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arXiv · 1804.05604

Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench

M. Asadi·M. Ali-Akbari
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Abstract

We study the time evolution of holographic mutual and tripartite information for a zero temperature $CFT$, derives to a non-relativistic thermal Lifshitz field theory by a quantum quench. We observe that the symmetry breaking does not play any role in the phase space, phase of parameters of sub-systems, and the length of disentangling transition. Nevertheless, mutual and tripartite information indeed depend on the rate of symmetry breaking. We also find that for large enough values of $\delta t$ the quantity $t_{eq}\delta t^{-1}$, where $\delta t$ and $t_{eq}$ are injection time and equilibration time respectively, behaves universally, $i.e.$ its value is independent of length of separation between sub-systems. We also show that tripartite information is always non-positive during the process indicates that mutual information is monogamous.

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M. Asadi, M. Ali-Akbari. 2018-04-16. Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench. https://doi.org/10.1016/j.physletb.2018.09.008

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