From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States

Abstract

In this paper, we study excited states in Anti-de Sitter (AdS) space prepared by local operator insertions of a massive scalar field, corresponding to local operator quenches in a free bulk scalar theory. Using the AdS/CFT correspondence, we compute the time evolution of boundary observables in the dual CFT states. We then introduce a hard wall in AdS Poincare coordinates to impose an infrared cutoff (hard-wall), creating a confining deformation of the dual conformal field theory, and analyze the dynamics of excited states in this confining background. By comparing the evolution of boundary two-point correlation functions in the deformed theory to the statistics of Gaussian random matrix ensembles, we show that for sufficiently heavy operators, the spacing-ratio statistics of peaks in temporal dynamics are closest to those of the Gaussian Symplectic Ensemble (GSE). Finally, we extend the analysis to the compact BTZ black hole and to its hard-wall deformation, finding qualitatively similar trends.

v1: 23 pages, 5 figures; v2: 27 pages, 6 figures, details added, references added, typos corrected, improved numerics in figures, acknowledgments updated

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