利用广义维里定理识别共振态
Identification of Resonant States via the Generalized Virial Theorem
摘要：
开放量子系统共振态的数值提取通常是一个困难的问题。正则化技术，例如映射到复坐标或添加复吸收势，通常被采用，因为它们使共振波函数局部化，因此可归一化。物理相关的亚稳态具有不依赖于所选择的正则化方法的能量。因此，它们的识别涉及多个正则化计算之间的繁琐比较，通常以图形方式执行，这需要微调和特定的直觉，以避免近似，如果不是错误的，结果。在这封信中，我们定义了一个明确测量这种不变性的算子，对任何空间坐标的任意映射都有效。系统的共振状态最终可以简单地识别评估该运营商的期望值。我们的方法简化了共振态的提取，即使是难以缩放到复杂的坐标的数值电位，并避免了需要特设复杂的吸收电位。我们提供了明确的证据，我们的研究结果讨论一维的案例研究，也存在外部电场。
英文摘要：
The numerical extraction of resonant states of open quantum systems is usually a difficult problem. Regularization techniques, such as the mapping to complex coordinates or the addition of Complex Absorbing Potentials are typically employed, as they render resonant wavefunctions localized and therefore normalizable. Physically relevant metastable states have energies that do not depend on the chosen regularization method. Their identification therefore involves cumbersome comparisons between multiple regularised calculations, often performed graphically, which require fine-tuning and specific intuition to avoid approximated, if not wrong, results. In this Letter, we define an operator that explicitly measures such invariance, valid for any arbitrary mapping of spatial coordinates. Resonant states of the system can eventually simply be identified evaluating the expectation value of this operator. Our method eases the extraction of resonant states even for numerical potentials that are difficult to scale to complex coordinates, and avoids the need for ad hoc complex absorbing potentials. We provide explicit evidence of our findings discussing one-dimensional case-studies,also in the presence of external electric fields.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
