相空间中量子相互作用图像的可视化
Visualizing the Quantum Interaction Picture in Phase Space
摘要：
我们说明了量子系统的状态在希尔伯特空间中的量子相互作用图像的演化和相空间中的Wigner函数的局部和全局变换的组合之间的对应关系。为了这个目的，我们考虑的时间演化的量子化谐振子驱动的线性和二次（在玻色子创建和湮灭运营商）的潜力，并采用马格努斯系列推导出的时间演化运营商的确切形式。在这种情况下，相互作用图像对应于相空间-参考系到与Wigner函数同动的相空间-参考系的局部变换。
英文摘要：
We illustrate the correspondence between the quantum Interaction Picture-evolution of the state of a quantum system in Hilbert space and a combination of local and global transformations of its Wigner function in phase space. To this aim, we consider the time-evolution of a quantized harmonic oscillator driven by both a linear and a quadratic (in terms of bosonic creation and annihilation operators) potentials and employ the Magnus series to derive the exact form of the time-evolution operator. In this case, the Interaction Picture corresponds to a local transformation of phase space-reference frame into the one that is co-moving with the Wigner function.
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