Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling

Abstract

The experimental realization of the quantum Kibble-Zurek mechanism in arrays of trapped Rydberg atoms has brought the problem of commensurate-incommensurate transition back into the focus of active research. Relying on equilibrium simulations of finite intervals, direct chiral transitions at the boundary of the period-3 and period-4 phases have been predicted. Here, we study how these chiral transitions can be diagnosed experimentally with critical dynamics. We demonstrate that chiral transitions can be distinguished from the floating phases by comparing Kibble-Zurek dynamics on arrays with different numbers of atoms. Furthermore, by sweeping in the opposite direction and keeping track of the order parameter, we identify the location of conformal points. Finally, combining forward and backward sweeps, we extract all critical exponents characterizing the transition.

12 pages, 16 figures

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Cited by in corpus (6)

• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Driven Critical Dynamics in Tricitical Point
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder