论文标题
雷德伯格链时期4期的kibble-zurek指数和手性转变
Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
论文作者
论文摘要
Rydberg原子的链已经成为一个令人惊叹的操场，以1D研究量子物理。尤其可以通过kibble-zurek机制探索与电荷密度波的相称的过渡，并可能存在具有动态指数$ z> 1 $的手性转变。在这里，我们通过有效的封锁模型从理论上解决了这个问题，在这些模型中，短途排斥被没有双重占用的约束代替。对于周期4阶段，我们表明有一个Ashkin-Teller Transition点，指数$ν= 0.78 $，被动态指数$ Z = 1.14 $和Kibble-Zurek指数$μ= 0.4 $包围。对于具有范德华潜力的Rydberg原子，我们建议实验值$μ= 0.25 $是由于$ z \ simeq 1.9 $和$ν\ simeq 0.47 $的手性转变围绕着Ashkin-Teller的过渡，靠近四态Potts Potts Unciality。
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 $ν=0.78$ surrounded by a direct chiral transition with a dynamical exponent $z=1.14$ and a Kibble-Zurek exponent $μ=0.4$. For Rydberg atoms with a van der Waals potential, we suggest that the experimental value $μ=0.25$ is due to a chiral transition with $z\simeq 1.9$ and $ν\simeq 0.47$ surrounding an Ashkin-Teller transition close to the 4-state Potts universality.
