Current study inquires the time-dependent quantum adiabatic switching (TDQAS) among the quantum dot (QD) eigenstates under the aegis of Gaussian white noise (GWN) with special emphasis on anharmonicity that may be present in the QD potential. The initial and the final eigenstates are distinguished by different values of magnetic field strength, confinement potential, anisotropy, and anharmonicity. The QAS has been conducted using four different switching functions (SFs), e.g., square, exponential, sinusoidal, and logarithmic. The time development of switching has been monitored with the help of overlap function and quantum information entropy (QIE). The SFs appear to recover the eigenstates of QD corresponding to the final Hamiltonian. The switching paths comprise features such as enhancement, depletion, maximization, minimization, and crossover of the overlap function and entropy. These characteristics of switching paths depend on presence/absence of noise, its pathway of application (additive/multiplicative), and symmetry (odd/even) of the anharmonic potential. The dependence on the type of SF used, however, has been found to be not much significant unless the exclusive role of noise strength on switching path is observed. The study merits importance in view of immense technological applications of QD-based systems where the noise-anharmonicity interplay may be exploited to a great extent.

中文翻译：

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量子点本征态之间的绝热切换：非谐性和高斯白噪声的作用

当前的研究在高斯白噪声 (GWN) 的支持下询问量子点 (QD) 本征态之间的时间相关量子绝热切换 (TDQAS)，特别强调可能存在于 QD 电位中的非谐性。初始和最终本征态通过不同的磁场强度、约束势、各向异性和非谐性值来区分。QAS 已使用四种不同的开关函数 (SF) 进行，例如平方、指数、正弦和对数。在重叠函数和量子信息熵 (QIE) 的帮助下，已经监测了切换的时间发展。SF 似乎恢复了对应于最终哈密顿量的 QD 的本征态。切换路径包括诸如增强、耗尽、最大化、最小化、以及重叠函数和熵的交叉。开关路径的这些特性取决于噪声的存在/不存在、其应用路径（加法/乘法）和非谐波电位的对称性（奇数/偶数）。然而，除非观察到噪声强度对开关路径的唯一作用，否则对所使用的 SF 类型的依赖性并不重要。考虑到基于 QD 的系统的巨大技术应用，该研究具有重要意义，其中噪声-非谐相互作用可以在很大程度上得到利用。除非观察到噪声强度对开关路径的唯一作用，否则已经发现它没有多大意义。考虑到基于 QD 的系统的巨大技术应用，该研究具有重要意义，其中噪声-非谐相互作用可以在很大程度上得到利用。除非观察到噪声强度对开关路径的唯一作用，否则已经发现它没有多大意义。考虑到基于 QD 的系统的巨大技术应用，该研究具有重要意义，其中噪声-非谐相互作用可以在很大程度上得到利用。