De Sitter holographic complexity from Krylov complexity in DSSYK

• URL: http://arxiv.org/abs/2510.13986v1
• Date: Wed, 15 Oct 2025 18:09:50 GMT
• Title: De Sitter holographic complexity from Krylov complexity in DSSYK
• Authors: Michal P. Heller, Fabio Ori, Jacopo Papalini, Tim Schuhmann, Meng-Ting Wang,
• Abstract summary: We use the recent connection between the high energy limit of the double-scaled SYK model and two-dimensional de Sitter solutions of sine dilaton gravity to identify the length of a family of geodesics spanned between future and past infinities with Krylov spread complexity.<n>This constitutes an explicit top-down microscopic realization of holographic complexity in a cosmological spacetime.
• Score: 0.8202178605741252
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We utilize the recent connection between the high energy limit of the double-scaled SYK model and two-dimensional de Sitter solutions of sine dilaton gravity to identify the length of a family of geodesics spanned between future and past infinities with Krylov spread complexity. This constitutes an explicit top-down microscopic realization of holographic complexity in a cosmological spacetime. Our identification is different from the existing holographic complexity proposals for de Sitter geometries which are anchored either on horizons as holographic screens or on timelike observers. This leads us to introduce and investigate a new cosmological holographic complexity proposal in any dimension. It is based on extremal timelike volumes anchored at the asymptotic past and future and at large values of the anchoring boundary coordinate grows linearly with growth rate proportional to the product of de Sitter entropy and temperature.

Related papers

• Ergotropy from Geometric Phases in a Dephasing Qubit [45.88028371034407]
  We analyze the geometric phase and dynamic phase acquired by a qubit coupled to an environment through pure dephasing.<n>We show that the dynamic phase depends solely on the incoherent ergotropy, reflecting its purely energetic origin.<n>The geometric phase exhibits a nontrivial dependence on both the coherent and incoherent contributions to the total ergotropy.
  arXiv  Detail & Related papers  (2026-03-01T14:22:37Z)
• Exact formula for geometric quantum complexity of cosmological perturbations [0.0]
  In this work, complexity is defined as the length of the minimal geodesic in a suitably constructed geometric space associated with the Lie group of relevant operators.<n>We focus on the $mathfraksu (1,1)$ Lie algebra, relevant for quantum fields evolving on homogeneous and isotropic cosmological backgrounds.
  arXiv  Detail & Related papers  (2025-12-16T19:39:36Z)
• Toward Krylov-based holography in double-scaled SYK [3.3587645077393655]
  We develop a precise holographic dictionary for quantities in the Krylov subspace of the double-scaled Sachdev-Ye-Kitaev model (DSSYK)<n>We demonstrate that the growth rate of Krylov state complexity corresponds to the wormhole velocity, and show that its expectation value in coherent states serves as a boundary diagnostic of firewall-like structures via bulk reconstruction.
  arXiv  Detail & Related papers  (2025-10-26T12:40:14Z)
• Observation of non-Hermitian topology in cold Rydberg quantum gases [42.41909362660157]
  We experimentally demonstrate non-Hermitian spectra topology in a dissipative Rydberg atomic gas.<n>By increasing the interaction strength, the system evolves from Hermitian to non-Hermitian regime.<n>This work establishes cold Rydberg gases as a versatile platform for exploring the rich interplay between non-Hermitian topology, strong interactions, and dissipative quantum dynamics.
  arXiv  Detail & Related papers  (2025-09-30T13:44:43Z)
• 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)
• Krylov spread complexity as holographic complexity beyond JT gravity [0.0]
  One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals.<n>Our work utilizes the recent connection between double-scaled SYK and sine-dilaton gravity to show that the quantitative relation between Krylov spread complexity and complexity = volume extends to finite temperatures and to full quantum regime on the gravity side at disk level.
  arXiv  Detail & Related papers  (2024-12-23T18:43:35Z)
• Geometric Interpretation of Timelike Entanglement Entropy [44.99833362998488]
  Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of spacetime.<n>We propose that the bulk carriers of this holographic timelike entanglement entropy are boundary-anchored extremal surfaces probing analytic continuation of holographic spacetimes into complex coordinates.
  arXiv  Detail & Related papers  (2024-08-28T12:36:34Z)
• On Krylov Complexity [0.0]
  This book explores the notion of Krylov complexity as a probe of quantum chaos and as a candidate for holographic complexity. An extensive introduction to the Lanczos algorithm, its properties and associated algebraic structures, as well as technical details related to its practical implementation is given. An exact, analytical, correspondence between the Krylov complexity of the infinite-temperature thermofield double state in the low-energy regime of the double-scaled SYK model and bulk length in the theory of gravity is established.
  arXiv  Detail & Related papers  (2024-07-04T11:57:29Z)
• Cross-Scope Spatial-Spectral Information Aggregation for Hyperspectral Image Super-Resolution [47.12985199570964]
  We propose a novel cross-scope spatial-spectral Transformer (CST) to investigate long-range spatial and spectral similarities for single hyperspectral image super-resolution. Specifically, we devise cross-attention mechanisms in spatial and spectral dimensions to comprehensively model the long-range spatial-spectral characteristics. Experiments over three hyperspectral datasets demonstrate that the proposed CST is superior to other state-of-the-art methods both quantitatively and visually.
  arXiv  Detail & Related papers  (2023-11-29T03:38:56Z)
• Krylov complexity in quantum field theory, and beyond [41.99844472131922]
  We study Krylov complexity in various models of quantum field theory.<n>We find that the exponential growth of Krylov complexity satisfies the conjectural inequality, which generalizes the Maldacena-Shenker-Stanford bound on chaos.
  arXiv  Detail & Related papers  (2022-12-29T19:00:00Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)

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.