Open Access
Dynamical phase changes of the self-trapping of Bose-Einstein condensates and its characteristic of entanglement
Author(s) -
Yun Ma,
Libin Fu,
Yang Zhi-An,
Jie Liu
Publication year - 2006
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.55.5623
Subject(s) - quantum entanglement , physics , trapping , bose–einstein condensate , critical point (mathematics) , quantum phase transition , phase transition , quantum , quantum mechanics , transition point , entropy (arrow of time) , condensed matter physics , thermodynamics , ecology , mathematical analysis , mathematics , biology
In this paper, we exploit two-mode model to investigate the influence of quantum fluctuation on the self-trapping of the Bose-Einstein Condensate(BEC). We found that, even for the finite number of particles, the transition to self-trapping is still observed.In particular, because of the quantum fluctuation due to the finite number of particles, the critical phenomenon becomes fuzzily: the smaller the number of particles is, the more obviously fuzzily the critical phenomenon becomes. Quantum entanglement entropy is then introduced to depict the critical behavior near the transition point.