Order by disorder in frustration-free systems: a Quantum Monte Carlo study of a two-dimensional PXP model

Abstract

In this study, an order by disorder mechanism has been proposed in a two-dimensional PXP model, where the extensive degeneracy of the classical ground-state manifold is due to strict occupation constraints instead of geometrical frustrations. By performing an unbias large-scale quantum monte carlos simulation, we find that local quantum fluctuations, which usually work against long-range ordering, lift the macroscopic classical degeneracy and give rise to a compressible ground state with charge-density-wave long-range order. A simple trial wavefunction has been proposed to capture the essence of the ground-state of the two-dimensional PXP model. The finite temperature properties of this model have also been studied, and we find a thermal phase transition with an universality class of two-dimensional Ising model.

4 pages

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Cited by in corpus (7)

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• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Quantum slush state in Rydberg atom arrays
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array