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Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots

机译：量子力学和半经典方法的比较，用于分析量子点中的自旋动力学

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摘要

Two approaches to the description of spin dynamics of electron-nuclear system in quantum dots are compared: the quantum-mechanical one is based on direct diagonalization of the model Hamiltonian and semiclassical one is based on coupled equations for precession of mean electron spin and mean spin of nuclear spin fluctuations. The comparison was done for a model problem describing periodic excitation of electron-nuclear system by optical excitation. The computation results show that scattering of parameters related to fluctuation of the nuclear spin system leads to appearance of an ordered state in the system caused by periodic excitation and to the effect of electron-spin mode locking in an external magnetic field. It is concluded that both models can qualitatively describe the mode-locking effect, however give significantly different quantitative results. This may indicate the limited applicability of the precession model for describing the spin dynamics in quantum dots in the presence of optical pumping.
机译：比较了两种描述量子点中电子核系统自旋动力学的方法：量子力学方法是基于模型哈密顿量的直接对角线化，而半经典方法是基于耦合方程式的平均电子自旋和平均自旋的进动核自旋波动比较了一个模型问题，该模型问题描述了通过光激发来周期性激发电子-核系统。计算结果表明，与核自旋系统波动有关的参数的散射导致系统中出现由周期性激励引起的有序状态，并导致电子自旋模式锁定在外部磁场中。结论是，两个模型都可以定性描述锁模效果，但是给出的定量结果却大不相同。这可能表明岁差模型用于描述在存在光泵浦的情况下量子点中的自旋动力学的有限适用性。

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