The chiral clock model in one dimension: duality and quantum field theory
Recent experiments on one-dimensional Rydberg simulators display quantum phase transitions to spatially ordered crystals with a period of N sites . These experiments are capable of probing the universal Kibble-Zurek dynamics of the transitions, allowing experimental access to critical exponents . For N>2, these transitions are in the same universality class as the Z_N chiral clock model, which exhibits a rich phase structure. In particular, this model displays a direct continuous phase transition between a gapped symmetric phase and a gapped phase with broken Z_N symmetry for certain values of N. I will present the universal quantum field theory for this transition, where the main theoretical tool is a non-local duality mapping to a theory describing the condensation of domain walls. A renormalization group analysis of the field theory gives the first analytic predictions for the critical exponents, which are compared to experimental and numerical results .
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Notes: Lunch served at 12:00 pm, talk at 12:10 pm.