Conformal and chiral phase transitions in Rydberg chains

Abstract

Using density matrix renormalization group simulations on open chains, we map out the wave-vector in the incommensurate disordered phase of a realistic model of Rydberg chains with $1/r^6$ interactions, and we locate and characterize the points along the commensurate lines where the transition out of the period 3 and 4 phases is conformal. We confirm that it is 3-state Potts for the period-3 phase, and we show that it is Ashkin-Teller with $\nu \simeq 0.80$ for the period-4 phase. We further show that close to these points the transition is still continuous, but with a completely different scaling of the wave-vector, in agreement with a chiral transition. Finally, we propose to use the conformal points as benchmarks for Kibble-Zurek experiments, defining a roadmap towards a conclusive identification of the chiral universality class.

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• Probing many-body dynamics on a 51-atom quantum simulator
• Competing density-wave orders in a one-dimensional hard-boson model
• MERA for Spin Chains with Continuously Varying Criticality
• Improved numerical methods for infinite spin chains with long-range interactions

Cited by in corpus (20)

• Emergent Gauge Theory in Rydberg Atom Arrays
• Critical lines and ordered phases in a Rydberg-blockade ladder
• Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Tunable quantum criticality in multicomponent Rydberg arrays
• Eight-vertex criticality in the interacting Kitaev chain
• 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
• Digital-analog quantum learning on Rydberg atom arrays
• Noise-Robust Detection of Quantum Phase Transitions
• Critical properties of the quantum Ashkin-Teller chain with chiral perturbations
• Lattice Defects in Rydberg Atom Arrays
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Lee-Yang zeros in the Rydberg atoms
• Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• From Kosterlitz-Thouless to Pokrovsky-Talapov transitions in spinless fermions and spin chains with next-nearest neighbour interactions
• Generation of quantum phases of matter and finding a maximum-weight independent set of unit-disk graphs using Rydberg atoms
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder
• Topological floating phase of dipolar bosons in an optical ladder