Quantum chaos and the holographic principle

• URL: http://arxiv.org/abs/2604.12784v1
• Date: Tue, 14 Apr 2026 14:19:21 GMT
• Title: Quantum chaos and the holographic principle
• Abstract summary: We review the construction of the chaos-assisted low-dimensional holographic correspondence for non-experts.<n>We will discuss two independent 'bridges' between bulk and boundary physics.<n>We will demonstrate that the resolution of these fine-grained quantum scales requires the extension of semiclassical gravity by elements of string theory.
• Score: 41.99844472131922
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Recent years have witnessed tremendous progress in developing a fine-grained low-dimensional holographic correspondence, specifically the construction of quantum mechanical boundary theories as holographic duals of two-dimensional gravity. In these developments, quantum chaos played a crucial role, both as source of universality and as a guiding principle for the matching of bulk and boundary signatures of gravity. In this article we review the construction of the chaos-assisted low-dimensional holographic correspondence for non-experts. We open with an introductory discussion of the two main protagonists of the theory, the SYK model and two-dimensional Jackiw-Teitelboim gravity. Within this framework we will discuss two independent 'bridges' between bulk and boundary physics, one pertaining to early time chaotic instabilities, the other to late time quantum chaos up to and including time scales of the order of the gravitational quantum level spacing. We will demonstrate that the resolution of these fine-grained quantum scales requires the extension of semiclassical gravity by elements of string theory. We conclude with an outlook towards higher dimensional generalizations of the chaotic holographic correspondence.

Related papers

• Observation of gravity-like signatures in holographic codes on a quantum computer [7.400104060653817]
  Anti-de Sitter/Conformal Field Theory provides a valuable theoretical framework for unification of quantum mechanics and general relativity.<n>We present and measure a code construction whose entropic behavior is reminiscent of a highly quantum wormhole.<n>Our experiments illustrate how quantum computers can serve as testbeds for modeling the emergence of spacetime.
  arXiv  Detail & Related papers  (2026-07-13T18:03:31Z)
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity [45.88028371034407]
  We revisit quantum field theory in curved spacetime as a semi-classical framework for quantum matter on classical geometries.<n>We outline a teleparallel framework based on coframe and spin-connection variables, where gravity is encoded in torsion rather than string curvature.
  arXiv  Detail & Related papers  (2026-06-08T15:02:26Z)
• Temporal Entanglement from Holographic Entanglement Entropy [44.99833362998488]
  We propose a systematic prescription to characterize temporal entanglement in quantum field theory.<n>For holographic quantum field theories, our prescription amounts to an analytic continuation of all co-dimension-two bulk extremal surfaces.<n>We show that it leads to results with self-consistent physical properties of temporal entanglement.
  arXiv  Detail & Related papers  (2025-07-23T18:14:21Z)
• Emergent Holographic Spacetime from Quantum Information [0.0]
  Holographic duality describes gravitational theories in terms of quantum many-body systems.<n> quantum information theory provides a crucial tool that directly connects microscopic structures of these systems to the geometries of gravitational spacetimes.
  arXiv  Detail & Related papers  (2025-06-07T00:05:10Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Quantum gravity states, entanglement graphs and second-quantized tensor networks [0.0]
  In recent years, the import of quantum information techniques in quantum gravity opened new perspectives in the study of the microscopic structure of spacetime. We contribute to such a program by establishing a precise correspondence between the quantum information formalism of tensor networks (TN), in the case of projected entangled-pair states (PEPS) generalised to a second-quantized framework, and group field theory (GFT) states.
  arXiv  Detail & Related papers  (2020-12-23T12:20:25Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• Quantum many-body physics from a gravitational lens [8.020530603813416]
  We discuss recent developments in holographic duality in connection with quantum many-body dynamics. These include insights into strongly correlated phases without quasiparticles and their transport properties. We also discuss recent progress in understanding the structure of holographic duality itself using quantum information.
  arXiv  Detail & Related papers  (2020-04-13T19:05:24Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.