Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays

2021/07/01 by Ejaaz Merali, Merali, Ejaaz, Isaac J. S. De Vlugt +3 · 1 citation
Decision Sciences · Mathematics · #FOS: Physical sciences #Forecasting Techniques and Applications #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Methods and Bayesian Inference #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2107.00766

openalex publication_date 2021/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Arrays of Rydberg atoms are a powerful platform to realize strongly-interacting quantum many-body systems. A common Rydberg Hamiltonian is free of the sign problem, meaning that its equilibrium properties are amenable to efficient simulation by quantum Monte Carlo (QMC). In this paper, we develop a Stochastic Series Expansion QMC algorithm for Rydberg atoms interacting on arbitrary lattices. We describe a cluster update that allows for the efficient sampling and calculation of physical observables for typical experimental parameters, and show that the algorithm can reproduce experimental results on large Rydberg arrays in one and two dimensions.

Cited by

• Probing Defects with Quantum Simulator Snapshots

Related

• Quantum Monte Carlo simulations in the restricted Hilbert space of Rydberg atom arrays
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Quantum stochastic series expansion methods
• Tunable topological protection in Rydberg lattices via a novel quantum Monte Carlo approach
• Scalar QED with Rydberg atoms