Modular Hamiltonian for (holographic) excited states
arXiv:2002.04637 · doi:10.1103/PhysRevD.102.026021
Abstract
In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT - at large -, correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to estimate the modular Hamiltonian in a large N approximation. Finally we present a holographic formula, based on the BDHM prescription, to compute the modular evolution of operators in the corresponding CFT algebra.
arXiv commentVersion accepted in PRD. Major (grammar and structure) changes wrt v1. Examples added
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