Quantum Transition of Two-Level System in a Parabolic Quantum Dot

Abstract

The time evolution of the quantum mechanical state of an electron is calculated by using variational method of Pekar type on the condition of electric-LO phonon strong coupling in a parabolic quantum dot. We obtained the eigen energies of the ground state and the first-excited state, the eigen functions 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 supposition electron is in system's ground state in the initial time, the electron transit from the ground state to the excited state in presence of an electric field F along the x axis. The results indicate that the electron transition probability and the oscillation period increase with decreasing the electron-LO-phonon coupling constant, increasing the electric field and the confinement length.

Orbital and Spin Dynamics of Electron’s States Transition in Hydrogen Atom Driven by Electric Field

“…The multiple-level system has widely applications in different scientific fields, such as the atomic clock, information storage, and quantum computing, and so on [1][2][3][4][5]. Quantum transitions in multiple-level states have been studied in different systems with some studies focusing on the excitation resources and the theoretical methods [6][7][8][9][10][11][12][13][14][15].…”

Optical rectification and third harmonic generation of spherical quantum dots: Controlling via external factors

“…Enhanced linear and nonlinear optical properties due to the large transition dipole matrix elements and their tunability via external factors and dimensions are the potentials of QDs for a wide range of device applications [17][18][19][20][21][22][23]. Among the nonlinear optical properties, more and more attention had been paid to the optical absorbtion coefficient (AC) and refractive index (RI) [24][25][26][27][28][29], second-order nonlinear optical properties [30,31], such as optical rectification (OR) [32], second-harmonic generation (SHG) [33,34], electro-optic effect (EOE) [35] and less to the thirdharmonic generation (THG) [36].…”