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内蒙古民族大学, 物理与电子信息学院,内蒙古 通辽,028043
Published:20 March 2008,
Received:25 August 2007,
Revised:24 November 2007,
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任保友, 高宽云, 赵翠兰. 量子环中量子比特内的电子概率密度分布[J]. 发光学报, 2008,29(2): 248-252
REN Bao-you, GAO Kuan-yun, ZHAO Cui-lan. Probability Density Distribution of Electron in Quantum Bit of Quantum Ring[J]. Chinese Journal of Luminescence, 2008,29(2): 248-252
通过较精确地求解能量本征方程获得量子环中量子比特内的电子概率密度分布。对InAs量子环的数值计算表明:电子概率密度分布与电子的坐标(半径、高度
角度)及时间有关。当其中三个变量给定时
电子概率密度随另一个变量的变化规律分别为:随半径的增大做非周期性振荡;随高度的变化而变化
在半高处出现的概率最大;随角度作周期变化
在角度等于π处出现的概率最大;随时间作周期性振荡。
Quantum computing combines computer science with quantum mechanics and is a fast growing research field. In recent years
the outlines of all kinds of achieving quantum computation were devised. In 1999
the suggestion of superconductive electronic charge was designed by Nakamura in Japan
a nanometer-scale superconducting electrode connected to a reservoir via a Josephson junction constitutes an artificial two-level electronic system:a single-Cooper-pair box. In 2001
the plan of geometrical quantum computation was framed by Duan L M
et al
.
the elementary unit of quantum computer is the quantum bit(quanbit). In 2002
based on an idea that spatial separation of charge states will enhance quantum coherence
Li X Q
et al
. propose a scheme for a quantum computation with the quantum bit constructed from two coupled quantum dots. In 2003
based on the analytical solution to the time-dependent Schdinger equation
Cen L X
et al
. evaluate the holonomic quantum computation beyond the adiabatic limit. Low dimensional nanostructures has attracted much attention due to their unique electronic and optical properties as well as potential applications in making electronic and optoelectronic devices. Quantum rings (QRs) stand as an alternative to quantum dots(QDs) as zero-dimensional structures. QRs were extensively applied in optoelectronics
microelectronics and quantum communication because its characteristic electronic shell structure
magnetic field response and transport properties. The potential power of quantum ring is based on the ability of quantum systems to be in a superposition of its basic states. Probability density distribution of electron in quantum bit of quantum ring was studied by solving precisely the time-independent Schr-dinger equation. The numerical calculation for InAs quantum rings was carried
the material parameters are μ=0.024m0
m0 is mass of free electron
the inner/outer radius of quantum rings is 20/40 nm. The numerical results indicate that probability density distribution of electron has something to do with coordinate and time. When time t
angle φ and height z are given
it does non-periodicity oscillates with increasing radius ρ. When time
angle and radius are given
it increasing firstly and falling secondly with increasing height and achieves maximum if
z
=
h
/2. When time
height and radius are given
it raises firstly and declines with increasing angle and achieves maximum if φ=π. And probability density distribution of electron in quantum bit of quantum ring does periodicity oscillating with time.
量子环量子比特薛定谔方程
quantum ringquantum bitSchr-dinger equation
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