Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations,International Journal of Quantum Chemistry

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Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-08-31 , DOI: 10.1002/qua.26422
Sukhamoy Bhattacharyya ₁ , Prasanta K. Mukherjee _{1,

2} , Burkhard Fricke ₃

Affiliation

Pilot calculations on the frequency‐dependent nonlinear response property, viz. the electric dipole hyperpolarizability of atomic hydrogen under quantum plasma environment, have been performed using an external oscillatory electric field. Fourth‐order perturbation theory within a variational scheme is adopted to obtain the hyperpolarizability within and beyond normal dispersion region. Two‐photon absorption from the ground state is explicitly obtained from the pole positions of nonlinear response of the system and studied up to principal quantum number n = 4. Ground and perturbed wave functions of appropriate symmetries are represented by linear combination of Slater‐type orbitals. Exponential cosine‐screened Coulomb potential is used to simulate the quantum plasma environment. With respect to plasma strength, the nonlinear response properties are considerably enhanced. Results are compared with those under classical plasma environment represented by screened Coulomb potential. Departure from Coulomb potential results in lifting of the accidental degeneracy in the respective two‐photon excited states beyond n = 2. For free hydrogen atom, the transition energies and the radial density profiles of the respective two‐photon excited states match exactly with those obtained from analytical wave functions.

中文翻译：

量子等离子体环境下原子氢的非线性响应特性：超极化率和双光子激发的时变扰动研究

随频率变化的非线性响应特性的试点计算，即。在量子等离子体环境下，原子氢的电偶极超极化性已经使用外部振荡电场进行了。采用变分方案中的四阶摄动理论来获得正常色散区内外的超极化性。从系统的非线性响应的极点位置明确获得了基态的双光子吸收，并研究了主量子数n = 4。适当对称的地波和摄动波函数由斯莱特型轨道的线性组合表示。余弦筛选的指数库仑电势用于模拟量子等离子体环境。关于等离子体强度，非线性响应特性大大增强。将结果与筛选的库仑电势代表的经典等离子体环境下的结果进行比较。离开库仑势会导致相应的双光子激发态中的偶然简并性提高到n = 2以上。对于自由氢原子，相应的两个光子激发态的跃迁能和径向密度分布与从解析波函数获得的跃迁能量和径向密度分布完全匹配。

更新日期：2020-08-31

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