Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains

Abstract

Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of charge-density waves through the Kibble-Zurek mechanism, and the possible presence of a chiral transition with dynamical exponent $z>1$. Here we address this problem theoretically with effective blockade models where the short-distance repulsions are replaced by a constraint of no double occupancy. For the period-4 phase, we show there is an Ashkin-Teller transition point with exponent $\nu =0.78$ surrounded by a direct chiral transition with a dynamical exponent $z=1.14$ and a Kibble-Zurek exponent $\mu =0.4$. For Rydberg atoms with a van der Waals potential, we suggest that the experimental value $\mu =0.25$ is due to a chiral transition with $z\simeq 1.9$ and $\nu \simeq 0.47$ surrounding an Ashkin-Teller transition close to the 4-state Potts universality.

10 pages, 10 figures + supplemental material

References in corpus (4)

• 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

Cited by in corpus (40)

• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Emergent Gauge Theory in Rydberg Atom Arrays
• Lifshitz point at commensurate melting of 1D Rydberg atoms
• Conformal and chiral phase transitions in Rydberg chains
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Critical lines and ordered phases in a Rydberg-blockade ladder
• Interface dynamics in the two-dimensional quantum Ising model
• Surrogate models for quantum spin systems based on reduced order modeling
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Commensurate-incommensurate transition in the chiral Ashkin-Teller model
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Tunable quantum criticality in multicomponent Rydberg arrays
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Critical properties of quantum three- and four-state Potts models with boundaries polarized along the transverse field
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Eight-vertex criticality in the interacting Kitaev chain
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Critical properties of the quantum Ashkin-Teller chain with chiral perturbations
• Supersymmetry and multicriticality in a ladder of constrained fermions
• Apparent delay of the Kibble-Zurek mechanism in quenched open systems
• Lattice Defects in Rydberg Atom Arrays
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$
• Tensor network investigation of the hard-square model
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
• Engineering a Josephson junction chain for the simulation of the clock model
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Operator dependence and robustness of spacetime-localized response in a quantum critical spin chain
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
• Topological floating phase of dipolar bosons in an optical ladder
• Emergent U(1) symmetry in non-particle-conserving one-dimensional models