The ground-state and lowest excited-state binding energies of a hydrogenic impurity in GaAs parabolicquantum-well wires(QWWs)subjected to external electric and magnetic Gelds are investigated using the finite-differen...The ground-state and lowest excited-state binding energies of a hydrogenic impurity in GaAs parabolicquantum-well wires(QWWs)subjected to external electric and magnetic Gelds are investigated using the finite-differencemethod within the quasi-one-dimensional effective potential model.We define an effective radius ρ_(eff)of a cylindricalQWW,which can describe the strength of the lateral confinement.For the ground state,the position of the largestprobability density of electron in x-y plane is located at a point,while for the lowest excited state,is located on acircularity whose radius is ρ_(eff).The point and circularity are pushed along the left half of the center axis of thequantum-well wire by the electric field dire ted along the right half.When an impurity is located at the point or withinthe circularity,the ground-state or lowest excited-state binding energies are the largest;when the impurity is apart fromthe point or circularity,the ground-state or lowest excited-state binding energies start to decrease.展开更多
We report a theoretical scheme using a B-spline basis set to improve the poor computational accuracy ofcircular Rydberg states of hydrogen atoms in the intermediate magnetic Geld.This scheme can produce high accuracye...We report a theoretical scheme using a B-spline basis set to improve the poor computational accuracy ofcircular Rydberg states of hydrogen atoms in the intermediate magnetic Geld.This scheme can produce high accuracyenergy levels and valid for an arbitrary magnetic field.Energy levels of hydrogen are presented for circular Rydbergstates with azimuthal quantum numbers \m\ = 10-70 as a function of magnetic field strengths ranging from zero to2.35 x 109 T.The variation of spatial distributions of electron probability densities with magnetic field strengths isdiscussed and competition between Coulomb and magnetic interactions is illustrated.展开更多
Under the influence of an applied magnetic field(MF), the eigenenergies and the eigenfunctions of the ground and the first excited states(GFES) are obtained by using a variational method of the Pekar type(VMPT) in a s...Under the influence of an applied magnetic field(MF), the eigenenergies and the eigenfunctions of the ground and the first excited states(GFES) are obtained by using a variational method of the Pekar type(VMPT) in a strong electron-LO-phonon coupling asymmetrical Gaussian potential quantum well(AGPQW). This AGPQW system may be employed as a two-level qubit. The numerical results have indicated(i) that when the electron situates in the superposition state of the GFES, we obtain the time evolution and the coordinate change of the electron probability density in the AGPQW,(ii) that due to the presence of the asymmetrical potential in the growth direction of the AGPQW, the probability density shows double-peak configuration, whereas there is only one peak if the confinement is a two dimensional symmetric one in the xy plane of the AGPQW,(iii) that the oscillatory period is a decreasing function of the cyclotron frequency of the MF, the height of the AGPQW and the polaron radius,(iv) and that as the range of the confinement potential(RCP) decreases the oscillatory period will decrease firstly and then increase and it will take a minimum when R =-0.234 nm.展开更多
Based on Lee-Low-Pines(LLP) unitary transformation, this article adopts the variational method of the Pekar type and gets the energy and wave functions of the ground state and the first excited state of strong-couplin...Based on Lee-Low-Pines(LLP) unitary transformation, this article adopts the variational method of the Pekar type and gets the energy and wave functions of the ground state and the first excited state of strong-coupling bipolaron in two-dimensional quantum dot in electric field, thus constructs a bipolaron qubit. The numerical results represent that the time oscillation period T0 of probability density of the two electrons in qubit decreases with the increasing electric field intensity F and dielectric constant ratio of the medium η; the probability density Q of the two electrons in qubit oscillates periodically with the increasing time t; the probability of electron appearing near the center of the quantum dot is larger, while that appearing away from the center of the quantum dot is much smaller.展开更多
文摘The ground-state and lowest excited-state binding energies of a hydrogenic impurity in GaAs parabolicquantum-well wires(QWWs)subjected to external electric and magnetic Gelds are investigated using the finite-differencemethod within the quasi-one-dimensional effective potential model.We define an effective radius ρ_(eff)of a cylindricalQWW,which can describe the strength of the lateral confinement.For the ground state,the position of the largestprobability density of electron in x-y plane is located at a point,while for the lowest excited state,is located on acircularity whose radius is ρ_(eff).The point and circularity are pushed along the left half of the center axis of thequantum-well wire by the electric field dire ted along the right half.When an impurity is located at the point or withinthe circularity,the ground-state or lowest excited-state binding energies are the largest;when the impurity is apart fromthe point or circularity,the ground-state or lowest excited-state binding energies start to decrease.
基金Support from National Science Foundation of USA under Grant No. 0630370National Natural Science Foundation of China under Grant Nos. 90403028 and 11074260
文摘We report a theoretical scheme using a B-spline basis set to improve the poor computational accuracy ofcircular Rydberg states of hydrogen atoms in the intermediate magnetic Geld.This scheme can produce high accuracyenergy levels and valid for an arbitrary magnetic field.Energy levels of hydrogen are presented for circular Rydbergstates with azimuthal quantum numbers \m\ = 10-70 as a function of magnetic field strengths ranging from zero to2.35 x 109 T.The variation of spatial distributions of electron probability densities with magnetic field strengths isdiscussed and competition between Coulomb and magnetic interactions is illustrated.
基金Supported by the National Science Foundation of China under Grant No.11464034
文摘Under the influence of an applied magnetic field(MF), the eigenenergies and the eigenfunctions of the ground and the first excited states(GFES) are obtained by using a variational method of the Pekar type(VMPT) in a strong electron-LO-phonon coupling asymmetrical Gaussian potential quantum well(AGPQW). This AGPQW system may be employed as a two-level qubit. The numerical results have indicated(i) that when the electron situates in the superposition state of the GFES, we obtain the time evolution and the coordinate change of the electron probability density in the AGPQW,(ii) that due to the presence of the asymmetrical potential in the growth direction of the AGPQW, the probability density shows double-peak configuration, whereas there is only one peak if the confinement is a two dimensional symmetric one in the xy plane of the AGPQW,(iii) that the oscillatory period is a decreasing function of the cyclotron frequency of the MF, the height of the AGPQW and the polaron radius,(iv) and that as the range of the confinement potential(RCP) decreases the oscillatory period will decrease firstly and then increase and it will take a minimum when R =-0.234 nm.
基金supported by the Natural Science Foundation of Hebei Province(No.E2013407119)the Items of Institution of Higher Education Scientific Research of Hebei Province(Nos.ZD20131008 and Z2015149)
文摘Based on Lee-Low-Pines(LLP) unitary transformation, this article adopts the variational method of the Pekar type and gets the energy and wave functions of the ground state and the first excited state of strong-coupling bipolaron in two-dimensional quantum dot in electric field, thus constructs a bipolaron qubit. The numerical results represent that the time oscillation period T0 of probability density of the two electrons in qubit decreases with the increasing electric field intensity F and dielectric constant ratio of the medium η; the probability density Q of the two electrons in qubit oscillates periodically with the increasing time t; the probability of electron appearing near the center of the quantum dot is larger, while that appearing away from the center of the quantum dot is much smaller.
