论文标题

Rydberg链中的保形和手性相变

Conformal and chiral phase transitions in Rydberg chains

论文作者

Maceira, Ivo A., Chepiga, Natalia, Mila, Frédéric

论文摘要

使用密度矩阵重新归一化组模拟在开放链上,我们在$ 1/r^6 $相互作用的现实模型的Rydberg链的现实模型的不相差无序阶段中绘制了波形,我们在3和4阶段的过渡中定位并表征沿着相应线的点并表征这些点。我们确认这是该周期3阶段的三州potts,并且我们证明它是Ashkin-Teller,售价为$ν\ simeq 0.80 $在该周期-4阶段。我们进一步表明,靠近这些点的过渡仍然是连续的,但是与手性转变一致,波形的比例完全不同。最后,我们建议将共形点用作Kibble-Zurek实验的基准,从而定义了对手性通用类别的结论性识别的路线图。

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 $ν\simeq 0.80$ 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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