Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

Abstract

Motivated by recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields using the quantum Monte Carlo method. For a small but nonzero transverse field, the transition longitudinal field is found to remain nearly constant. By scrutinizing the phase diagram, we uncover a narrow region where the system exhibits reentrant transitions between the disordered and antiferromagnetic phases with increasing transverse field. Our phase diagram provides a useful benchmark for quantum simulation of a Rydberg atom system.

4 pages, 3 figures

References in corpus (7)

• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Quantum phases of Rydberg atoms on a kagome lattice
• Reentrant Random Quantum Ising Antiferromagnet
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Cited by in corpus (4)

• Forecasting long-time dynamics in quantum many-body systems by dynamic mode decomposition
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Surface criticality in the mixed-field Ising model with sign-inverted next-nearest-neighbor interaction