Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays

Ejaaz Merali; Isaac J. S. De Vlugt; Roger G. Melko

Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays

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arxiv 2107.00766 v3 pith:P5I3O5CX submitted 2021-07-01 cond-mat.str-el cond-mat.quant-gasquant-ph

Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays

Ejaaz Merali , Isaac J. S. De Vlugt , Roger G. Melko This is my paper

classification cond-mat.str-el cond-mat.quant-gasquant-ph

keywords rydbergarraysquantumalgorithmatomscarloefficientexpansion

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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.

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Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
cond-mat.str-el 2023-02 unverdicted novelty 5.0

Numerical simulations of the Rydberg triangular lattice model show order-by-disorder √3×√3 order at half filling and an emergent KT phase at finite temperature.