Quantum Ising model on two dimensional anti-de Sitter space
- URL: http://arxiv.org/abs/2309.04383v2
- Date: Sun, 3 Dec 2023 15:10:32 GMT
- Title: Quantum Ising model on two dimensional anti-de Sitter space
- Authors: Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice and Goksu Can
Toga
- Abstract summary: 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.
- Score: 1.0377683220196874
- License: http://creativecommons.org/licenses/by/4.0/
- 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 gated-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.
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