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

Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
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平行电场和磁场中的里德伯系统:一种寻找异常点的改进方法

DOI:
10.1088/0953-4075/49/14/144002
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发表时间:
2016
期刊:
Journal of Physics B: Atomic, Molecular and Optical Physics
影响因子:
--
通讯作者:
Günter Wunner
Günter Wunner
中科院分区:
--
文献类型:
--
作者:
Matthias Feldmaier;J. Main;Frank Schweiner;H. Cartarius;Günter Wunner

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例外点是开放量子系统谱中的特殊参数点,在此点上共振能量退化,相关的本征向量合并。典型的例子是在平行的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。从避免交叉的参数依赖的光谱和使用二维矩阵模型,我们开发了一个迭代算法来计算的场强和共振能量的例外点,并验证其基本属性。此外,我们能够可视化简并态的波函数。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。然而,平行电场和磁场中的氧化亚铜中的激子,即,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。
Exceptional points are special parameter points in spectra of open quantum systems, at which resonance energies become 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.
DOI: 10.1103/physrevlett.112.203901
发表时间: 2014-05-20
影响因子: 8.6
作者:
Wiersig, Jan
通讯作者: Wiersig, Jan
DOI: 10.1038/nature13832
发表时间: 2014-10-16
期刊: NATURE
影响因子: 64.8
作者:
Kazimierczuk, T.;Froehlich, D.;Bayer, M.
通讯作者: Bayer, M.