基于量子算符涨落的非线性隧穿效应

Nonlinear Tunneling Effect based on Quantum Operator Fluctuation

本文主要讨论玻色-爱因斯坦凝聚体系(BECs)中关于量子算符涨落的非线性隧穿效应.通过数值模拟对称双势阱中BECs粒子与非线性作用的演化关系,可以得到在引入量子的算符涨落后,体系同样表现出Josephson效应和自囚禁现象.该理论极大地补充了基于平均场描述和量子描述下的非线性隧穿效应,为BECs的非线性隧穿效应的实验研究提供了理论依据.

The nonlinear tunneling effect of quantum operator fluctuation in Bose-Einstein condensation systems （BECs） is discnssed in this paper. Through calculating the time evolution about particles of BECs in symmetric double well potentials, the system has also shown Josephson-effect and self-tapping phenomena by means of introducing the quantum operator fluctuation. The conclusion not only considerably supplements the theory of nonlinear tunneling effect based on the mean-filed approximation and quantum description, but also provides a theoretical basis for the experiment of nonlinear tunneling in BECs.