论文标题

两国系统的能量

Energies of Two-State Systems

论文作者

Levy, Uri

论文摘要

量子状态的能量由相位进化指数的参数给出。因此,对两态系统(TSS)的能量的分析可以围绕Schrodinger图片中状态概率幅度的相位强调描述。在这里,通过半传统研究TSSS的能量,我们建议一种远程浏览形式,其中概率振幅的时间依赖性仅由相位进化因子表示。通过这种新的能量研究方法,我们首先重新审视非驱动的TSS,写下以固定状态设置系统(通常)的条件,并确定相关的(单个)确定能量。然后,更重要的是,我们重新访问了驱动的-TSS,确定两个固定状态,并证明存在与每个固定状态相关的两个准能量。由于我们的相位保存框架,我们显示了强驱动的旋转一半TSS的“呼吸刺激”类型的进动模。此外,我们通过一组两个耦合探针计算机模拟来体现我们的发现。对于特定示例,我们在典型的操作条件下计算并列出了几种混凝土TSS的能量。

Energies of quantum states are given by the arguments of phase-evolution exponentials. It follows then that an analysis of the energies of a two-state system (TSS) can revolve around phase-emphasized description of states' probability amplitudes in the Schrodinger picture. Here, studying energies of TSSs semi-classically, we suggest an energy-revealing format in which the time-dependence of the probability amplitudes is expressed by phase-evolution factors only. With this fresh energy-studying approach, we first revisit non-driven TSSs, write the conditions for setting a system (in general) in a stationary state, and identify the associated (single) definite energy. Then, more importantly, we revisit driven-TSSs, identify the two stationary states and prove the existence of two quasi-energies associated with each stationary state. Resulting from our phase-keeping framework, we display a "breathing-spiral" type precession-mode of a strongly-driven spin one-half TSS. Further, we exemplify our findings through a set of two coupling-probe computer simulations. For specific examples, we compute and list the energies of several concrete TSSs under typical operating conditions.

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