中国物理B ›› 2019, Vol. 28 ›› Issue (5): 50301-050301.doi: 10.1088/1674-1056/28/5/050301

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

General way to define tunneling time

Zheng Shu(舒正), Xiaolei Hao(郝小雷), Weidong Li(李卫东), Jing Chen(陈京)   

  1. 1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2 Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
    3 High Energy Density Physics Simulation(HEDPS), Center for Applied Physics and Technology, Peking University, Beijing 100084, China;
    4 Center for Advanced Material Diagnostic Technology, Shenzhen Technology University, Shenzhen 518118, China
  • 收稿日期:2019-01-29 修回日期:2019-02-20 出版日期:2019-05-05 发布日期:2019-05-05
  • 通讯作者: Xiaolei Hao, Jing Chen E-mail:xlhao@sxu.ac.cn;chen_jing@iapcm.ac.cn
  • 基金资助:

    Project supported by the National Key Research and Development Program of China (Grant No. 2016YFA0401100) and the National Natural Science Foundation of China (Grant Nos. 11425414, 11504215, and 11874246).

General way to define tunneling time

Zheng Shu(舒正)1, Xiaolei Hao(郝小雷)2, Weidong Li(李卫东)2, Jing Chen(陈京)1,3,4   

  1. 1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2 Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
    3 High Energy Density Physics Simulation(HEDPS), Center for Applied Physics and Technology, Peking University, Beijing 100084, China;
    4 Center for Advanced Material Diagnostic Technology, Shenzhen Technology University, Shenzhen 518118, China
  • Received:2019-01-29 Revised:2019-02-20 Online:2019-05-05 Published:2019-05-05
  • Contact: Xiaolei Hao, Jing Chen E-mail:xlhao@sxu.ac.cn;chen_jing@iapcm.ac.cn
  • Supported by:

    Project supported by the National Key Research and Development Program of China (Grant No. 2016YFA0401100) and the National Natural Science Foundation of China (Grant Nos. 11425414, 11504215, and 11874246).

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摘要：

With the development of attosecond science, tunneling time can now be measured experimentally with the attoclock technique. However, there are many different theoretical definitions of tunneling time and no consensus has been achieved. Here, we bridge the relationship between different definitions of tunneling time based on a quantum travel time in one-dimensional rectangular barrier tunneling problem. We find that the real quantum travel time tRe is equal to the Bohmian time tBohmian, which is related to the resonance lifetime of a bound state. The total quantum travel time τt can perfectly retrieve the transversal time tx and the Büttiker-Landauer time τBL in two opposite limits, regardless of the particle energy.

关键词: tunneling time, Büttiker-Landauer time, Bohmian time

Abstract:

With the development of attosecond science, tunneling time can now be measured experimentally with the attoclock technique. However, there are many different theoretical definitions of tunneling time and no consensus has been achieved. Here, we bridge the relationship between different definitions of tunneling time based on a quantum travel time in one-dimensional rectangular barrier tunneling problem. We find that the real quantum travel time tRe is equal to the Bohmian time tBohmian, which is related to the resonance lifetime of a bound state. The total quantum travel time τt can perfectly retrieve the transversal time tx and the Büttiker-Landauer time τBL in two opposite limits, regardless of the particle energy.

Key words: tunneling time, Büttiker-Landauer time, Bohmian time

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

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