Scar-induced imbalance in staggered Rydberg ladders

• URL: http://arxiv.org/abs/2411.02500v1
• Date: Mon, 04 Nov 2024 19:00:02 GMT
• Title: Scar-induced imbalance in staggered Rydberg ladders
• Authors: Mainak Pal, Madhumita Sarkar, K. Sengupta, Arnab Sen,
• Abstract summary: We show that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning has quantum many-body scars (QMBS) in its spectrum. QMBS result in coherent many-body revivals and site-dependent magnetization dynamics for both N'eel and Rydberg vacuum initial states around $Delta=1$.
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• Abstract: We demonstrate that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, $\Delta \in [0,1]$, 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 N\'eel and Rydberg vacuum initial states around $\Delta=1$. 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 finite long-time averages for N\'eel 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 $\Delta \sim 1$ from those in the PXP chain.

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