(ρA log ρA)
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
ΡA is the reduced density matrix given by ρA = TrAρ with Abeing the complement of A and ρ is the total density matrix describing the state of the corresponding quantum field theory
Summary
The main aim of this article is to study different scaling behaviors of the n-partite information in the thermalization process of a strongly coupled field theory undergoing a global quantum quench using the holographic description. Taking into account that n-partite information may be expressed in terms of the entanglement entropy of different entangling regions, one may utilize the procedure of [38, 39] to compute the corresponding entanglement entropy and thereby to study the evolution of n-partite information during a global quantum quench. We have enclosed the paper with some further details of calculations in an appendix
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