Adiabatic elimination and subspace evolution of open quantum systems
Adiabatic elimination and subspace evolution of open quantum systems
复制标题
开放量子系统的绝热消除和子空间演化
作者：
Daniel Finkelstein;D. Viennot;Ibrahim Saideh;Thorsten Hansen;T. Pullerits;A. Keller
开放量子系统的有效描述可以通过对快自由度进行绝热消去和在降维中为慢自由度制定有效算子来获得。在这里，我们在频率空间中构造有效算子，并使用终值定理或Keldysh定理，我们提供了考虑到进化的非迹保持特征的密度矩阵迹的校正。我们用两个不同的系统来说明我们的结果，其中一个消除的快速子空间由连续状态集和离散状态集组成。此外，我们还证明了两个模型在耗散非常大的情况下和在相干种群捕获点处是收敛的。我们的结果也提供了一个直观的图像，修正密度矩阵的轨迹作为一个详细的平衡方程。
Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non-trace-preserving character of the evolution. We illustrate our results with two different systems, one where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we show that the two models converge for very large dissipation and at coherent population trapping points. Our results also provide an intuitive picture of the correction to the trace of the density matrix as a detailed balance equation.
影响因子：
3.7
作者：
Peter Degenfeld-Schonburg;M. Hartmann
通讯作者：
Peter Degenfeld-Schonburg;M. Hartmann