中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10303-010303.doi: 10.1088/1674-1056/28/1/010303

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

Current-phase relations of a ring-trapped Bose-Einstein condensate with a weak link

Xiu-Rong Zhang(张秀荣), Wei-Dong Li(李卫东)   

  1. 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
  • 收稿日期:2018-10-05 修回日期:2018-10-26 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: Wei-Dong Li E-mail:wdli@sxu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11874247), the National Key Research and Development Program of China (Grant Nos. 2017YFA0304500 and 2017YFA0304203), PCSIRT, China (Grant No. IRT-17R70), and the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201703).

Current-phase relations of a ring-trapped Bose-Einstein condensate with a weak link

Xiu-Rong Zhang(张秀荣), Wei-Dong Li(李卫东)   

  1. 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
  • Received:2018-10-05 Revised:2018-10-26 Online:2019-01-05 Published:2019-01-05
  • Contact: Wei-Dong Li E-mail:wdli@sxu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11874247), the National Key Research and Development Program of China (Grant Nos. 2017YFA0304500 and 2017YFA0304203), PCSIRT, China (Grant No. IRT-17R70), and the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201703).

摘要:

The current-phase relations of a ring-trapped Bose-Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current-phase diagram, single and multi-valued relation, is presented with a rescaled barrier height and width. Our results show that the finite size makes the current-phase relation deviate a little bit from the cosine form for the soliton solution in the limit of a vanishing barrier, and the periodic boundary condition selects only the plane wave solution in the case of high barrier. The reason for multi-valued current-phase relation is given by investigating the behavior of soliton solution.

关键词: ring-trapped Bose-Einstein condensate, weak link, current-phase relation, analytical solution

Abstract:

The current-phase relations of a ring-trapped Bose-Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current-phase diagram, single and multi-valued relation, is presented with a rescaled barrier height and width. Our results show that the finite size makes the current-phase relation deviate a little bit from the cosine form for the soliton solution in the limit of a vanishing barrier, and the periodic boundary condition selects only the plane wave solution in the case of high barrier. The reason for multi-valued current-phase relation is given by investigating the behavior of soliton solution.

Key words: ring-trapped Bose-Einstein condensate, weak link, current-phase relation, analytical solution

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
47.37.+q (Hydrodynamic aspects of superfluidity; quantum fluids) 74.50.+r (Tunneling phenomena; Josephson effects)