标题： 具有不同失谐参数的Jaynes-Cummings哈密顿量的超对称层次结构 显示英文标题

标题： SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters

摘要： 本文工作的目的在于展示如何将超对称（SUSY）量子力学应用于量子光学的 Jaynes-Cummings (JC) Hamiltonian。这些超对称变换连接了由不同失谐参数表征的一对 JC Hamiltonian，以及 JC Hamiltonian 和反 JC Hamiltonian。因此，JC Hamiltonian 可以通过超对称变换分类为层次结构或者序列。作为副产品，还发现了 JC Hamiltonian 的对称性，以及一个共振相互作用系统序列的特殊情形，其形式为简单的形状不变 JC Hamiltonian 层次结构。 显示英文摘要

摘要： The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes-Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes-Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes-Cummings to anti-Jaynes-Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.