Critical lines and ordered phases in a Rydberg-blockade ladder
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914709898264576 |
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| author | Eck, Luisa Fendley, Paul |
| author_facet | Eck, Luisa Fendley, Paul |
| contents | Arrays of Rydberg atoms in the blockade regime realize a wealth of strongly correlated quantum physics, but theoretical analysis beyond the chain is rather difficult. Here we study a tractable model of Rydberg-blockade atoms on the square ladder with a $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry and at most one excited atom per square. We find $D_4$, $\mathbb{Z}_2$ and $\mathbb{Z}_3$ density-wave phases separated by critical and first-order quantum phase transitions. A non-invertible remnant of $U(1)$ symmetry applies to our full three-parameter space of couplings, and its presence results in a larger critical region as well as two distinct $\mathbb{Z}_3$-broken phases. Along an integrable line of couplings, the model exhibits a self-duality that is spontaneously broken along a first-order transition. Aided by numerical results, perturbation theory and conformal field theory, we also find critical Ising$^2$ and three-state Potts transitions, and provide good evidence that the latter can be chiral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08484 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Critical lines and ordered phases in a Rydberg-blockade ladder Eck, Luisa Fendley, Paul Strongly Correlated Electrons Quantum Gases Statistical Mechanics Arrays of Rydberg atoms in the blockade regime realize a wealth of strongly correlated quantum physics, but theoretical analysis beyond the chain is rather difficult. Here we study a tractable model of Rydberg-blockade atoms on the square ladder with a $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry and at most one excited atom per square. We find $D_4$, $\mathbb{Z}_2$ and $\mathbb{Z}_3$ density-wave phases separated by critical and first-order quantum phase transitions. A non-invertible remnant of $U(1)$ symmetry applies to our full three-parameter space of couplings, and its presence results in a larger critical region as well as two distinct $\mathbb{Z}_3$-broken phases. Along an integrable line of couplings, the model exhibits a self-duality that is spontaneously broken along a first-order transition. Aided by numerical results, perturbation theory and conformal field theory, we also find critical Ising$^2$ and three-state Potts transitions, and provide good evidence that the latter can be chiral. |
| title | Critical lines and ordered phases in a Rydberg-blockade ladder |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2304.08484 |