Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench

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.

15 pages, 6 figures

References in corpus (6)

• Entanglement as a Probe of Confinement
• Non-relativistic holography
• Lifshitz Gravity for Lifshitz Holography
• Hot Conformal Gauge Theories
• Linear response of entanglement entropy from holography
• AdS/QCD, Entanglement Entropy and Critical Temperature

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• Non-Conformal Behavior of Holographic Entanglement Measures
• Holographic entanglement renormalisation for fermionic quantum matter
• New insights on mutual information in the island approach to the Page curve
• Holographic Mutual and Tripartite Information in a Non-Conformal Background