Pereverzev Andrey, Bittner Eric R
Department of Chemistry and Center for Materials Chemistry, University of Houston, Houston, TX 77204, USA.
Phys Chem Chem Phys. 2006 Mar 28;8(12):1378-84. doi: 10.1039/b517470h. Epub 2006 Feb 14.
The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi Hamiltonian. Through a unitary transformation that diagonalizes the Jaynes-Cummings model, we transform the counter-rotating term into separate terms representing several different physical processes. By keeping only certain terms, we can achieve an excellent approximation to the exact dynamics within specified parameter ranges.
原子与单模外部驱动场之间的相互作用是许多物理分支中普遍存在的问题，通常使用拉比哈密顿量进行建模。在本文中，我们提出了一系列可解析求解的哈密顿量，它们近似于拉比哈密顿量，并将我们的结果与忽略拉比哈密顿量中所谓反向旋转项的杰恩斯 - 卡明斯模型进行比较。通过对杰恩斯 - 卡明斯模型进行对角化的幺正变换，我们将反向旋转项转化为代表几个不同物理过程的单独项。通过仅保留某些项，我们可以在指定参数范围内对精确动力学实现出色的近似。
