中国物理B ›› 2018, Vol. 27 ›› Issue (10): 105203-105203.doi: 10.1088/1674-1056/27/10/105203

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

Tunneling dynamics of bosons in the diamond lattice chain

Na-Na Chang(常娜娜), Ju-Kui Xue(薛具奎)   

  1. College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2018-06-27 修回日期:2018-08-02 出版日期:2018-10-05 发布日期:2018-10-05
  • 通讯作者: Ju-Kui Xue E-mail:xuejk@nwnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11475027, 11865014, 11865014, 11274255, and 11305132), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of the Higher Education of Gansu Province, China (Grant No. 2016A-005).

Tunneling dynamics of bosons in the diamond lattice chain

Na-Na Chang(常娜娜), Ju-Kui Xue(薛具奎)   

  1. College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2018-06-27 Revised:2018-08-02 Online:2018-10-05 Published:2018-10-05
  • Contact: Ju-Kui Xue E-mail:xuejk@nwnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11475027, 11865014, 11865014, 11274255, and 11305132), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of the Higher Education of Gansu Province, China (Grant No. 2016A-005).

摘要:

We analyze the effect of tilting and artificial magnetic flux, on the energy bands structure for the system and the corresponding tunneling dynamics for bosons with various initial configurations in the diamond lattice chain, where intriguing and significant phenomena occur, including Landau-Zener tunneling, Bloch oscillations, and localization phenomenon. Both vertical tilting and artificial magnetic flux may alter the structure of energy levels (dispersion structure or flat band), and enforce the occurrence of Landau-Zener tunneling, which scans the whole of the Bloch bands. We find that, transitions among Landau-Zener tunneling, Bloch oscillations, and localization phenomenon, are not only closely related to the energy bands structure, but also depends on the initial configuration of bosons in the diamond lattice chain. As a consequence, Landau-Zener tunneling, Bloch oscillations, and localization phenonmenon of bosons always counteract and are complementary with each other in the diamond lattice chain.

关键词: Bose-Einstein condensate, Landau-Zener tunneling, Bloch oscillation, localization, flat band

Abstract:

We analyze the effect of tilting and artificial magnetic flux, on the energy bands structure for the system and the corresponding tunneling dynamics for bosons with various initial configurations in the diamond lattice chain, where intriguing and significant phenomena occur, including Landau-Zener tunneling, Bloch oscillations, and localization phenomenon. Both vertical tilting and artificial magnetic flux may alter the structure of energy levels (dispersion structure or flat band), and enforce the occurrence of Landau-Zener tunneling, which scans the whole of the Bloch bands. We find that, transitions among Landau-Zener tunneling, Bloch oscillations, and localization phenomenon, are not only closely related to the energy bands structure, but also depends on the initial configuration of bosons in the diamond lattice chain. As a consequence, Landau-Zener tunneling, Bloch oscillations, and localization phenonmenon of bosons always counteract and are complementary with each other in the diamond lattice chain.

Key words: Bose-Einstein condensate, Landau-Zener tunneling, Bloch oscillation, localization, flat band

中图分类号:  (Electron-positron plasmas)

  • 52.27.Ep
52.38.Hb (Self-focussing, channeling, and filamentation in plasmas) 98.70.Rz (γ-ray sources; γ-ray bursts)