Preprint
Quantum Ising model on two dimensional anti-de Sitter space
ArXiv.org
Cornell University
09/08/2023
DOI: 10.48550/arxiv.2309.04383
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.
Details
- Title: Subtitle
- Quantum Ising model on two dimensional anti-de Sitter space
- Creators
- Muhammad AsaduzzamanSimon CatterallYannick MeuriceGoksu Can Toga
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2309.04383
- ISSN
- 2331-8422
- Publisher
- Cornell University
- Language
- English
- Date posted
- 09/08/2023
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984464479602771
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