耦合旋量凝聚中的不稳定避免交叉
Unstable Avoided Crossing in Coupled Spinor Condensates
摘要：
我们考虑了具有两个内部态的玻色-爱因斯坦凝聚体的动力学，通过相干驱动耦合。我们专注于一个特定的淬火协议，其中耦合场的符号突然改变。在平均场水平下，系统从耦合能量的最小值转移到最大值，并且可以保持动态稳定，尽管负频率模式的发展。在两个状态之间存在非零失谐的情况下，“电荷”和“自旋”模式耦合，产生不稳定的避免交叉。这种现象对于具有两个远离平衡的色散模式的系统是普遍的，并且构成量子系统中的类$I_o$非平衡斑图形成的示例。
英文摘要：
We consider the dynamics of a Bose-Einstein condensate with two internal states, coupled through a coherent drive. We focus on a specific quench protocol, in which the sign of the coupling field is suddenly changed. At a mean-field level, the system is transferred from a minimum to a maximum of the coupling energy and can remain dynamically stable, in spite of the development of negative- frequency modes. In the presence of a non-zero detuning between the two states, the "charge" and "spin" modes couple, giving rise to an unstable avoided crossing. This phenomenon is generic to systems with two dispersing modes away from equilibrium and constitutes an example of class-$I_o$ non-equilibrium pattern formation in quantum systems.
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