Poletti Dario, Fu Libin, Liu Jie, Li Baowen
Department of Physics and Center for Computational Science and Engineering, National University of Singapore, Republic of Singapore.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 May;73(5 Pt 2):056203. doi: 10.1103/PhysRevE.73.056203. Epub 2006 May 8.
We investigate the quantum dynamics of a periodically kicked Bose-Einstein condensate (BEC) confined in a one-dimensional (1D) box both numerically and theoretically, emphasizing on the phenomena of quantum resonance and antiresonance. The quantum resonant behavior of BEC is different from the single particle case but the antiresonance condition (Tau = 2pi and alpha = 0) is not affected by the atomic interaction. For the antiresonance case, the nonlinearity (atom interaction) causes the transition between oscillation and quantum beating. For the quantum resonance case, because of the coherence of BEC, the energy increase is oscillating and the rate is dramatically affected by the many-body interaction. We also discuss the relation between the quantum resonant behavior and the Kolmogorov-Arnold-Moser (KAM) or non-KAM property of the corresponding classical system.
我们通过数值模拟和理论分析研究了限制在一维盒子中的周期性驱动玻色-爱因斯坦凝聚体（BEC）的量子动力学，重点关注量子共振和反共振现象。BEC的量子共振行为与单粒子情况不同，但反共振条件（Tau = 2π且alpha = 0）不受原子相互作用的影响。对于反共振情况，非线性（原子相互作用）导致振荡和量子拍频之间的转变。对于量子共振情况，由于BEC的相干性，能量增加是振荡的，并且速率受到多体相互作用的显著影响。我们还讨论了量子共振行为与相应经典系统的柯尔莫哥洛夫-阿诺尔德-莫泽（KAM）或非KAM性质之间的关系。
