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Ying Zhang,Chao Han,Eerdunchaolu,Sudu 한국물리학회 2016 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.69 No.8
The influence of the Rashba spin-orbit interaction (SOI) and longitudinal optical (LO) phonon effect on the ground-state properties of the Fr¨ohlich bipolaron in a quantum dot are studied using the Tokuda-modified linear-combination operator method based on the Lee-Low-Pines unitary transformation. The results indicate that, under the condition of strong electron-phonon coupling (coupling strength > 6), Eint < 0, the electron-phonon coupling body in quantum dot is mainly the bipolaron which is in a stably bound state. The bipolaron interaction energy Eint increases with increasing confinement strength of the quantum dot !0, electron-phonon coupling strength , and polaron velocity u and decreases with increasing Coulomb confinement potential and Rashba spinobit coupling strength R. In the bipolaron interaction energy Eint, the electron-phonon coupling energy Ee−ph plays the leading role, followed by the confinement potential energy of the quantum dot Ecoul and the Coulomb interaction energy between two electrons Ecouf . Though the additional energy ER−ph caused by the phonon effect accounts for a smaller percentage than the previous three, the electron-phonon coupling and the Rashba spin-obit coupling influence and infiltrate each other. Therefore, the influences of the bipolaron effect and the Rashba electron-spin interaction cannot be ignored when studying a quantum dot.
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Xu-Fang Bai,Wei Xin,Hong-Wu Yin,Eerdunchaolu 한국물리학회 2017 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.70 No.11
The electromagnetic-field dependence of the ground and the first excited-state (GFES) energy eigenvalues and eigenfunctions of the strong-coupling polaron in a quantum dot (QD) was studied for various QD thicknesses by using the variational method of the Pekar type (VMPT). On this basis, we construct a qubit in the quantum dot (QQD) by taking a two-level structure of the polaron as the carrier. The results of numerical calculations indicate that the oscillation period of the qubit, T0, increases with increasing the thickness of the quantum dot (TQD) L, but decreases with increasing the cyclotron frequency of the magnetic field (CFMF) !c, electric-field strength F, and electron-phonon coupling strength (EPCS) . The probability density of the qubit | (, z, t)|2 presents a normal distribution of the electronic transverse coordinate , significantly influenced by the TQD and effective radius of the quantum dot (ERQD) R0, and shows a periodic oscillation with variations in the electronic longitudinal coordinate z, polar angle and time t. The decoherence time and the quality factor Q of the free rotation increase with increasing the CFMF !c, dispersion coefficient , and EPCS , but decrease with increasing the electric-field strength F, TQD L, and ERQD R0. The TQD is an important parameter of the qubit. Theoretically, the target, which is to regulate the oscillation period, decoherence time and quality factor of the free rotation of the qubit, can be achieved by designing different TQDs and regulating the strength of the electromagnetic field.
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