More on entanglement properties of $Lif_4^{(2)}\times {S}^1\times S^5$ spacetime with string excitations

TL;DR

This paper investigates the entanglement structure of a specific non-relativistic holographic spacetime with string excitations, revealing insights into quantum correlations in the dual excited state of a non-relativistic quantum field theory.

Contribution

It analyzes entanglement measures like mutual and tripartite information in a Lifshitz spacetime with string excitations, extending understanding of entanglement in non-relativistic holography.

Findings

Mutual information decreases with string excitations.

Tripartite information indicates non-trivial entanglement structure.

Entanglement wedge cross-section provides insights into quantum correlations.

Abstract

The $Lif_{4}^{(2)} \times S^1 \times S^5$ spacetime is an exact solution of $F1-D2-D8$ configuration in type IIA supergravity and can accommodate charged excitations of the fundamental string. By gauge/gravity duality, it is related to an excited state of a non-relativistic QFT with anisotropic Lifshitz scaling symmetry. We study mutual and tripartite information and entanglement wedge cross-section in bulk gravity for boundary subsystems that are disjoint strips of very narrow width. Our work helps understand the nature of entanglement in the QFT excited state, which is in general a mixed one.