# Entanglement from Dissipation and Holographic Interpretation

## TL;DR

This paper explores the relationship between dissipation, entanglement, and holography, showing how dissipative dynamics can be understood through entanglement entropy and geometric duals in AdS/CFT, including wormhole interpretations.

## Contribution

It develops a canonical approach to quantum dissipation, linking entanglement entropy with holographic geometries and describing a transition from classical to quantum gravitational regimes.

## Key findings

- Dissipative dynamics are governed by entanglement entropy.
- Early-time deviations from classical General Relativity are observed.
- Late-time behavior involves wormhole solutions resembling maximally extended black holes.

## Abstract

In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach to study quantum dissipation, which consists of doubling the degrees of freedom of the original system by defining an auxiliary one. A time dependent entanglement entropy for the vacumm state is calculated and a geometrical interpretation of the auxiliary system and the entropy is given in the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We show that the dissipative dynamics is controlled by the entanglement entropy and there are two distinct stages: in the early times the holographic interpretation requires some deviation from classical General Relativity; in the later times the quantum system is described as a wormhole, a solution of the Einstein's equations near to a maximally extended black hole with two asymptotically AdS boundaries. We focus our holographic analysis in this regime, and suggest a mechanism similar to teleportation protocol to exchange (quantum) information between the two CFTs on the boundaries (see [28]).