Departamento de Química-Física, UPV-EHU, Apartado 644, 48080 Bilbao, Spain.
Phys Rev Lett. 2012 Sep 7;109(10):100403. doi: 10.1103/PhysRevLett.109.100403.
A Schrödinger equation may be unitarily transformed into dynamical equations in different interaction pictures which describe a common physical process, i.e., the same underlying interactions and dynamics. In contrast to this standard scenario, other relations are also possible, such as a common interaction-picture dynamical equation corresponding to several Schrödinger equations that represent different physical processes. This may enable us to design alternative and feasible experimental routes for operations that are a priori difficult or impossible to perform. The power of this concept is exemplified by engineering Hamiltonians that improve the performance or make realizable several shortcuts to adiabaticity.
薛定谔方程可以通过幺正变换转化为不同相互作用绘景中的动力学方程，这些方程描述的是同一个物理过程，即相同的基本相互作用和动力学。与这个标准场景相反，也可能存在其他关系，例如，一个共同的相互作用绘景动力学方程对应于几个薛定谔方程，它们代表不同的物理过程。这可能使我们能够设计替代的和可行的实验途径，用于操作，这些操作在先验上是困难的或不可能的。这个概念的威力体现在工程哈密顿量上，这些哈密顿量可以提高性能或实现几个绝热捷径。
