Open AccessOne-dimensional tunneling dynamics between two-component Bose-Einstein condensates
Author(s) -
Li Gao-Qing,
Haijun Chen,
Ju-Kui Xue
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1449
Subject(s) - bose–einstein condensate , physics , quantum tunnelling , hamiltonian (control theory) , feynman diagram , component (thermodynamics) , quantum mechanics , phase portrait , nonlinear system , mathematical optimization , mathematics , bifurcation
One-dimensional quantum tunneling dynamics between two-component Bose-Einstein condensates confined in a double-well magnetic trap is investigated. One-dimensional Gross-Pitaevskii equations for two-component Bose-Einstein condensates are derived from the three-dimensional ones. We derive Feynman equations from one-dimensional Gross-Pitaevskii equations. To study tunneling dynamics we solve Feynman equations in terms of a completely numerical procedure. In contrast to single-component condensates between two-component condensates, we find that this system can take on abundant tunneling results, the full tunneling dynamical behavior is summarized in phase portrait with constant energy lines. It is found that this system can achieve self-trapping when increase interatomic interactions exceed a critical value. We give the analytical critical expressions of interatomic interactions from the system Hamiltonian.