中国物理B ›› 2017, Vol. 26 ›› Issue (11): 115202-115202.doi: 10.1088/1674-1056/26/11/115202

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

Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential

Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎)   

  1. Key Laboratory of Atomic & Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2017-05-11 修回日期:2017-08-17 出版日期:2017-11-05 发布日期:2017-11-05
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11475027, 11764039, 11274255, and 11305132), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20136203110001), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential

Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎)   

  1. Key Laboratory of Atomic & Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2017-05-11 Revised:2017-08-17 Online:2017-11-05 Published:2017-11-05
  • Contact: Ju-Kui Xue E-mail:xuejk@nwnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11475027, 11764039, 11274255, and 11305132), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20136203110001), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

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摘要：

We investigate the tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential. Uncorrelated tunneling of Rabi oscillation with the minimum period can happen only when the two-and three-body interactions satisfy a critical condition, i.e., the effective interaction energy is minimized. When the atomic interactions are slightly away from the critical condition in the weak interaction regime, the uncorrelated tunneling exhibits collapse-revival character. When the atomic interactions are strong and far away from the critical condition, the correlated tunneling with Rabi oscillation occurs. The tunneling period (the period of collapse-revival) increases (decreases) when the rate between the two-body and three-body interactions is away from the corresponding critical condition or when the number of bosons increases. Further, the tunneling properties are understood with the help of the energy spectrum of the system. Eventually, the effect of the initial configuration on the tunneling dynamics of a few bosons for both odd and even numbers of bosons is studied, which results in intriguing consequences.

关键词: Bose-Einstein condensate, Rabi oscillation, collapse-revival

Abstract:

We investigate the tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential. Uncorrelated tunneling of Rabi oscillation with the minimum period can happen only when the two-and three-body interactions satisfy a critical condition, i.e., the effective interaction energy is minimized. When the atomic interactions are slightly away from the critical condition in the weak interaction regime, the uncorrelated tunneling exhibits collapse-revival character. When the atomic interactions are strong and far away from the critical condition, the correlated tunneling with Rabi oscillation occurs. The tunneling period (the period of collapse-revival) increases (decreases) when the rate between the two-body and three-body interactions is away from the corresponding critical condition or when the number of bosons increases. Further, the tunneling properties are understood with the help of the energy spectrum of the system. Eventually, the effect of the initial configuration on the tunneling dynamics of a few bosons for both odd and even numbers of bosons is studied, which results in intriguing consequences.

Key words: Bose-Einstein condensate, Rabi oscillation, collapse-revival

中图分类号:  (Electron-positron plasmas)

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