Random displacements in critical Rydberg atom arrays

Abstract

Rydberg atom arrays promise high-fidelity quantum simulations of critical phenomena with flexible geometries. Yet experimental realizations inevitably suffer from disorder due to random displacements of atoms, leading to departures from the expected behavior. Here, we study how such positional disorder influences the Ising criticality. Since disorder breaks the ${\mathbb{Z}}_2$ symmetry, one might expect the system to flow to an infinite-strength disordered fixed point, erasing all nontrivial critical features in low spatial dimensions. Remarkably, we find instead that disorder in Rydberg systems is subjected to nontrivial local constraints, making the physics markedly different from systems with more conventional spatially short-range correlated or long-range correlated disorder. This leads to new classes of criticalities even at dimensions where conventional disorder would destroy criticality altogether. We then demonstrate as a consequence how a novel pseudo-criticality emerges in Rydberg atom chains of experimentally realistic scale, and show that the renormalization group flow is governed by a locally constrained ${\mathbb{Z}}_2$-breaking perturbation. Our findings uncover new disorder-driven phenomena and underscore the importance of carefully treating disorder effects in quantum simulators.

7 pages, 3 figures + Supplemental Material 4 pages, 2 figures

References in corpus (37)

• Probing many-body dynamics on a 51-atom quantum simulator
• Ising formulations of many NP problems
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• The ITensor Software Library for Tensor Network Calculations
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Many-body localization in a quantum simulator with programmable random disorder
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Many-body localization in a disordered quantum Ising chain
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Localization protected quantum order
• Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Quantum critical dynamics in a 5000-qubit programmable spin glass
• Universality in the three-dimensional random-field Ising model
• Critical parameters of the three-dimensional Ising spin glass
• Quantum criticality of quasi one-dimensional topological Anderson insulators
• Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
• Quantum coarsening and collective dynamics on a programmable simulator
• Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass
• Microscopic characterization of Ising conformal field theory in Rydberg chains
• Emergent Gauge Theory in Rydberg Atom Arrays
• The Quantum Transition of the Two-Dimensional Ising Spin Glass: A Tale of Two Gaps
• The fate of Parisi-Sourlas supersymmetry in Random Field models
• Variational Approach to Quantum Spin Liquid in a Rydberg Atom Simulator
• The renormalization group in quantum quenched disorder
• Many-body localization enables iterative quantum optimization
• Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
• Universal Quantum Optimization with Cold Atoms in an Optical Cavity
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Observation of Near-Critical Kibble-Zurek Scaling in Rydberg Atom Arrays
• Disordered quantum critical fixed points from holography
• Lattice Defects in Rydberg Atom Arrays
• Deep Boundary Perturbations at a Quantum Critical Point
• Spacetime Supersymmetry in the Truncated Lattice Schwinger Model