Nonlinear tunneling through a strong rectangular barrier

doi:10.1088/1674-1056/24/7/070311

中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70311-070311.doi: 10.1088/1674-1056/24/7/070311

Nonlinear tunneling through a strong rectangular barrier

张秀荣, 李卫东

Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China

收稿日期:2014-11-02 修回日期:2015-02-16 出版日期:2015-07-05 发布日期:2015-07-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074155 and 11374197), the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT), China (Grant No. IRT13076), and the National High Technology Research and Development Program of China (Grant No. 2011AA010801).

Nonlinear tunneling through a strong rectangular barrier

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

Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China

Received:2014-11-02 Revised:2015-02-16 Online:2015-07-05 Published:2015-07-05
Contact: Li Wei-Dong E-mail:wdli@sxu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074155 and 11374197), the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT), China (Grant No. IRT13076), and the National High Technology Research and Development Program of China (Grant No. 2011AA010801).

摘要/Abstract

摘要： Nonlinear tunneling is investigated by analytically solving the one-dimensional Gross–Pitaevskii equation (GPE) with a strong rectangular potential barrier. With the help of analytical solutions of the GPE, which can be reduced to the solution of the linear case, we find that only the supersonic solution in the downstream has a linear counterpart. A critical nonlinearity is explored as an up limit, above which no nonlinear tunneling solution exists. Furthermore, the density solution of the critical nonlinearity as a function of the position has a step-like structure.

关键词: nonlinear tunneling, Gross-Pitaevskii equation (GPE), analytic solution

Abstract: Nonlinear tunneling is investigated by analytically solving the one-dimensional Gross–Pitaevskii equation (GPE) with a strong rectangular potential barrier. With the help of analytical solutions of the GPE, which can be reduced to the solution of the linear case, we find that only the supersonic solution in the downstream has a linear counterpart. A critical nonlinearity is explored as an up limit, above which no nonlinear tunneling solution exists. Furthermore, the density solution of the critical nonlinearity as a function of the position has a step-like structure.

Key words: nonlinear tunneling, Gross-Pitaevskii equation (GPE), analytic solution

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

03.75.Lm

03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

张秀荣, 李卫东. Nonlinear tunneling through a strong rectangular barrier[J]. 中国物理B, 2015, 24(7): 70311-070311.

Zhang Xiu-Rong (张秀荣), Li Wei-Dong (李卫东). Nonlinear tunneling through a strong rectangular barrier[J]. Chin. Phys. B, 2015, 24(7): 70311-070311.

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Nonlinear tunneling through a strong rectangular barrier

Nonlinear tunneling through a strong rectangular barrier

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