Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations
Abstract
In this work, we study the magnetic phases of a spatially modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique, we study various magnetic and topologically nontrivial phases using both single-particle properties, such as local magnetization and quantum entropy, and many-body ones, such as pair-wise Néel and long-range string correlations. In particular, we investigate the emergence and robustness of the Haldane phase, a topological phase of anti-ferromagnetic spin-1 chains. Furthermore, we devise a hybrid quantum algorithm employing restricted Boltzmann machine to simulate the ground state of such a system that shows very good agreement with the results of exact diagonalization and DMRG.
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1903654
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Name: Journal of Chemical Physics Journal Volume: 157 Journal Issue: 22; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Sajjan, Manas, Alaeian, Hadiseh, and Kais, Sabre. Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations. United States: N. p., 2022.
Web. doi:10.1063/5.0128283.
Sajjan, Manas, Alaeian, Hadiseh, & Kais, Sabre. Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations. United States. https://doi.org/10.1063/5.0128283
Sajjan, Manas, Alaeian, Hadiseh, and Kais, Sabre. Wed .
"Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations". United States. https://doi.org/10.1063/5.0128283.
@article{osti_1903654,
title = {Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations},
author = {Sajjan, Manas and Alaeian, Hadiseh and Kais, Sabre},
abstractNote = {In this work, we study the magnetic phases of a spatially modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique, we study various magnetic and topologically nontrivial phases using both single-particle properties, such as local magnetization and quantum entropy, and many-body ones, such as pair-wise Néel and long-range string correlations. In particular, we investigate the emergence and robustness of the Haldane phase, a topological phase of anti-ferromagnetic spin-1 chains. Furthermore, we devise a hybrid quantum algorithm employing restricted Boltzmann machine to simulate the ground state of such a system that shows very good agreement with the results of exact diagonalization and DMRG.},
doi = {10.1063/5.0128283},
journal = {Journal of Chemical Physics},
number = 22,
volume = 157,
place = {United States},
year = {Wed Dec 14 00:00:00 EST 2022},
month = {Wed Dec 14 00:00:00 EST 2022}
}
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