2013/11/30 by Willy Fischler, Sandipan Kundu, Juan F. Pedraza
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #De Sitter space #De Sitter universe #Entropy (arrow of time) #Holography #Noncommutative and Quantum Gravity Theories #Quantum entanglement #Quantum many-body systems #Thermalisation #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep07(2014)021
published as JHEP 07 (2014) 021 · 39 pages, 11 figures; minor changes, conclusions unchanged
openalex publication_date 2014/07/01 · arxiv created 2014/07/07 · arxiv updated 2014/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we study various aspects of entanglement entropy in strongly- coupled de Sitter quantum field theories in various dimensions. We focus on gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations. The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology. We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon. We also explore thermalization in time-dependent situations in which the system evolves from a non-equilibrium state to the Bunch-Davies state. We find that the saturation time is equal to the light-crossing time of the sphere. This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.