中国物理B ›› 2010, Vol. 19 ›› Issue (3): 33201-033201.doi: 10.1088/1674-1056/19/3/033201

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Effect of Landau-Zener tunneling by the varying sweeping rate of external field

王锦宝, 童国平, 李盛   

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2009-01-15 修回日期:2009-04-09 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 20804039) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y4080300).

Effect of Landau-Zener tunneling by the varying sweeping rate of external field

Wang Jin-Bao(王锦宝), Tong Guo-Ping(童国平), and Li Sheng(李盛)   

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
  • Received:2009-01-15 Revised:2009-04-09 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 20804039) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y4080300).

摘要: We study the effect of Landau--Zener (LZ) tunneling caused by the varying sweeping rate of the external field, and solve the problem about the LZ tunneling rate among many levels. The LZ tunneling rate is essentially changed by the unsteady variation of the time-dependent sweeping field and is different from the steadily varying sweeping field, which makes the particles in lower states transit periodically to upper states within a finite time.

Abstract: We study the effect of Landau--Zener (LZ) tunneling caused by the varying sweeping rate of the external field, and solve the problem about the LZ tunneling rate among many levels. The LZ tunneling rate is essentially changed by the unsteady variation of the time-dependent sweeping field and is different from the steadily varying sweeping field, which makes the particles in lower states transit periodically to upper states within a finite time.

Key words: Landau--Zener tunneling, varying sweeping rate, transition probability, n-level state

中图分类号:  (Tunneling, traversal time, quantum Zeno dynamics)

  • 03.65.Xp
03.65.Ge (Solutions of wave equations: bound states)