发表机构
Novosibirsk State Technical University（新西伯利亚国立技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究与一维开放波导强耦合的量子比特的量子拉比振荡，通过旋转波近似对多模杰恩斯-卡明斯哈密顿量精确对角化，分析了多光子过程中拉比振荡的特性。
AI 中文摘要
我们从理论上研究了由两能级原子（量子比特）与一维开放波导强耦合构成的系统中的量子拉比振荡。与传统腔量子电动力学不同，该量子比特与连续传播模式相互作用，这会产生根本不同的动力学行为。在旋转波近似下，我们用集体玻色子算子表示多模杰恩斯-卡明斯哈密顿量，并证明该系统具有两个运动积分，从而可在单激发子空间中对哈密顿量进行精确对角化。考虑初始激发的量子比特和由多光子类福克态描述的场态，我们证明拉比振荡是一种集体现象，对应于多光子态之间相差一个光子的振荡。随后，我们将分析扩展到初始场为连续谱中的多模相干态的多光子过程，在这种情况下，拉比频率对产生相干态的函数的光谱分布敏感。
英文摘要
We theoretically investigate quantum Rabi oscillations in a system consisting of a two-level atom (qubit) strongly coupled to a one-dimensional open waveguide. In contrast to conventional cavity quantum electrodynamics, the qubit interacts with a continuum of propagating modes, which gives rise to fundamentally different dynamical behavior. Within the rotating-wave approximation, we express the multimode Jaynes-Cummings Hamiltonian in terms of collective bosonic operators and show that the system possesses two integrals of motion, enabling an exact diagonalization of the Hamiltonian in the single-excitation subspace. We show that for a strongly interacting qubit-photon system, the dynamics are captured by a reduced two-level model. In this framework, each level is defined as the product of the atomic excited state and a specific field mode, which takes the form of a multiphoton Fock-like state. In this picture, the Rabi oscillations represent a collective phenomenon corresponding to oscillations between multiphoton states differing by a single photon. We then extend our analysis to multiphoton processes in which the initial field is a coherent state with a continuous spectrum. In this case, the Rabi frequency is shown to be sensitive to the spectral profile of the function that generates the coherent state.
Comments13 pages, 5 figures. The text is substantially updated
