论文标题
简单地确定一般多层系统中的黑色状态
Simple determination of dark states in a general multi-level system
论文作者
论文摘要
在具有能量转变的多层能量系统中，黑色状态是完全由基态组成的哈密顿量的本征状态，而激发态在激发态中的幅度为零。我们提出了几个标准，该标准允许一个人根据汉密尔顿一般的一般多层系统推断出黑暗状态的存在。黑暗状态可以证明是将基态连接到激发态的子元素的右呈矢量。此外，我们显示了一种简单的方法，可以找到涉及从同一子序列构建的矩阵的决定因素的黑暗状态。
In a multi-level energy system with energy transitions, dark states are eigenstates of a Hamiltonian that consist entirely of ground states, with zero amplitude in the excited states. We present several criteria which allows one to deduce the presence of dark states in a general multi-level system based on the submatrices of the Hamiltonian. The dark states can be shown to be the right-singular vectors of the submatrix that connect the ground states to the excited states. Furthermore, we show a simple way of finding the dark state involving the determinant of a matrix constructed from the same submatrix.
