The Rashba Effect on the Bound Polaron in a Parabolic Quantum Dot

The bound polaron ground state energy is calculated by the variational method of Pekar considering the influence of the Rashba SO interaction on the condition of electric?CLO phonon strong coupling in a parabolic quantum dot (QD). The relations on the bound polaron ground state energy with the parallel confinement length, the electron?CLO phonon coupling constant, the perpendicular confinement length and the Coulomb binding parameter are derived for a parabolic quantum dot.     

Rashba Effect on the Bound Polaron in an Asymmetric Quantum Dot

By using LLP variational method, the Rashba effect on the bound polaron in an asymmetric quantum dot is investigated and the expression of the bound polaron ground state energy is derived. Considering different Coulomb bound potentials, we discuss the relations between the ground state energy and the electron–phonon coupling strength, the wave vector, the transverse effective confinement length and the longitudsinal effective confinement length, respectively. The results show that the ground state energy is a decreasing function of the Coulomb bound potential, the electron–phonon coupling strength, the transverse effective confinement length and the longitudinal effective confinement length. On the contrary, it is an increasing function of the wave vector. Due to the Rashba effect, the ground state energy splits into two branches.     

The Properties of the Polaron Ground State in a Parabolic Quantum Dot and Ring

The polaron ground state energy is obtained by using variational method of Pekar type on the condition of electric-LO phonon strong coupling in a quantum dot and ring. The relations of the polaron ground state energy on the inner confinement strength, the outer confinement strength, the inner and outer radius of quantum dot and ring are derived.     

The Ground-State Lifetime of Polaron in Disk-Shape Quantum Dot

The ground-state lifetime of polaron in disk-shape quantum dot (QD) has been investigated by using the variational method of Pekar type. Quantum transition is occurred in the quantum system due to the electron-phonon interaction and the influence of temperature. That is the polaron transit from the ground-state to the first-excited state after absorbing a LO-phonon and it causes the changing of the polaron lifetime. The result shows that the ground-state lifetime increases with the increasing of the ground-state energy and decreases with the increasing of the electron-LO-phonon coupling strength, the temperature and the confinement length. We also see that the influence of the longitudinal confinement length on the lifetime is larger than the transverse confinement length.     

The Effect of Magnetic on the Properties of a Parabolic Quantum Dot Qubit

On the condition of electric-LO phonon strong coupling in a parabolic quantum dot, we obtained the eigen energies and the eigenfunctions of the ground state and the first excited state by 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 obtained the space-time evolution of the electron density. The relations on the cyclotron frequency with the electron probability density and the period of oscillation are derived in a parabolic quantum dot.     

The Polar Optical Phonon Confinement Effect on the Binding Energy of a Hydrogenic Impurity in Quantum Wires Under Applied Electric and Magnetic Fields

The impurity bound polaron in a cylindrical quantum wire with a parabolic confining potential was studied by the variational approach. The polaron effects on the ground-state binding energy in electric and magnetic fields are investigated by means of Pekar-Landau variation technique by taking into account optical phonon confinement within the wire region and localization at its boundaries. It is shown that not only electron confinement, but also polar optical phonon confinement leads to a considerable enhancement of the polaron effect. The results for the binding energy as well as polaronic correction are obtained as a function of the applied fields.     

Effects of Magnetic Field on the Coherence Time of a Parabolic Quantum Dot Qubit

We obtain the eigenenergies and eigenfunctions (EE) of the ground and first excited states of an electron strongly coupled to LO-phonon in a parabolic quantum dot. The effect of an applied magnetic field is considered by using variational method of Pekar type. This system may be regarded as a two-level qubit. Spontaneous phonon emission arouses the qubit’s decoherence. Relations between the coherence time (CT) and the magnetic field, the effective confinement length (ECL) and the polaron radius (PR) are numerically calculated. It is found that the CT is an increasing function of the ECL, whereas it is a decreasing one of the cyclotron frequency and PR. We can extend the CT by changing these parameters in the correlated quantum functional devices.     

Temperature Dependence of Strong-Coupled Polaron in a Triangular Potential Quantum Dot

The effect of temperature on the ground-state energy of polaron was obtained with strong electron-LO-phonon coupling by using a variational method of the Pekar type in triangular potential quantum dot (QD). The ground-state energy was expressed as functions of the confinement length of QD, the coupling strength, the polar angle and the temperature. It is found that the ground-state energy decreases with increasing the confinement length of QD and the electron-phonon coupling strength and increases with enhancing the temperature.     

Optical Absorptions of Impurity-Bound Polaron in a GaAs Quantum Dot with Parabolic Potential

The linear and nonlinear optical properties considering polaron and Coulomb impurity effect in a GaAs parabolic quantum dot are investigated theoretically. Calculations have been performed by using the compact density-matrix approach and the Lee-Low-Pines-Huybrecht variational technique for all electron–LO–phonon coupling strengths. The dependence of the optical absorption coefficients on the incident photon energy, the Coulomb potential and incident optical intensity is also studied.     

Influence of the LO Phonon Effect on the Transition Rate and the Spontaneous Emission Rate in Donor-Center Quantum Dot with Spherical Gaussian Confinement Potential

Based on Lee-Low-Pines transformation, the longitudinal optical (LO) phonon effect in a donor-center quantum dot with a spherical Gaussian confinement potential is studied. The energy expressions of the ground state and the first excited state are derived by using a Pekar-type variational method, and then, a superposition state of the two-level system is constructed. On the basis of Fermi Golden Rule, two kinds of the decoherence of superposition states caused by LO phonon effects are discussed, which are the spontaneous emission of LO phonon and the quantum transition from the ground state to the excited state by absorbing a LO phonon, respectively. The numerical results show that for the former, the superposition state can be suppressed by increasing the electron–phonon coupling constant, the dielectric constant ratio, or the dispersion coefficient. For the latter, it can be used to suppress the decoherence of the superposition state by increasing the dielectric constant ratio or decreasing the electron–phonon coupling constant, or using the low-temperature environment. This work enriches and improves the theoretical scheme to suppress the decoherence of a semiconductor quantum dot qubit caused by LO phonon-related effects.

     

The Temperature Effects on the Parabolic Quantum Dot Qubit in the Electric Field

The temperature effects on the parabolic quantum dot qubit in the electric field have been studied under the condition of electric-LO-phonon strong coupling using the variational method of Pekar type. The numerical results lead us to formulate the derivative relationships of the oscillation period of the electron in the superposition state of the ground state and the first-excited state with the electric field, the electron-LO-phonon coupling constant and the confinement length at different temperatures, respectively.     

Influences of the Temperature on the Parabolic Quantum Dot Qubit in the Magnetic Field

Using the variational method of the Pekar type, we study the influences of the temperature on the parabolic quantum dot qubit in the magnetic field under the condition of electric–LO-phonon strong coupling. Then we derive the numerical results and formulate the derivative relationships of the oscillation period of the electron in the superposition state of the ground state and the first-excited state with the magnetic field, the electron–LO-phonon coupling constant and the confinement length at different temperatures, respectively.     

The Effects of Electric Field on Oscillation Period of Triangular Bound Potential Quantum Dot Qubit

This paper calculates the oscillation period of an electron by using variational method of Pekar type on the condition of electric-LO-phonon strong coupling in a triangular bound potential quantum dot. It obtains the eigenenergies of the ground state and the first excited state, the eigenfunctions of the ground state and the first excited state. This system in a quantum dot may be employed as a two-level quantum system qubit. The superposition state electron density oscillates in the quantum dot with a period when the electron is in the superposition state of the ground and the first-excited state. It studies the influence of the electric field on the period of oscillation at different electron-LO-phonon coupling strength, different polar angle and different confinement length.     

Properties of a Strong Coupling Bipolaron in an Asymmetric Quantum Dot

We study a strong coupling bipolaron’s vibrational frequency, self-trapping energy and potential induced by the electron–longitudinal optical (LO) phonon interaction in an asymmetric quantum dot (AQD). The effects of the electron–phonon coupling strength, the transverse and longitudinal effective confinement lengths are taken into account by using linear combination operator and unitary transformation methods. It is found that the vibrational frequency is an increasing function of the electron–phonon coupling strength, whereas it is a decreasing one of the transverse and longitudinal effective confinement lengths. The absolute values of the self-trapping energy and the potential induced by the electron–LO phonon interaction will increase with increasing coupling strength or decreasing effective confinement lengths.     

Impurity Effect of a Bound Polaron in Quantum Rods

Based on a coordinate transformation, we first change the boundary potential of a quantum rod from the ellipsoidal form into a spherical one. And then the properties of the vibrational frequency and the ground state binding energy of a strongly-coupled impurity bound polaron in it are studied. The effects of the ellipsoid aspect ratio, the electron-phonon coupling strength, the Coulomb bound potential and the transverse and longitudinal effective confinement lengths are taken into consideration by using the linear combination operator method. It is found that the vibrational frequency and the ground state binding energy will increase with increasing Coulomb bound potential and the electron-phonon coupling strength. They are decreasing functions of the ellipsoid aspect ratio and the transverse and longitudinal effective confinement lengths.     

Temperature Effects on the Self-trapping Energy of a Polaron in a GaAs Parabolic Quantum Dot

The temperature and the size dependences of the self-trapping energy of a polaron in a GaAs parabolic quantum dot are investigated by the second order Rayleigh-Schrodinger perturbation method using the framework of the effective mass approximation. The numerical results show that the self-trapping energies of polaron in GaAs parabolic quantum dots shrink with the enhancement of temperature and the size of the quantum dot. The results also indicate that the temperature effect becomes obvious in small quantum dots     

The Effects of Electric Field on a Triangular Bound Potential Quantum Dot Qubit

On the condition of electron-LO-phonon strong coupling in a triangular bound potential quantum dot, we obtain the eigenenergy and eigenfuctions of the ground state and the first-excited state by using the Pekar type of variational method. This two-level system in a quantum dot can be employed as a qubit, which is a basic unit for quantum information operation and storage. Our numerical results indicate that the oscillation period of this qubit is an increasing function of the confinement length and the electric field. The influence of electric field on the period of oscillation becomes greater when the confinement length is increased. The electron probability density of the qubit is an increasing function of the electron-LO-phonon coupling constant. On the contrary, it is a decreasing function of the electric field. Meanwhile, the electron probability density varies periodically with the polar angle.     

纤锌矿GaN/AlxGa1-xN量子阱材料中极化子效应

采用Lee-Low-Pines(LLP)变分法研究纤锌矿量子阱材料中电子-声子相互作用有关问题,给出纤锌矿GaN/AlxGa1-xN和InxGa1-xN/GaN量子阱材料中极化子基态能量和第一激发态到基态的跃迁能量随量子阱宽度和材料组分的变化关系.研究中考虑了纤锌矿量子阱材料中光学声子模各向异性以及声子频率随波矢的变化关系.同时还对运用LLP变分方法计算极化子能量时所采用的几种不同处理方法进行了分析和讨论,并给出相应的数值计算结果.     

Electric Field Effect on State Energies and Transition Frequency of a Strong-Coupling Polaron in an Asymmetric Quantum Dot

We study the ground and the first excited states’ energies and the corresponding transition frequency of a strong-coupling polaron in an asymmetric quantum dot (AQD). The effects of the electric field, the transverse and the longitudinal effective confinement lengths and the electron-phonon coupling strength are taken into account by using a variational method of the Pekar type. It is found that the ground and the first excited states’ energies and the transition frequency are decreasing functions of the electric field. They will increase rapidly with decreasing the transverse and longitudinal effective confinement lengths. The transition frequency is an increasing function of the electron-phonon coupling strength, whereas the energies are decreasing ones of it.     

Direct observation of polarons in electron populated quantum dots by resonant Raman scattering

The general problem of the pairing of strongly interacting elementary excitations producing new quasiparticles such as polarons arises in many areas of solid state physics. Recent interest in polaron formation in semiconductor quantum dots has been motivated by the need to understand the physical nature of the carrier relaxation processes and their role in quantum-dot based devices. We report on the direct observation of polarons in InAs/GaAs self-assembled quantum dots populated by few electrons where the polarons are strongly coupled modes of quantum dot phonons and electron intersublevel transitions. The degree of coupling is varied in a systematic way in a set of samples having electron intersublevel spacing changing from larger to smaller than the longitudinal optical phonon energy. The signature of polarons is evidenced clearly by the observation of a large (12-20 meV) anticrossing for both InAs and GaAs-like quantum dot phonons using resonant Raman spectroscopy.