论文标题

量子狂犬模型的参数依赖性统一转换方法

Parameter-dependent unitary transformation approach for quantum Rabi model

论文作者

Zhang, Degang

论文摘要

通过在职业数字表示和巴格曼空间中采用参数依赖性的统一转换方法,通过使用参数依赖的统一转换方法来解决量子狂犬模型。在所有物理参数的整个范围内介绍了由两个双重脱位亚能光谱组成的完整能谱的分析表达式。每个能级由单位转换中的参数确定,该参数遵守高度非线性方程。就物理参数而言,相应的本征函数是一个收敛的无限序列。由于在某些物理参数值下相邻特征状态之间的水平穿越,因此这种变性可能会导致两级系统中新型的物理现象,并带有光 - 含量相互作用。

Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space. The analytical expressions for the complete energy spectrum consisting of two double-fold degenerate sub-energy spectra are presented in the whole range of all the physical parameters. Each energy level is determined by a parameter in the unitary transformation, which obeys a highly nonlinear equation. The corresponding eigenfunction is a convergent infinite series in terms of the physical parameters. Due to the level crossings between the neighboring eigenstates at certain physical parameter values, such the degeneracies could lead to novel physical phenomena in the two-level system with the light-matter interaction.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源