Z$_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator

Fuente: arXiv
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Autori principali: Zhao, Pengwei, Chen, Gang v.
Natura: Preprint
Pubblicazione: 2024
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author Zhao, Pengwei
Chen, Gang v.
author_facet Zhao, Pengwei
Chen, Gang v.
contents The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological orders among the ultracold Rydberg atom arrays, we consider the possibility of searching for topological orders among the dipolar quantum magnets and polar molecules with a kagomé lattice geometry. Together with other quantum interactions such as the transverse field, the dipolar interaction endows the kagomé system with a similar structure as the Balents-Fisher-Girvin model and thus fosters the emergence of the $\mathbb{Z}_2$ topological orders. We construct a $\mathbb{Z}_2$ lattice gauge theory to access the topological ordered phase and describe the spinon and vison excitations for the $\mathbb{Z}_2$ topological orders. We explain the spectroscopic consequences for various quantum phases as well as the experimental detection. We further discuss the rare-earth kagomé magnets, ultracold polar molecules, and cluster Mott insulators for the physical realization.
format Preprint
id arxiv_https___arxiv_org_abs_2412_21112
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Z$_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
Zhao, Pengwei
Chen, Gang v.
Strongly Correlated Electrons
Materials Science
Quantum Gases
The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological orders among the ultracold Rydberg atom arrays, we consider the possibility of searching for topological orders among the dipolar quantum magnets and polar molecules with a kagomé lattice geometry. Together with other quantum interactions such as the transverse field, the dipolar interaction endows the kagomé system with a similar structure as the Balents-Fisher-Girvin model and thus fosters the emergence of the $\mathbb{Z}_2$ topological orders. We construct a $\mathbb{Z}_2$ lattice gauge theory to access the topological ordered phase and describe the spinon and vison excitations for the $\mathbb{Z}_2$ topological orders. We explain the spectroscopic consequences for various quantum phases as well as the experimental detection. We further discuss the rare-earth kagomé magnets, ultracold polar molecules, and cluster Mott insulators for the physical realization.
title Z$_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
topic Strongly Correlated Electrons
Materials Science
Quantum Gases
url https://arxiv.org/abs/2412.21112