Geometry and quantum noise

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Abstract
We study the fine structure of long‐time quantum noise in correlation functions of AdS/CFT systems. Under standard assumptions of quantum chaos for the dynamics and the observables, we estimate the size of exponentially small oscillations and trace them back to geometrical features of the bulk system. The noise level is highly suppressed by the amount of dynamical chaos and the amount of quantum impurity in the states. This implies that, despite their missing on the details of Poincaré recurrences, ‘virtual’ thermal AdS phases do control the overall noise amplitude even at high temperatures where the thermal ensemble is dominated by large AdS black holes. We also study EPR correlations and find that, in contrast to the behavior of large correlation peaks, their noise level is the same in TFD states and in more general highly entangled states.
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Funding Information
  • MEC and FEDER (FPA2012-32828)
  • Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-00042)
  • Comunidad Autonoma de Madrid (HEPHACOS S2009/ESP-1473)
  • MINECOCentro de excelencia Severo Ochoa Program (SEV-2012-0249)
  • American-Israeli Bi-National Science Foundation
  • Israel Science Foundation Center of Excellence
  • Planning and Budgeting Committee and The Israel Science Foundation “The Quantum Universe” (I Core Program)
  • Etat et la Region d'Ille-de-France, gérée par la Fondation de l'Ecole Normale Superieure

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