Covariant holographic entanglement negativity

TL;DR

This paper introduces a covariant holographic conjecture for entanglement negativity in mixed states of conformal field theories, applicable to dynamic AdS configurations, and verifies it in specific black hole backgrounds.

Contribution

The authors propose a new covariant holographic conjecture for entanglement negativity and validate it in rotating BTZ black hole backgrounds, extending previous static case results.

Findings

Reproduces entanglement negativity for rotating BTZ black holes

Characterizes distillable entanglement in holographic CFTs

Applies to extremal black holes and zero temperature cases

Abstract

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our conjecture to $(1+1)$-dimensional conformal field theories dual to bulk rotating BTZ black holes exactly reproduces the corresponding entanglement negativity in the large central charge limit and characterizes the distillable entanglement. We further demonstrate that our conjecture applied to the case of bulk extremal rotating BTZ black holes also characterizes the entanglement negativity for the chiral half of the corresponding zero temperature $(1+1)$-dimensional holographic conformal field theories.