Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
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| Format: | Preprint |
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2023
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| _version_ | 1866914449266311168 |
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| author | Guo, Sibo Hu, Jiangping Li, Zi-Xiang |
| author_facet | Guo, Sibo Hu, Jiangping Li, Zi-Xiang |
| contents | Programmable quantum simulator using Rydberg-atom array provides a promising route to demystifying quantum many-body physics in strongly correlated systems. Motivated by recent realization of various quantum magnetic phases on frustrated Rydberg-atom array, we perform numerically exact quantum Monte-Carlo simulation to investigate the exotic states of matter emerging in the model describing Rydberg atom on triangular lattice. Our state-of-the-art simulation unveils the $\sqrt{3}\times\sqrt{3}$ triangular anti-ferromagnetic(TAF) order exists at $\frac{1}{3}$/$\frac{2}{3}$-Rydbreg filling, consistent with the observation in experiments. More fantastically, $\sqrt{3}\times\sqrt{3}$ long-range order arising from order-by-disorder mechanism emerges at $\frac{1}{2}$-filling. At finite temperature, $U(1)$ symmetry is emergent at $\frac{1}{2}$-filling and a Kosterlitz-Thouless(KT) phase transition occurs with increasing temperature. These intriguing phenomena are potentially detected in future Rydberg-atom experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2302_08963 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array Guo, Sibo Hu, Jiangping Li, Zi-Xiang Strongly Correlated Electrons Quantum Gases Statistical Mechanics Programmable quantum simulator using Rydberg-atom array provides a promising route to demystifying quantum many-body physics in strongly correlated systems. Motivated by recent realization of various quantum magnetic phases on frustrated Rydberg-atom array, we perform numerically exact quantum Monte-Carlo simulation to investigate the exotic states of matter emerging in the model describing Rydberg atom on triangular lattice. Our state-of-the-art simulation unveils the $\sqrt{3}\times\sqrt{3}$ triangular anti-ferromagnetic(TAF) order exists at $\frac{1}{3}$/$\frac{2}{3}$-Rydbreg filling, consistent with the observation in experiments. More fantastically, $\sqrt{3}\times\sqrt{3}$ long-range order arising from order-by-disorder mechanism emerges at $\frac{1}{2}$-filling. At finite temperature, $U(1)$ symmetry is emergent at $\frac{1}{2}$-filling and a Kosterlitz-Thouless(KT) phase transition occurs with increasing temperature. These intriguing phenomena are potentially detected in future Rydberg-atom experiments. |
| title | Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2302.08963 |