发表机构
Moscow Institute of Physics and Technology（莫斯科物理技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在绝热表示中推导非定态系统的密度矩阵和刘维尔方程，以两个偶极耦合的自旋1/2粒子为例，分析纠缠伪qutrit态的极化，表明纠缠态可显著改变可观测量并利于控制。
AI 中文摘要
我们在绝热表示中推导了非定态系统的密度矩阵，并获得了相应的刘维尔方程。当标准相互作用表示不适用时，这种表示特别合适。我们通过两个相同、空间分离的自旋-1/2粒子在缓慢变化的外部磁场中通过磁偶极-偶极相互作用耦合的例子来说明该方法。具体来说，我们分析了在状态变得纠缠的区间内伪qutrit态的自旋极化。我们展示了绝热表示在计算量子系统观测物理量随时间依赖关系中的应用。我们的结果表明，纠缠态可以显著改变这些可观测量的行为，并为它们的控制提供额外的机会。
英文摘要
We derive the density matrix of a nonstationary system in the adiabatic representation and obtain the corresponding Liouville equation. This representation is particularly suitable when the standard interaction representation is inapplicable. We illustrate the approach with two identical, spatially separated spin-1/2 particles coupled by a magnetic dipole-dipole interaction in a slowly varying external magnetic field. Specifically, we analyze the spin polarization of pseudo-qutrit states in regimes where the states become entangled. The application of the adiabatic representation to calculate the dependence of observed physical quantities on time for quantum systems is illustrated. Our results show that entangled states can significantly modify the behavior of these observables and provide additional opportunities for their control.
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