中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100312-100312.doi: 10.1088/1674-1056/27/10/100312

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

Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Ying Wang(王颖), Shuyu Zhou(周蜀渝)   

  1. 1 School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China;
    2 Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai 201800, China
  • 收稿日期:2018-04-18 修回日期:2018-07-15 出版日期:2018-10-05 发布日期:2018-10-05
  • 通讯作者: Ying Wang, Shuyu Zhou E-mail:wangying@just.edu.cn;syz@siom.ac.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11547024, 11791240178, and 11674338.

Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Ying Wang(王颖)1, Shuyu Zhou(周蜀渝)2   

  1. 1 School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China;
    2 Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Shanghai 201800, China
  • Received:2018-04-18 Revised:2018-07-15 Online:2018-10-05 Published:2018-10-05
  • Contact: Ying Wang, Shuyu Zhou E-mail:wangying@just.edu.cn;syz@siom.ac.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11547024, 11791240178, and 11674338.

摘要:

We study the phenomena of the sonic horizon in an ultracold atomic Fermi system in an elongated harmonic trap. Based on the one-dimensional Gross-Pitaevskii equation model and variational method combined with exact derivation approach, we derive an analytical formula which describes the occurrence of the sonic horizon and the associated Hawking radiation temperature. Using a pictorial demonstration of the key physical quantities we identify the features reported in prior numerical studies of a three-dimensional (3D) ultracold atomic system, proving the applicability of the theoretical model presented here.

关键词: sonic horizon, ultracold Fermi system, Gross-Pitaevskii equation

Abstract:

We study the phenomena of the sonic horizon in an ultracold atomic Fermi system in an elongated harmonic trap. Based on the one-dimensional Gross-Pitaevskii equation model and variational method combined with exact derivation approach, we derive an analytical formula which describes the occurrence of the sonic horizon and the associated Hawking radiation temperature. Using a pictorial demonstration of the key physical quantities we identify the features reported in prior numerical studies of a three-dimensional (3D) ultracold atomic system, proving the applicability of the theoretical model presented here.

Key words: sonic horizon, ultracold Fermi system, Gross-Pitaevskii equation

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

  • 03.75.Lm
05.45.-a (Nonlinear dynamics and chaos) 47.37.+q (Hydrodynamic aspects of superfluidity; quantum fluids)