论文标题
驱动的耗散玻色块二聚体中经典分叉的量子表现
Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer
论文作者
论文摘要
我们分析了驱动耗散性玻色粘合剂二聚体的经典和量子动力学。在驾驶频率的变化下，经典系统显示出对极限循环的分叉，在该周期中，其稳态解决方案对应于周期性振荡，频率与驱动频率无关。该分叉显示可导致量子系统的固定单粒子密度基质中的特殊性。简短地讨论了Bose-Hubbard Trimer的情况，其中讨论的极限周期分叉成混乱的吸引子。
We analyze the classical and quantum dynamics of the driven dissipative Bose-Hubbard dimer. Under variation of the driving frequency, the classical system is shown to exhibit a bifurcation to the limit cycle, where its steady-state solution corresponds to periodic oscillation with the frequency unrelated to the driving frequency. This bifurcation is shown to lead to a peculiarity in the stationary single-particle density matrix of the quantum system. The case of the Bose-Hubbard trimer, where the discussed limit cycle bifurcates into a chaotic attractor, is briefly discussed.
