Journal article
Quantum Ising model on two-dimensional anti-de Sitter space
Physical review. D, Vol.109(5), 054513
03/28/2024
DOI: 10.1103/PhysRevD.109.054513
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.
Details
- Title: Subtitle
- Quantum Ising model on two-dimensional anti-de Sitter space
- Creators
- Muhammad Asaduzzaman - University of IowaSimon Catterall - Syracuse UniversityYannick Meurice - University of IowaGoksu Can Toga - Syracuse University
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.109(5), 054513
- Publisher
- Amer Physical Soc
- DOI
- 10.1103/PhysRevD.109.054513
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Number of pages
- 16
- Grant note
- DE-SC0009998; DE-SC0019139 / U.S. Department of Energy; United States Department of Energy (DOE)
- Language
- English
- Date published
- 03/28/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984769615102771
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