Quantum Ising model on two-dimensional anti-de Sitter space

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice, Goksu Can Toga

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper investigates the transverse Ising model on a discretization of two-dimensional anti-de Sitter space. We use classical and quantum algorithms to simulate real-time evolution and measure out-of-time-ordered correlators (OTOC). The latter can probe thermalization and scrambling of quantum information under time evolution. We compared tensor network-based methods both with simulation on gate-based superconducting quantum devices and analog quantum simulation using Rydberg arrays. While studying this system's thermalization properties, we observed different regimes depending on the radius of curvature of the space. In particular, we find a region of parameter space where the thermalization time depends only logarithmically on the number of degrees of freedom.

Original languageEnglish (US)
Article number054513
JournalPhysical Review D
Volume109
Issue number5
DOIs
StatePublished - Mar 1 2024

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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