论文标题
与Dzyaloshinskii-Moriya相互作用的共振XXZ Heisenberg模型中的稳定螺旋状态
Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
我们系统地研究了XXZ Heisenberg模型中可能使用Dzyaloshinskii-Moriya（DM）相互作用的螺旋状态。精确的解决方案表明，可以通过在谐振条件下故意对汉密尔顿的归化征态构建一组进动螺旋状态。根据扰动方法的分析，当非列米特平衡边界项作为淬火作用施加为淬火作用时，淬灭动力学表明，稳定的螺旋状态从一些易于制备的初始状态（包括饱和和最大混合的铁磁状态）中出现。还通过数值研究了近谐振病例的相应动力学，表明该方案的鲁棒性。我们的发现突出了量子自旋系统中非热性和DM相互作用的合作，这提出了一种准备在非铁量子量子自旋系统中稳定螺旋状态的方法。
We systematically investigate possible helix states in XXZ Heisenberg model with Dzyaloshinskii-Moriya (DM) interaction. Exact solutions show that a set of precession helix states can be constructed by deliberate superposition of degenerate eigenstates of the Hamiltonian under the resonant condition. When a non-Hermitian balance boundary term is imposed as a quenching action, the quench dynamics shows that a steady helix state emerges from some easily prepared initial states, including saturate and maximally mixed ferromagnetic states, according to the analysis of perturbation method. The corresponding dynamics for near resonant cases is also investigated numerically, indicating the robustness of the scheme. Our findings highlight the cooperation of non-Hermiticity and the DM interaction in quantum spin system, suggesting a way for preparing steady helix state in non-Hermitian quantum spin system.
