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arXiv · 2203.01163

Conformal and chiral phase transitions in Rydberg chains

Ivo A. Maceira·Natalia Chepiga·Frédéric Mila
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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.

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Ivo A. Maceira, Natalia Chepiga, Frédéric Mila. 2022-03-02. Conformal and chiral phase transitions in Rydberg chains. https://doi.org/10.1103/physrevresearch.4.043102

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