Temperature Effects of Parabolic Linear Bound Potential and Coulomb Bound Potential Quantum Dot Qubit

On the condition of electric-LO phonon strong coupling in a parabolic quantum dot, we obtain the eigenenergy and the eigenfunctions of the ground state and the first-excited state using the variational method of Pekar type. This system in a quantum dot may be employed as a two-level quantum system-qubit. When the electron is in the superposition state of the ground state and the first-excited state, we obtain the time evolution of the electron density. The relations of the probability density of electron on the temperature and the electron-LO-phonon coupling constant and the relations of the period of oscillation on the temperature, the electron-LO-phonon coupling constant, the Coulomb binding parameter and the confinement length are derived. The results show that the probability density of electron oscillates with a period when the electron is in the superposition state of the ground and the first-excited state, and show that there are different laws that the probability density of electron and the period of oscillation change with the temperature and the electron-LO-phonon coupling constant when the temperature is lower or higher. And it is obtained that the period of oscillation decreases with increasing the Coulomb bound potential and increases with increasing the confinement length not only at lower temperatures but also at higher temperatures.     

Temperature Effects of Parabolic Linear Bound Potential and Coulomb Bound Potential Quantum Dot Qubit

On the condition of electric-LO phonon strong coupling in a parabolic quantum dot, we obtain the eigenenergy and the eigenfunctions of the ground state and the first-excited state using the variational method of Pekar type. This system in a quantum dot may be employed as a two-level quantum system-qubit. When the electron is in the superposition state of the ground state and the first-excited state, we obtain the time evolution of the electron density. The relations of the probability density of electron on the temperature and the electron-LO-phonon coupling constant and the relations of the period of oscillation on the temperature, the electron-LO-phonon coupling constant, the Coulomb binding parameter and the confinement length are derived. The results show that the probability density of electron oscillates with a period when the electron is in the superposition state of the ground and thefirst-excited state, and show that there are different laws that theprobability density of electron and the period of oscillation change with the temperature and the electron-LO-phonon coupling constant when the temperature is lower or higher. And it is obtained that the period of oscillation decreases with increasing the Coulomb bound potential and increases with increasing the confinement length not only at lower temperatures but also at higher temperatures.     

Properties of Unsymmetrical Parabolic Confinement Potential Quantum Dot Qubit

On the condition of electric-LO phonon strong coupling in unsymmetrical parabolic confinement potential quantum dot （QD）, we obtain the eigenenergies of the ground state and the first-excited state, the eigenfunctions of the ground state, and the first-excited state by using variational method of Pekar type. This system in QD may be employed as a two-level quantum system-qubit. When the electron is in the superposition state of the ground state and the first-excited state, we obtain the time evolution of the electron density. The relations both the probability density of electron and the period of oscillation with the electron-LO-phonon coupling strength, the confinement strengths in the xy-plane and the z-direction are discussed.     

Properties of Unsymmetrical Parabolic Confinement Potential Quantum Dot Qubit

On the condition of electric-LO phonon strong coupling in unsymmetrical parabolic confinement potential quantum dot (QD), we obtain the eigenenergies of the ground state and the first-excited state, the eigenfunctions of the ground state, and the first-excited state by using variational method of Pekar type. This system in QD may be employed as a two-level quantum system-qubit. When the electron is in the superposition state of the ground state and the first-excited state, we obtain the time evolution of the electron density. The relations both the probability density of electron and the period of oscillation with the electron-LO-phonon coupling strength, the confinement strengths in the xy-plane and the z-direction are discussed.     

抛物势量子点中强耦合双极化子量子比特的性质

基于LLP幺正变换,采用Pekar型变分法得到了二维量子点中强耦合双极化子的基态和第一激发态的能量和波函数,进而构造了一个双极化子的量子比特。数值结果表明:在量子比特内,两电子的空间几率密度的时间振荡周期T0随电声子耦合强度α、量子点的受限强度ω0以及介质的介电常数比η的增加而减小;在量子比特内,两电子的空间几率密度Q随时间t、角坐标φ2及介电常数比η的变化而作周期性振荡;两电子在量子点中心附近区域出现的几率较大,而在远离量子点中心区域出现的几率很小。     

库仑场对抛物量子点中强耦合极化子性质的影响

采用线性组合算符和幺正变换方法研究了在库仑场束缚下抛物量子点中强耦合束缚极化子的振动频率和基态能量。并对其进行了数值计算,结果表明:强耦合束缚极化子的振动频率和基态能量随量子点的有效受限长度的增加而减小,随电子-LO声子耦合强度的增加而增加,束缚极化子的基态能量随库仑势的增加而减小。     

计及厚度下量子点量子比特的电磁场依赖性

在电子-体纵光学(Longitudinal optical,LO)声子强耦合条件下,采用LLP-Pekar型变分法推导出计及厚度下量子点中极化子的基态和第一激发态能量本征值和本征函数以及平均声子数的电磁场依赖性。在此基础上,以极化子的二能级结构为载体构造了量子点量子比特。数值计算结果表明:量子比特的振荡周期T_0随量子点厚度L的增加而增大,随磁场的回旋频率ωc、电场强度F和电声子耦合强度α的增加而减小。量子比特的概率密度︱Ψ(ρ,z,t)~2︱随电子横向坐标ρ的变化呈现"正态分布"并受到量子盘厚度L和有效半径R_0的强烈影响,随电子纵向坐标z、角坐标φ和时间t作周期性振荡变化。消相干时间τ随磁场的回旋频率ω_c、色散系数η和电子-声子耦合常数α的增加而增大,随电场强度F、量子点厚度L和有效半径R_0的增加而减小。量子点的厚度是量子点量子比特的一个重要参数,理论上可以通过设计不同的量子盘厚度并结合调节外加电磁场的强度,达到调控量子比特振荡周期、消相干时间大小的目的。     

抛物量子点中强耦合束缚磁极化子的性质

采用Pekar类型的变分方法研究了抛物量子点中强耦合束缚磁极化子的基态和激发态的性质.计算了束缚磁极化子的基态和激发态的能量、光学声子平均数以及束缚磁极化子的共振频率.讨论了这些量对回旋频率和有效束缚强度以及库仑束缚势的依赖关系.数值计算结果表明:量子点中强耦合束缚磁极化子的基态能量和共振频率以及光学声子平均数均随量子点的有效束缚强度的增加而减小,基态能量随库仑束缚势的增加而减小,随回旋频率的增加而增大.     

抛物量子点中强耦合束缚极化子的性质

采用Pekar类型的变分方法研究了抛物量子点中强耦合束缚极化子的基态和激发态的性质。计算了束缚极化子的基态和激发态的能量、光学声子平均数。讨论了量子点的有效束缚强度和库仑束缚势对基态能量、激发态能量以及光学声子平均数的影响。数值计算结果表明:量子点中强耦合束缚极化子的基态和激发态能量及光学声子平均数均随量子点的有效束缚强度的增加而减小,基态、激发态能量随库仑束缚势的增加而减小,光学声子平均数随库仑束缚势的增加而增大。     

抛物量子点中弱耦合束缚极化子的性质

研究了抛物量子点中弱耦合束缚极化子的性质。采用线性组合算符和幺正变换方法导出了束缚极化子的振动频率和基态能量。讨论了量子点的有效受限长度、电子-LO声子耦合强度和库仑场对抛物量子点中弱耦合极化子的振动频率和基态能量的影响。数值计算结果表明：弱耦合束缚极化子的振动频率和基态能量随有效受限长度的增加而减小,振动频率随库仑势的增加而增加,基态能量随耦合强度、库仑势的增加而减小。     

有限深势阱下抛物量子线量子比特及其声子效应

采用Peaker变分法,研究了在有限深势阱下抛物量子线量子比特及其声子效应。量子线中这样的二能级体系可作为一个量子比特。当量子线中电子处于基态和第一激发态的叠加态时,电子的概率密度|ψ01(t,x,y,0)|2随着势阱宽度的增加而减小;电子的振荡周期T0随耦合强度α的增大而减小;振荡周期T0随受限长度l0的增加而增加。     

温度对抛物量子点中弱耦合束缚磁极化子的影响

采用线性组合算符和幺正变换方法研究温度对量子点中弱耦合束缚磁极化子性质的影响,导出了弱耦合束缚磁极化子的振动频率、基态能量和声子平均数随温度的变化关系。取CdTe晶体为例进行数值计算,结果表明:弱耦合束缚磁极化子的振动频率、基态能量和声子平均数随温度的升高而增大,基态能量随量子点的受限强度的增强而迅速增大。     

抛物量子点中弱耦合束缚极化子的相互作用能

研究了抛物量子点中弱耦合束缚极化子的性质,采用改进的线性组合算符和幺正变换方法导出了束缚极化子的振动频率、有效质量和相互作用能。讨论了量子点的有效受限长度、电子LO声子耦合强度和库仑场对抛物量子点中弱耦合极化子的振动频率、有效质量和相互作用能的影响。数值计算结果表明:弱耦合束缚极化子的振动频率和相互作用能随有效受限长度的减少而急剧增大,振动频率随库仑势以及电子LO声子耦合强度的增加而增加,而相互作用能随库仑势以及电子LO声子耦合强度的增加而减小。有效质量仅与电子LO声子耦合强度有关。     

磁场和库仑场对抛物量子点中弱耦合极化子激发态性质的影响

采用线性组合算符和幺正变换方法研究了磁场和库仑场对抛物量子点中极化子激发态性质的影响。导出了抛物量子点中弱耦合束缚磁极化子的振动频率、第一内部激发态能量、激发能量与量子点的有效受限长度、库仑束缚势和磁场的回旋频率之间的变化关系。通过数值计算,结果表明:抛物量子点中弱耦合束缚极化子的振动频率、第一内部激发态能量、激发能量均随量子点的有效受限长度减小而迅速增大。随库仑束缚势增大而增大。随磁场的回旋频率的增加而增大。     

库仑场对量子点中强耦合束缚极化子激发态性质的影响

采用线性组合算符和幺正变换方法研究量子点中强耦合束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率的性质。讨论了这些量随量子点的有效受限长度、电子-声子耦合强度和库仑束缚势的变化关系。通过数值计算结果表明:量子点中强耦合束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率随量子点的有效受限长度的减小而迅速增大,随库仑束缚势和电子-声子的耦合强度的增加而增大。     

抛物线性限制势量子点量子比特及其光学声子效应

在抛物量子点中电子与体纵光学声子强耦合的条件下,应用Peaker变分方法得出了电子的基态和第一激发态的本征能量及基态和第一激发态本征波函数.量子点中这样的二能级体系可作为一个量子比特.当电子处于基态和第一激发态的叠加态时,计算出电子在空间的概率分布作周期性振荡.并且得出了振荡周期随受限长度及耦合强度的变化关系. 关键词： 量子点 量子信息 量子比特     

Quantum Information Transfer from a Double Quantum Dot System to a Cavity Field＊

In this paper, we propose a scheme to realize quantum information transfer from a double quantum dot （DQD） system to a quantized cavity field. The DQD and the cavity field are treated as a two-state charge qubit and a continuous-variable system, respectively. It is shown that quantum information encoded in the two-state DQD system can be transferred to quantum states of the cavity field with a continuous-variable basis through appropriate projective measurements with respect to the DQD.     

Negative Trions Trapped by a Spherical Parabolic Quantum Dot

In this paper, a negatively charged exciton trapped by a spherical parabolic quantum dot has been investigated. The energy spectra of low-lying states are calculated by means of matrix diagonalization. The important feature of the low-lying states of the negatively charged excitons in a spherical quantum dot is obtained via an analysis of the energy spectra.     

非对称量子点中弱耦合束缚极化子的性质

采用线性组合算符和幺正变换方法研究了非对称量子点中弱耦合束缚极化子的性质。导出了非对称量子点中弱耦合束缚极化子的振动频率和基态能量随量子点的横向和纵向有效受限长度,库仑束缚势和电子-声子耦合强度的变化关系。通过数值计算,结果表明:非对称量子点中弱耦合束缚极化子的振动频率和基态能量随量子点的横向和纵向有效受限长度的减小而迅速增大。     

抛物量子点中强耦合束缚极化子的光学声子平均数

采用线性组合算符和幺正变换方法研究了在库仑场束缚下抛物量子点中强耦合束缚极化子的振动频率和光学声子平均数,并对其进行了数值计算。结果表明:强耦合束缚极化子的振动频率和光学声子平均数随量子点的有效受限长度的增加而减小,随电子-LO声子耦合强度的增强而增加,束缚极化子的振动频率随库仑势的增加而减小。