论文标题
原子阻尼基础和相互作用的两级原子的集体衰减
The atomic damping basis and the collective decay of interacting two-level atoms
论文作者
论文摘要
我们发现，当基准方程在原子标签的排列下对称时，相互作用的两级原子的演变分析解决方案。主方程包括原子独立耗散。获得解决方案的方法是：首先，我们使用系统对称性来描述操作员空间的演化，其尺寸随着原子的数量而多样地生长。其次，我们以由主方程的耗散部分的特征向量组成的基础扩展解决方案，该方程模拟了原子的独立耗散。这种原子阻尼基是与玻感场使用的阻尼基原子类似物。该解决方案表明，该系统的衰减为子和超级指数项的总和。
We find analytical solutions to the evolution of interacting two-level atoms when the master equation is symmetric under the permutation of atomic labels. The master equation includes atomic independent dissipation. The method to obtain the solutions is: First, we use the system symmetries to describe the evolution in an operator space whose dimension grows polynomially with the number of atoms. Second, we expand the solutions in a basis composed of eigenvectors of the dissipative part of the master equation that models the independent dissipation of the atoms. This atomic damping basis is an atomic analog to the damping basis used for bosonic fields. The solutions show that the system decays as a sum of sub- and super-radiant exponential terms.
