$Z_3$ Kitaev-Potts模型中的量子相变
Quantum phase transition in the $Z_3$ Kitaev-Potts model
摘要：
研究了容错量子计算的候选模型$Z_3$ Kitaev模型诱导的拓扑序相位相对于三态Potts模型诱导的局域序相位的稳定性.我们证明了Kitaev-Potts模型的低能部分在存在横向磁场的情况下映射到Potts模型。我们的研究依赖于两个高阶级数展开的基础上连续酉变换的限制，小和大波茨耦合以及平均场近似。我们的分析表明，$Z_3$ Kitaev模型的拓扑相位分解到Potts模型通过一级相变。通过对基态能量、单准粒子能隙和纠缠度的几何测度的分析，我们捕捉到了相变。
英文摘要：
The stability of the topological order phase induced by the $Z_3$ Kitaev model, which is a candidate for fault-tolerant quantum computation, against the local order phase induced by the 3-State Potts model is studied. We show that the low energy sector of the Kitaev-Potts model is mapped to the Potts model in the presence of transverse magnetic field. Our study relies on two high-order series expansion based on continuous unitary transformations in the limits of small- and large-Potts couplings as well as mean-field approximation. Our analysis reveals that the topological phase of the $Z_3$ Kitaev model breaks down to the Potts model through a first order phase transition. We capture the phase transition by analysis of the ground state energy, one-quasiparticle gap and geometric measure of entanglement.
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