Fast Scrambling in the Hyperbolic Ising Model

• URL: http://arxiv.org/abs/2503.00114v2
• Date: Mon, 07 Apr 2025 19:38:20 GMT
• Title: Fast Scrambling in the Hyperbolic Ising Model
• Authors: Goksu Can Toga, Abhishek Samlodia, Alexander F. Kemper,
• Abstract summary: We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2.<n>We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters.
• Score: 45.9982965995401
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2. The effect of the curvature is captured by site-dependent couplings obtained from the AdS2 metric applied to a flat nearest neighbor spin chain. We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters, thus making this model one of the few if not the only example where such fast scrambling behavior has been seen without all-to-all or long-range interactions. Moreover, the modest resources needed to simulate this model make it an ideal test-bed for studying scrambling and chaos on quantum computers.

Related papers

• Quantum simulation of the Sachdev-Ye-Kitaev model using time-dependent disorder in optical cavities [11.122963466881634]
  The Sachdev-Ye-Kitaev (SYK) model is a paradigm for extreme quantum chaos, non-Fermi-liquid behavior, and holographic matter.<n>Here, we propose a general scheme for densifying the coupling distribution of random disorder Hamiltonians, using a Trotterized cycling through sparse time-dependent disorder realizations.<n>We illustrate how the scheme can come to bear in the realization of the complex SYK$_4$ model in cQED platforms with available experimental resources.
  arXiv  Detail & Related papers  (2024-11-26T19:00:00Z)
• Making Quantum Collision Models Exact [0.7499722271664147]
  Quantum collision describe open quantum systems through repeated interactions with a coarse-grained environment. No complete error bounds on the simulation of system observables have been established. We show that Markovian and non-Markovian collision models can be recovered analytically from chain mapping techniques.
  arXiv  Detail & Related papers  (2024-11-20T10:01:10Z)
• Many-body tunneling in a double-well potential [0.0]
  We present an approach for evaluating Wannier functions, offering an alternative perspective on their role in many-body systems.<n>We address nonstandard Hubbard terms and demonstrate their critical influence on many-body dynamics.<n>Our findings have important implications for phenomena such as superconductivity in twisted bilayer graphene and metal-insulator transitions.
  arXiv  Detail & Related papers  (2024-09-06T14:36:31Z)
• Many-body localization properties of fully frustrated Heisenberg spin-1/2 ladder model with next-nearest-neighbor interaction [0.0]
  Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder. In this study, we investigate the MBL properties of the fully frustrated Heisenberg spin-1/2 ladder model. We compare it with the Heisenberg spin-1/2 single-chain model with next-nearest-neighbor hopping interaction.
  arXiv  Detail & Related papers  (2024-02-17T13:07:05Z)
• A Decoupled Spatio-Temporal Framework for Skeleton-based Action Segmentation [89.86345494602642]
  Existing methods are limited in weak-temporal modeling capability. We propose a Decoupled Scoupled Framework (DeST) to address the issues. DeST significantly outperforms current state-of-the-art methods with less computational complexity.
  arXiv  Detail & Related papers  (2023-12-10T09:11:39Z)
• On the Embedding Collapse when Scaling up Recommendation Models [53.66285358088788]
  We identify the embedding collapse phenomenon as the inhibition of scalability, wherein the embedding matrix tends to occupy a low-dimensional subspace. We propose a simple yet effective multi-embedding design incorporating embedding-set-specific interaction modules to learn embedding sets with large diversity.
  arXiv  Detail & Related papers  (2023-10-06T17:50:38Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• Provable Model-based Nonlinear Bandit and Reinforcement Learning: Shelve Optimism, Embrace Virtual Curvature [61.22680308681648]
  We show that global convergence is statistically intractable even for one-layer neural net bandit with a deterministic reward. For both nonlinear bandit and RL, the paper presents a model-based algorithm, Virtual Ascent with Online Model Learner (ViOL)
  arXiv  Detail & Related papers  (2021-02-08T12:41:56Z)
• Fast scrambling without appealing to holographic duality [0.0]
  We study the dynamics of a non-integrable spin chain model composed of two ingredients. Unlike other fast scrambling many-body systems, this model is not known to be dual to a black hole.
  arXiv  Detail & Related papers  (2020-04-23T15:53:15Z)

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.