Counterdiabatic Hamiltonians for multistate Landau-Zener problem
Counterdiabatic Hamiltonians for multistate Landau-Zener problem
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DOI：
10.21468/scipostphys.5.3.029
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发表时间：
2018-05
期刊：
影响因子：
5.5
通讯作者：
Kohji Nishimura;Kazutaka Takahashi
中科院分区：
文献类型：
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作者：
Kohji Nishimura;Kazutaka Takahashi
我们研究了推广到多态系统的Landau-Zener跃迁。基于Sinitsyn等人的工作。参考文献[Rev. Lett. 120, 190402(2018)]，我们引入辅助哈密顿量，这些哈密顿量被解释为反绝热项。我们发现反绝热哈密顿量满足零曲率条件。详细研究了辅助哈密顿量的一般结构，并利用积分轮廓的变形和辅助哈密顿量的渐近形式计算了时间演化算子。对于几种具有横向场的自旋模型，我们计算了初始基态和最终基态之间的跃迁概率，发现该方法对研究非绝热状态是有用的。
We study the Landau–Zener transitions generalized to multistate systems. Based on the work by Sinitsyn et al. [Phys. Rev. Lett. 120, 190402 (2018)], we introduce the auxiliary Hamiltonians that are interpreted as the counterdiabatic terms. We find that the counterdiabatic Hamiltonians satisfy the zero curvature condition. The general structures of the auxiliary Hamiltonians are studied in detail and the time-evolution operator is evaluated by using a deformation of the integration contour and asymptotic forms of the auxiliary Hamiltonians. For several spin models with transverse field, we calculate the transition probability between the initial and final ground states and find that the method is useful to study nonadiabatic regime.