arXiv:1611.00593 · The European Physical Journal C

Covariant holographic entanglement negativity

Pankaj Chaturvedi, Vinay Malvimat, Gautam Sengupta

Published Sep 1, 2018• 43 citations

Abstract

We propose a covariant holographic conjecture for the entanglement negativity of bipartite mixed states in $$(1+1)$$ -dimensional conformal field theories dual to bulk non static $$AdS_{3}$$ configurations. Application of our conjecture to $$(1+1)$$ -dimensional conformal field theories dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduce the corresponding entanglement negativity obtained through the replica technique, in the large central charge limit. We briefly discuss the issue of the generalization of our conjecture to higher dimensions.

DOI: 10.1140/epjc/s10052-018-6259-1

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arXiv:1611.00593 · The European Physical Journal C

Covariant holographic entanglement negativity

Pankaj Chaturvedi, Vinay Malvimat, Gautam Sengupta

Published Sep 1, 2018• 43 citations

arXiv HTML PDF

Abstract

We propose a covariant holographic conjecture for the entanglement negativity of bipartite mixed states in

(1+1)

-dimensional conformal field theories dual to bulk non static

AdS_{3}

configurations. Application of our conjecture to

(1+1)

-dimensional conformal field theories dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduce the corresponding entanglement negativity obtained through the replica technique, in the large central charge limit. We briefly discuss the issue of the generalization of our conjecture to higher dimensions.

DOI: 10.1140/epjc/s10052-018-6259-1

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arXiv:1602.01147The European Physical Journal CJun 1, 201861 citations

We propose a covariant holographic conjecture for the entanglement negativity of bipartite mixed states in

(1+1)

-dimensional conformal field theories dual to bulk non static

AdS_{3}

configurations. Application of our conjecture to

(1+1)

Covariant holographic entanglement negativity for disjoint intervals in

AdS_3/CFT_2

We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in

(1+1)

dimensional conformal field theories (

CFT_{1+1}

) dual to bulk non static

AdS_3

geometries. Application of our proposal to such mixed states in a

CFT_{1+1}

dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduces the replica technique results in the large central charge limit. We also investigate the time dependent holographic entanglement negativity for such mixed states in a

CFT_{1+1}

dual to a bulk Vaidya-

AdS_3

geometry in the context of their thermalization involving bulk black hole formation.

AdS_{d+1}

geometry and

AdS_{d+1}

-Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.