Academic Journal

Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations.

Bibliographic Details
Title: Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations.
Authors: Sajjan, Manas, Alaeian, Hadiseh, Kais, Sabre
Source: Journal of Chemical Physics; 12/14/2022, Vol. 157 Issue 22, p1-11, 11p
Subject Terms: EXCITON theory, QUANTUM entropy, RENORMALIZATION group, MAGNETIC entropy, BOLTZMANN machine, DENSITY matrices, MAJORANA fermions, AUGER effect
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Chemical Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Array ( [Name] => Abstract [Label] => Abstract [Group] => Ab [Data] => 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. [ABSTRACT FROM AUTHOR] )
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