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河北科技师范学院 物理系,河北 秦皇岛,066004
纸质出版日期:2016-2-10,
收稿日期:2015-10-19,
修回日期:2015-11-9,
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额尔敦朝鲁, 韩超, 张颖. 抛物势量子点中强耦合双极化子量子比特的性质[J]. 发光学报, 2016,37(2): 144-150
Eerdunchaolu, HAN Chao, ZHANG Ying. Properties of Strong-coupling Bipolaron Qubit in Parabolic Potential Quantum Dot[J]. Chinese Journal of Luminescence, 2016,37(2): 144-150
额尔敦朝鲁, 韩超, 张颖. 抛物势量子点中强耦合双极化子量子比特的性质[J]. 发光学报, 2016,37(2): 144-150 DOI: 10.3788/fgxb20163702.0144.
Eerdunchaolu, HAN Chao, ZHANG Ying. Properties of Strong-coupling Bipolaron Qubit in Parabolic Potential Quantum Dot[J]. Chinese Journal of Luminescence, 2016,37(2): 144-150 DOI: 10.3788/fgxb20163702.0144.
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
T
0
随电声子耦合强度
、量子点的受限强度
0
以及介质的介电常数比
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
2
及介电常数比
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。
On the basis of Lee-Low-Pines (LLP) unitary transformation
the eigenenergy and eigenfunction of the ground-state and the first excited state of the strong-coupling bipolaron in two-dimensional quantum dot (QD) were obtained by using the variational method of Pekar type. A qubit was formed by overlaying both the ground state and the first excited state of the bipolaron system. Numerical calculations indicate that the oscillating period
T
0
of qubits decreases with the increasing the electron-phonon coupling strength
the confinement strength
0
of the quantum dot
and the dielectric constant ratio
; the distribution of the probability density
Q
of the electrons in quantum dot oscillates periodically with time
t
angle coordinate
2
and the dielectric constant ratio
and there is a maximum at near the center and zero away from the center of quantum dot.
量子点双极化子量子比特Lee-Low-Pines-Pekar变分法
quantum dotbipolaronqubitLee-Low-Pines-Pekar variational method
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