Critical properties of the quantum Ashkin-Teller chain with chiral perturbations

Abstract

We investigate the nature of the phase transitions in the quantum Ashkin-Teller chain in the presence of chiral perturbations. We locate the Lifshitz line separating a region of direct chiral transitions from the region where the transition is through an intermediate floating phase. Furthermore, we identify a small region in the vicinity of the four-state Potts point where chiral perturbations are irrelevant and where the transition remains conformal. Implications to Rydberg atoms experiments are briefly discussed.

6 Pages, 8 Figures

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• Tunable quantum criticality in multicomponent Rydberg arrays
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder