Entanglement from Dissipation and Holographic Interpretation

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]).

Major changes. Last section removed from the old version. New section on the dual gravitational solution and the teleportation mechanism included. Figure added. References changed

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Cited by in corpus (8)

• Holographic excited states in AdS Black Holes
• Modular Hamiltonian for (holographic) excited states
• Bekenstein bound from the Pauli principle
• The Gravity Dual of Real-Time CFT at Finite Temperature
• Connecting dissipation and noncommutativity: A Bateman system case study
• Hyperbolic ring based formulation for thermo field dynamics, quantum dissipation, entanglement, and holography
• Time dependent Entanglement Entropy in dissipative conformal theories: TFD approach
• Entanglement Entropy from TFD Entropy Operator