论文标题
色散状态中的耗散狂犬模型
Dissipative Rabi model in the dispersive regime
论文作者
论文摘要
电路QED的色散状态是基于超导码头的当今量子计算原型的主要主力。该模型的分析描述通常依赖于使用Jaynes-Cummings模型作为分散转换的起点。在这里，我们介绍了关于耗散性Rabi模型的分散状态的分析结果，而没有采用基础哈密顿式旋转波近似。基于Keldysh Countour的时间演变的扩展，使用最近开发的混合动力扰动理论[Phys。 Rev. A 95，013847（2017）]，我们为所有实验相关的动力学参数（例如分散偏移和谐振器诱导的purcell衰减率）提供了简单的分析表达式，将我们的分析重点放在通用的多级量子位上。分析方程易于处理，并减少到已知的Jaynes-Cummings导致相关限制。但是，它们在中间和较大的失调中显示出质的差异，从而可以更准确地建模超导码头和谐振器之间的相互作用。在强谐振器驱动器的极限下，我们的结果还可以预测新型的驱动器诱导Qubit耗散和脱位，而不是以前的理论中存在。
The dispersive regime of circuit QED is the main workhorse for todays quantum computing prototypes based on superconducting qubits. Analytic descriptions of this model typically rely on the rotating wave approximation of the interaction between the qubits and resonators, using the Jaynes-Cummings model as starting point for the dispersive transformation. Here we present analytic results on the dispersive regime of the dissipative Rabi model, without taking the rotating wave approximation of the underlying Hamiltonian. Using a recently developed hybrid perturbation theory based on the expansion of the time evolution on the Keldysh contour [Phys. Rev. A 95, 013847 (2017)], we derive simple analytic expressions for all experimentally relevant dynamical parameters like dispersive shift and resonator induced Purcell decay rate, focussing our analysis on a generic multi-level qubit. The analytical equations are easily tractable and reduce to the known Jaynes-Cummings results in the relevant limit. They however show qualitative differences at intermediate and large detuning, allowing for more accurate modelling of the interaction between superconducting qubits and resonators. In the limit of strong resonator driving, our results additionally predict new types of drive induced qubit dissipation and dephasing, not present in previous theories.
