Scar-induced imbalance in staggered Rydberg ladders

• URL: http://arxiv.org/abs/2411.02500v2
• Date: Tue, 03 Dec 2024 07:47:33 GMT
• Title: Scar-induced imbalance in staggered Rydberg ladders
• Authors: Mainak Pal, Madhumita Sarkar, K. Sengupta, Arnab Sen,
• Abstract summary: We study the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning. QMBS result in coherent many-body revivals and site-dependent magnetization dynamics for both N'eel and Rydberg vacuum initial states.
• Score: 0.0
• License:
• 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 nonzero 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. Finally, we identify additional exact mid-spectrum zero modes that stay unchanged as a function of $\Delta$ and violate ETH.

Related papers

• Non-stabilizerness of Neural Quantum States [41.94295877935867]
  We introduce a methodology to estimate non-stabilizerness or "magic", a key resource for quantum complexity, with Neural Quantum States (NQS) We study the magic content in an ensemble of random NQS, demonstrating that neural network parametrizations of the wave function capture finite non-stabilizerness besides large entanglement.
  arXiv  Detail & Related papers  (2025-02-13T19:14:15Z)
• Detecting Many-Body Scars from Fisher Zeros [4.06170462962629]
  We introduce an alternative route to detect and diagnose QMBS based on Fisher zeros. For systems with scars, a continuous line of Fisher zeros will appear off the imaginary $beta$ axis and extend upward. It has the advantage of easily spotting the emergence of scars without exhaustively examining each individual quantum state.
  arXiv  Detail & Related papers  (2025-01-16T11:30:21Z)
• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
  The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
  arXiv  Detail & Related papers  (2024-10-24T19:52:27Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Weak Ergodicity Breaking in the Schwinger Model [0.0]
  We study QMBS in spin-$S$ $mathrmU(1)$ quantum link models with staggered fermions. We find that QMBS persist at $S>1/2$, with the resonant scarring regime, which occurs for a zero-mass quench. Our results conclusively show that QMBS exist in a wide class of lattice gauge theories in one spatial dimension.
  arXiv  Detail & Related papers  (2022-03-16T18:00:01Z)
• Single Trajectory Nonparametric Learning of Nonlinear Dynamics [8.438421942654292]
  Given a single trajectory of a dynamical system, we analyze the performance of the nonparametric least squares estimator (LSE) We leverage recently developed information-theoretic methods to establish the optimality of the LSE for non hypotheses classes. We specialize our results to a number of scenarios of practical interest, such as Lipschitz dynamics, generalized linear models, and dynamics described by functions in certain classes of Reproducing Kernel Hilbert Spaces (RKHS)
  arXiv  Detail & Related papers  (2022-02-16T19:38:54Z)
• Quantum Many-Body Scars in Spin-1 Kitaev Chains [1.340610646365466]
  We study the many-body scars in the spin-1 Kitaev chain where the so-called PXP Hamiltonian is exactly embedded in the spectra. We find that the scarred state is stable for perturbations which obey $vertmathbbZ_krangle$, while it becomes unstable against Heisenberg-type perturbations.
  arXiv  Detail & Related papers  (2022-01-23T10:11:32Z)
• Periodically driven Rydberg chains with staggered detuning [0.0]
  We study the stroboscopic dynamics of a driven finite Rydberg chain with staggered ($Delta$) and time-dependent uniform ($lambda(t)$) detuning terms using exact diagonalization (ED) We show that at intermediate drive ($omega_D$), the presence of a finite $Delta$ results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. The violation of ETH in these driven finite-sized chains is also evident from the dynamical freezing displayed by the density density correlation function at specific $omega_D
  arXiv  Detail & Related papers  (2021-12-29T19:04:07Z)
• Long-lived quantum coherent dynamics of a $\Lambda$-system driven by a thermal environment [0.0]
  We present a theoretical study of quantum coherent dynamics of a three-level $Lambda$ system driven by a thermal environment. Our results suggest that thermal excitations can generate experimentally observable long-lived quantum coherent dynamics in the ground-state subspace of atomic and molecular $Lambda$ systems.
  arXiv  Detail & Related papers  (2021-08-17T06:24:34Z)
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics [16.533265279392772]
  Non-unitary evolution can give rise to novel steady states classified by their entanglement properties. In this work, we aim to understand its interplay with long-range hopping that decays with $r-alpha$ in free-fermion systems.
  arXiv  Detail & Related papers  (2021-05-19T02:52:48Z)
• Boundary time crystals in collective $d$-level systems [64.76138964691705]
  Boundary time crystals are non-equilibrium phases of matter occurring in quantum systems in contact to an environment. We study BTC's in collective $d$-level systems, focusing in the cases with $d=2$, $3$ and $4$.
  arXiv  Detail & Related papers  (2021-02-05T19:00:45Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.