论文标题
高自旋的四极相互作用的旋转波近似
Rotating wave approximation for quadrupole interaction with high spin
论文作者
论文摘要
本文详细研究了由线性极化的交替磁场驱动的量子自旋系统中的旋转波近似。采用旋转波近似的常规方式是假设在减少的希尔伯特空间中受到限制的动力学。但是,当驾驶强度相对较强或驾驶不一致时,目标共振子空间的泄漏以及反旋转术语的影响不再被忽略。我们提出在整个希尔伯特空间中应用的旋转波近似,以考虑目标共振子空间的泄漏。为了包括反向旋转项的效果,我们在减少的希尔伯特空间中利用了反向杂交旋转波法。通过估计状态保真度以及操作员保真度,比较了这些旋转波近似方法的性能,结果表明,在不同的实际情况下可能采用了不同的方法。
Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave approximation is to assume the dynamics being restricted in the reduced Hilbert space. However, when the driving strength is relatively strong or the driving is off resonant, the leakage from the target resonance subspace along with the effects from the counter-rotating terms cannot be neglected anymore. We propose the rotating wave approximation applied in the full Hilbert space to take the leakage from the target resonance subspace into account. To include the effects from the counter-rotating terms, we utilize the counterrotating hybridized rotating wave method in the reduced Hilbert space. The performance of these rotating wave approximation methods is compared by estimating the state fidelity as well as the operator fidelity and the results reveal that different methods may be employed for different practical circumstances.