Acta Phys. -Chim. Sin. ›› 2004, Vol. 20 ›› Issue (08S): 1037-1044.doi: 10.3866/PKU.WHXB200408zk22

• Review • Previous Articles     Next Articles

Dynamical Localization of Two-level Systems

Li Yu-Hui;Yan Yun-An;Shao Jiu-Shu   

  1. State Key Laboratory of Molecular Reaction Dynamics, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100080
  • Received:2004-01-12 Revised:2004-04-15 Published:2004-08-15
  • Contact: Shao Jiu-Shu

Abstract: This paper reviews our work on dynamical localization of the two-level system (TLS). By mapping the quantum dynamics of a driven TLS to the classical one of a particle experiencing a two-dimensional harmonic force as well as a periodic magnetic field, deep insights into the mechanism of localization have been gained. Using this scheme we are able to obtain the condition for localization of a TLS subject to the linearly polarized field. The localization induced by δ-function pulses and circularly polarized fields has been analytically investigated. It is found that the circularly-polarized-field induced localization can be fully described by the geometry of an ellipse within a unit circle on a complex plane.

Key words: Two-level system, Tunneling, Localization, Linearly polarized field,  Circularly polarized field