A theoretical investigation has been made of the magnetoplasmon excitations in a quasi-one-dimensional electron system composed of vertically stacked, self-assembled InAs/GaAs quantum dots. The smaller length scales involved in the experiments impel us to consider a perfectly periodic system of two-dimensionally confined InAs quantum dot layers separated by GaAs spacers. Subsequent system is subjected to a two-dimensional confining (harmonic) potential in the [Formula: see text]–[Formula: see text] plane and an applied magnetic field (B) in the symmetric gauge. This scheme defines virtually a system of quantum wire comprised of vertically stacked quantum dots (VSQD). We derive and discuss the Dyson equation, the generalized (nonlocal and dynamic) dielectric function, and the inverse dielectric function for investigating the single-particle and collective (magnetoplasmon) excitations within the framework of (full) random-phase approximation (RPA). As an application, we study the influence of the confinement potential and the magnetic field on the component eigenfunctions, the density of states (DOS), the Fermi energy, the collective excitations, and the inverse dielectric functions. How the B-dependence of DOS validate the VSQD mimicking the realistic quantum wires, the Fermi energy oscillates as a function of the Bloch vector, the intersubband single-particle continuum bifurcates at the origin, a collective excitation emerges and propagates within the gap of the split single-particle continuum, and the alteration in the well- and barrier-widths allows to customize the excitation spectrum in the desired energy range are some of the remarkable features of this investigation. These findings demonstrate, for the very first time, the significance of investigating the system of VSQD subjected to a quantizing magnetic field. Given the edge over the planar quantum dots and the foreseen applications in the single-electron devices and quantum computation, investigating the system of VSQD is deemed vital. The results suggest exploiting magnetoplasmon qubits to be a potential option for implementing the solemn idea of quantum state transfer in devising quantum gates for the quantum computation and quantum communication networks.

中文翻译：

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由垂直堆叠的量子点组成的量子线中的单粒子和集体激发：有限磁场

已经对由垂直堆叠的自组装 InAs/GaAs 量子点组成的准一维电子系统中的磁等离子体激发进行了理论研究。实验中涉及的较小长度尺度促使我们考虑由 GaAs 间隔物隔开的二维受限 InAs 量子点层的完美周期系统。随后的系统在[公式：见正文]-[公式：见正文]平面中受到二维限制（谐波）势和对称规范中的外加磁场（B）。该方案实际上定义了一个由垂直堆叠的量子点 (VSQD) 组成的量子线系统。我们推导并讨论了戴森方程，广义（非局部和动态）介电函数，以及用于研究（完全）随机相位近似（RPA）框架内的单粒子和集体（磁等离子体）激发的逆介电函数。作为一项应用，我们研究了限制电位和磁场对组件本征函数、态密度 (DOS)、费米能量、集体激发和反介电函数的影响。DOS 的 B 依赖性如何验证模拟真实量子线的 VSQD，费米能量如何作为布洛赫矢量的函数振荡，子带间单粒子连续谱在原点分叉，集体激发出现并在间隙内传播分裂的单粒子连续体，阱和势垒宽度的改变允许在所需的能量范围内定制激发光谱是本研究的一些显着特征。这些发现首次证明了研究受量子化磁场影响的 VSQD 系统的重要性。鉴于平面量子点的优势以及在单电子器件和量子计算中的可预见应用，研究 VSQD 系统被认为是至关重要的。结果表明，在为量子计算和量子通信网络设计量子门时，利用磁等离子体量子比特作为实现量子状态转移这一庄严理念的潜在选择。研究受量子化磁场影响的 VSQD 系统的意义。鉴于平面量子点的优势以及在单电子器件和量子计算中的可预见应用，研究 VSQD 系统被认为是至关重要的。结果表明，在为量子计算和量子通信网络设计量子门时，利用磁等离子体量子比特作为实现量子状态转移这一庄严理念的潜在选择。研究受量子化磁场影响的 VSQD 系统的意义。鉴于平面量子点的优势以及在单电子器件和量子计算中的可预见应用，研究 VSQD 系统被认为是至关重要的。结果表明，在为量子计算和量子通信网络设计量子门时，利用磁等离子体量子比特作为实现量子状态转移这一庄严理念的潜在选择。