中国物理B ›› 2012, Vol. 21 ›› Issue (5): 57108-057108.doi: 10.1088/1674-1056/21/5/057108

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

The optical phonon effect of quantum rod qubits

王翠桃,吴志永,赵翠兰,丁朝华,肖景林   

  1. College of Physics and Electronic Information, Inner Mongolia National University, Tongliao 028043, China
  • 收稿日期:2011-08-09 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10964005).

The optical phonon effect of quantum rod qubits

Wang Cui-Tao(王翠桃), Wu Zhi-Yong(吴志永), Zhao Cui-Lan(赵翠兰), Ding Zhao-Hua(丁朝华), and Xiao Jing-Lin(肖景林)†   

  1. College of Physics and Electronic Information, Inner Mongolia National University, Tongliao 028043, China
  • Received:2011-08-09 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10964005).

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摘要： The Hamiltonian of a quantum rod with an ellipsoidal boundary is given by using a coordinate transformation in which the ellipsoidal boundary is changed into a spherical one. Under the condition of strong electron--longitudinal optical phonon coupling in the rod, we obtain both the electron eigenfunctions and the eigenenergies of the ground and first-excited state by using the Pekar-type variational method. This quantum rod system may be used as a two-level qubit. When the electron is in the superposition state of the ground and first-excited states, the probability density of the electron oscillates in the rod with a certain period. It is found that the oscillation period is an increasing function of the ellipsoid aspect ratio and the transverse and longitudinal effective confinement lengths of the quantum rod, whereas it is a decreasing function of the electron--phonon coupling strength.

关键词: quantum rod, qubit, probability density, oscillation period

Abstract: The Hamiltonian of a quantum rod with an ellipsoidal boundary is given by using a coordinate transformation in which the ellipsoidal boundary is changed into a spherical one. Under the condition of strong electron--longitudinal optical phonon coupling in the rod, we obtain both the electron eigenfunctions and the eigenenergies of the ground and first-excited state by using the Pekar-type variational method. This quantum rod system may be used as a two-level qubit. When the electron is in the superposition state of the ground and first-excited states, the probability density of the electron oscillates in the rod with a certain period. It is found that the oscillation period is an increasing function of the ellipsoid aspect ratio and the transverse and longitudinal effective confinement lengths of the quantum rod, whereas it is a decreasing function of the electron--phonon coupling strength.

Key words: quantum rod, qubit, probability density, oscillation period

中图分类号:  (Polarons and electron-phonon interactions)

  • 71.38.-k
63.20.kd (Phonon-electron interactions) 63.22.-m (Phonons or vibrational states in low-dimensional structures and nanoscale materials)