论文标题
矩阵产品状态和数值模式分解，用于分析量规不变的腔量子电动力学
Matrix product states and numerical mode decomposition for the analysis of gauge-invariant cavity quantum electrodynamics
论文作者
论文摘要
由于它可以源自两个正式不同但物理上等效的哈密顿量的哈密顿人，因此与拉比汉密尔顿人的级别歧义存在问题。最近已经针对具有单量化电磁模式的模型解决了此问题。在这项工作中，我们在数学上和数字上为多模型验证了这一点。有了这一建立，我们将数值方法，矩阵乘积状态（MPS）和数值模式分解（NMD）结合在一起，以分析腔QED系统。 MPS方法用于有效表示和时间演变量子状态。但是，由于Rabi Hamiltonian的耦合结构与MPS不相容，因此它被数值转换为具有链耦合结构的等效哈密顿量，从而可以有效地应用MPS。 NMD的技术用于提取任意环境的数值电磁模式。作为概念证明，通过分析各种环境中的1D腔QED系统来证明这种组合的方法。
There has been a problem of gauge ambiguities with the Rabi Hamiltonian due to the fact that it can be derived from two formally different but physically equivalent fundamental Hamiltonians. This problem has recently been resolved for models with single quantized electromagnetic mode. In this work, we mathematically and numerically verify this for multimode models. With this established, we combine the numerical methods, matrix product states (MPS) and numerical mode decomposition (NMD), for analyzing cavity QED systems. The MPS method is used to efficiently represent and time evolve a quantum state. However, since the coupling structure of the Rabi Hamiltonian is incompatible with MPS, it is numerically transformed into an equivalent Hamiltonian that has a chain coupling structure, which allows efficient application of MPS. The technique of NMD is used to extract the numerical electromagnetic modes of an arbitrary environment. As a proof of concept, this combined approach is demonstrated by analyzing 1D cavity QED systems in various settings.
