Scar-induced imbalance in staggered Rydberg ladders
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915224278269952 |
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| author | Pal, Mainak Sarkar, Madhumita Sengupta, K. Sen, Arnab |
| author_facet | Pal, Mainak Sarkar, Madhumita Sengupta, K. Sen, Arnab |
| contents | We demonstrate that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, $Δ\in [0,1]$, has quantum many-body scars (QMBS) in its spectrum and represents a non-perturbative generalization of the paradigmatic PXP model defined on a chain. We show that these QMBS result in coherent many-body revivals and site-dependent magnetization dynamics for both Néel and Rydberg vacuum initial states around $Δ=1$. The latter feature leads to eigenstate thermalization hypothesis (ETH)-violating finite imbalance at long times in a disorder-free system. This is further demonstrated by constructing appropriate local imbalance operators that display nonzero long-time averages for Néel and vacuum initial states. We also study the fidelity and Shannon entropy for such dynamics which, along with the presence of long-time finite imbalance, brings out the qualitatively different nature of QMBS in PXP ladders with $Δ\sim 1$ from those in the PXP chain. Finally, we identify additional exact mid-spectrum zero modes that stay unchanged as a function of $Δ$ and violate ETH. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scar-induced imbalance in staggered Rydberg ladders Pal, Mainak Sarkar, Madhumita Sengupta, K. Sen, Arnab Quantum Physics Strongly Correlated Electrons We demonstrate that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, $Δ\in [0,1]$, has quantum many-body scars (QMBS) in its spectrum and represents a non-perturbative generalization of the paradigmatic PXP model defined on a chain. We show that these QMBS result in coherent many-body revivals and site-dependent magnetization dynamics for both Néel and Rydberg vacuum initial states around $Δ=1$. The latter feature leads to eigenstate thermalization hypothesis (ETH)-violating finite imbalance at long times in a disorder-free system. This is further demonstrated by constructing appropriate local imbalance operators that display nonzero long-time averages for Néel and vacuum initial states. We also study the fidelity and Shannon entropy for such dynamics which, along with the presence of long-time finite imbalance, brings out the qualitatively different nature of QMBS in PXP ladders with $Δ\sim 1$ from those in the PXP chain. Finally, we identify additional exact mid-spectrum zero modes that stay unchanged as a function of $Δ$ and violate ETH. |
| title | Scar-induced imbalance in staggered Rydberg ladders |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.02500 |