耗散Jaynes-Cummings模型中微观与唯象学主方程方法的比较

在有耗散的Jaynes-Cummings模型中，对原子与腔复合系统初始处于贝尔态或是原子激发态而腔场为真空态时分别运用微观与唯象学主方程进行求解，并分析这两类主方程在不同耦合区域的区别．结果显示，在强耦合和大失谐情况下，微观主方程求解得到的原子基态的布居数呈线性增长，但唯象学主方程获得的结果却呈非线性增加．在弱耦合区域，这两类主方程求解得到的原子基态布居数都出现快速增加，但是用唯象学主方程要比用微观主方程得到的布居数增加得更快．通过分析与讨论，该结果可能对耗散的腔QED中更好的实现逻辑门提供理论参考．

Microscopic versus phenomenological master equations for Jaynes-Cummings model with the cavity losses

Microscopic and phenomenological Microscopic master equations have been applied to Jaynes-Cummings model with the cavity losses when the initial state of composite system (atom cavity) is Bell state or atomic excitation state and the field state is vacuum. The differences of the two kinds of master equations have been analyzed in different coupling regimes. We find that in strong coupling regime, the increase of the population of atomics ground state is linear using the microscopic master equation, but it is non-linear by the phenomenological master equation under large coupling constants. In small coupling constants the population of atomic ground state is similar to the situations in large coupling constants. Although the ground-state populations in the two equations increase rapidly in weak coupling region, this result by phenomenological master equation increases faster than that by microscopic master equation. The conclusion may be useful for cavity quantum electrodynamics (QED) in losses cavity to provide guidance for the realization of logical gate.