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Quantum Ising model on two-dimensional anti-de Sitter space
Journal article   Peer reviewed

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

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice and Goksu Can Toga
Physical review. D, Vol.109(5), 054513
03/28/2024
DOI: 10.1103/PhysRevD.109.054513
url
https://www.osti.gov/biblio/2473998View
Open Access

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-timeordered 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.
Physical Sciences Physics Astronomy & Astrophysics Physics, Particles & Fields Science & Technology

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