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arXiv 1602.00909quant-phcond-mat.mes-hallnlin.CDphysics.atom-ph
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平行电场和磁场中的Rydberg系统:寻找例外点的改进方法

Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points

Matthias Feldmaier, Jörg Main, Frank Schweiner, Holger Cartarius, Günter Wunner

摘要:

例外点是开放量子系统谱中的特殊参数点,在此点上共振能量发生简并,相关的本征向量发生合并。典型的例子是在平行电场和磁场中的里德伯系统,我们在一个完整的基础上求解薛定谔方程来计算共振和本征向量。从避免参数依赖谱中的交叉点出发,利用二维矩阵模型,我们发展了一种迭代算法来计算例外点的场强和共振能量,并验证了它们的基本性质。此外,我们能够可视化的波函数的简并状态。我们报告存在各种例外点。对于氢原子来说,这些点是在实验上无法达到的场强范围内。而在平行电场和磁场中,氧化亚铜中的激子,即.例如,固态体中相应的氢类似物提供了一个合适的系统,其中在小得多的外场下可以达到高场区,并且为此我们提出了一个检测异常点的实验。

英文摘要:

Exceptional points are special parameter points in spectra of open quantum systems, at which resonance energies degenerate and the associated eigenvectors coalesce. Typical examples are Rydberg systems in parallel electric and magnetic fields, for which we solve the Schrödinger equation in a complete basis to calculate the resonances and eigenvectors. Starting from an avoided crossing within the parameter-dependent spectra and using a two-dimensional matrix model, we develop an iterative algorithm to calculate the field strengths and resonance energies of exceptional points and to verify their basic properties. Additionally, we are able to visualise the wave functions of the degenerate states. We report the existence of various exceptional points. For the hydrogen atom these points are in an experimentally inaccessible regime of field strengths. However, excitons in cuprous oxide in parallel electric and magnetic fields, i. e., the corresponding hydrogen analogue in a solid state body, provide a suitable system, where the high-field regime can be reached at much smaller external fields and for which we propose an experiment to detect exceptional points.

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。

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