论文标题
一种用于构造各向同性2D谐波振荡器的挤压状态的新方法
A new method for constructing squeezed states for the isotropic 2D harmonic oscillator
论文作者
论文摘要
我们引入了一种新方法，用于构造2D各向同性谐波振荡器的挤压状态。根据[1]中相干状态的构建，我们将一组新的梯子操作员定义为2D系统，作为X和Y梯子操作员的线性组合，并构建SU（2）相干状态。新的梯子操作员用于将挤压操作员推广到2D，而SU（2）连贯的状态在2D挤压状态的扩展中扮演了Fock国家的角色。我们讨论2D挤压状态的某些特性。
We introduce a new method for constructing squeezed states for the 2D isotropic harmonic oscillator. Based on the construction of coherent states in [1], we define a new set of ladder operators for the 2D system as a linear combination of the x and y ladder operators and construct the SU(2) coherent states. The new ladder operators are used for generalizing the squeezing operator to 2D and the SU(2) coherent states play the role of the Fock states in the expansion of the 2D squeezed states. We discuss some properties of the 2D squeezed states.
