Emergent glassy behavior in a kagome Rydberg atom array

Abstract

We present large-scale quantum Monte Carlo simulation results on a realistic Hamiltonian of kagome-lattice Rydberg atom arrays. Although the system has no intrinsic disorder, intriguingly, our analyses of static and dynamic properties on large system sizes reveal \textit{emergent} glassy behavior in a region of parameter space located between two valence bond solid phases. The extent of this glassy region is demarcated using the Edwards-Anderson order parameter, and its phase transitions to the two proximate valence bond solids -- as well as the crossover towards a trivial paramagnetic phase -- are identified. We demonstrate the intrinsically slow (imaginary) time dynamics deep inside the glassy phase and discuss experimental considerations for detecting such a quantum disordered phase with numerous nearly degenerate local minima. Our proposal paves a new route to the study of real-time glassy phenomena and highlights the potential for quantum simulation of a distinct phase of quantum matter beyond solids and liquids in current-generation Rydberg platforms.

7+4 pages, 4+5 figures

References in corpus (23)

• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Glassy dynamics of kinetically constrained models
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Quantum simulation and computing with Rydberg-interacting qubits
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Quantum phases of Rydberg atoms on a kagome lattice
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
• Dynamical preparation of quantum spin liquids in Rydberg atom arrays
• Spin-charge separation in a 1D Fermi gas with tunable interactions
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Triangular lattice quantum dimer model with variable dimer density
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Machine learning discovery of new phases in programmable quantum simulator snapshots
• Global scheme of sweeping cluster algorithm to sample among topological sectors
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Variational Approach to Quantum Spin Liquid in a Rydberg Atom Simulator

Cited by in corpus (31)

• Emergent Gauge Theory in Rydberg Atom Arrays
• Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
• Dynamical properties of quantum many-body systems with long range interactions
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Quantum slush state in Rydberg atom arrays
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
• Quantum optimization within lattice gauge theory model on a quantum simulator
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Exploring the topological sector optimization on quantum computers
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• Quantifying spatio-temporal patterns in classical and quantum systems out of equilibrium
• Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states
• Classical fully-packed loop model with attractive interactions on the square lattice
• Spin-glass quantum phase transition in amorphous arrays of Rydberg atoms
• Addressing general measurements in quantum Monte Carlo
• Topological order in symmetric blockade structures
• Frustrated Rydberg Atom Arrays Meet Cavity-QED: Emergence of the Superradiant Clock Phase
• Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays