受驱动耗散玻色-哈伯德二聚体经典分岔的量子表现
Quantum manifestation of the classical bifurcation in the driven dissipative Bose-Hubbard dimer
摘要：
我们分析了驱动耗散玻色-哈伯德二聚体的经典和量子动力学。在驱动频率的变化下，经典系统表现出分岔到极限环，其稳态解对应于频率与驱动频率无关的周期振荡.这种分叉导致量子系统的稳态单粒子密度矩阵的一个特性。的情况下，玻色-哈伯德三聚体，其中讨论的极限环分叉成一个混沌吸引子，进行了简要的讨论。
英文摘要：
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.
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