论文标题
XY模型的非平衡阶段和相变
Nonequilibrium phases and phase transitions of the XY-model
论文作者
论文摘要
我们获得了横向场XY自旋链的稳态相图，该链链与保持在不同磁力电位的磁化储存量相连。在长期极限中，整个系统的磁化偏置会产生电流的非平衡稳态。我们将不同的非平衡阶段表征为链参数和磁力势的功能，就其相关函数和纠缠含量而言。最近观察到的横向场链链的特定情况的混合顺序过渡是作为通用平衡特征而建立的，其关键指数是分析确定的。结果也与马尔可夫储层极限获得的结果形成对比。我们的发现应该证明有助于建立扩展开放量子系统的非平衡阶段和相变的性质。
We obtain the steady-state phase diagram of a transverse field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a current-carrying non-equilibrium steady-state. We characterize the different non-equilibrium phases as functions of the chain's parameters and magnetic potentials, in terms of their correlation functions and entanglement content. The mixed-order transition, recently observed for the particular case of a transverse field Ising chain, is established to emerge as a generic out-of-equilibrium feature and its critical exponents are determined analytically. Results are also contrasted with those obtained in the limit of Markovian reservoirs. Our findings should prove helpful in establishing the properties of non-equilibrium phases and phase transitions of extended open quantum systems.
