Gapless deconfined phase in a $\mathbb{Z}_N$ symmetric Hamiltonian created in a cold-atom setup
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| Autores principales: | , , , , |
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| Formato: | Preprint |
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2024
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| _version_ | 1866910819590078464 |
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| author | Rakov, Mykhailo V. Tagliacozzo, Luca Lewenstein, Maciej Zakrzewski, Jakub Chanda, Titas |
| author_facet | Rakov, Mykhailo V. Tagliacozzo, Luca Lewenstein, Maciej Zakrzewski, Jakub Chanda, Titas |
| contents | We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95, 053608 (2017)]. In the low-energy regime, this system is governed by a unique $\mathbb{Z}_N$ gauge theory, where field theory arguments have suggested that it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid phase and a Bose liquid phase, along with two gapped (confined and deconfined) phases. We address these predictions numerically by using large-scale density matrix renormalization group simulations. Our findings provide conclusive evidence for the existence of a gapless Bose liquid phase for $N \geq 7$. We demonstrate that this gapless phase shares the same critical properties as one-dimensional critical phases, resembling weakly coupled chains of Luttinger liquids. In the range of ladder and cylinder geometries and $N$ considered, the gapless dipolar phase predicted theoretically is still elusive and its characterization will probably require a full two-dimensional treatment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gapless deconfined phase in a $\mathbb{Z}_N$ symmetric Hamiltonian created in a cold-atom setup Rakov, Mykhailo V. Tagliacozzo, Luca Lewenstein, Maciej Zakrzewski, Jakub Chanda, Titas Strongly Correlated Electrons Quantum Gases Statistical Mechanics High Energy Physics - Lattice We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95, 053608 (2017)]. In the low-energy regime, this system is governed by a unique $\mathbb{Z}_N$ gauge theory, where field theory arguments have suggested that it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid phase and a Bose liquid phase, along with two gapped (confined and deconfined) phases. We address these predictions numerically by using large-scale density matrix renormalization group simulations. Our findings provide conclusive evidence for the existence of a gapless Bose liquid phase for $N \geq 7$. We demonstrate that this gapless phase shares the same critical properties as one-dimensional critical phases, resembling weakly coupled chains of Luttinger liquids. In the range of ladder and cylinder geometries and $N$ considered, the gapless dipolar phase predicted theoretically is still elusive and its characterization will probably require a full two-dimensional treatment. |
| title | Gapless deconfined phase in a $\mathbb{Z}_N$ symmetric Hamiltonian created in a cold-atom setup |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.12109 |