Physics Department, University of Fribourg, Fribourg, Switzerland.
Phys Rev Lett. 2012 Feb 24;108(8):080404. doi: 10.1103/PhysRevLett.108.080404. Epub 2012 Feb 23.
We study the influence of geometry of quantum systems underlying space of states on its quantum many-body dynamics. We observe an interplay between dynamical and topological ingredients of quantum nonequilibrium dynamics revealed by the geometrical structure of the quantum space of states. As a primary example we use the anisotropic XY ring in a transverse magnetic field with an additional time-dependent flux. In particular, if the flux insertion is slow, nonadiabatic transitions in the dynamics are dominated by the dynamical phase. In the opposite limit geometric phase strongly affects transition probabilities. This interplay can lead to a nonequilibrium phase transition between these two regimes. We also analyze the effect of geometric phase on defect generation during crossing a quantum-critical point.
我们研究了处于量子态空间的量子系统的几何形状对其量子多体动力学的影响。我们观察到了由量子态空间的几何结构揭示的量子非平衡动力学的动力学和拓扑成分之间的相互作用。作为主要示例，我们使用在横向磁场中具有附加时间相关通量的各向异性 XY 环。特别是，如果通量插入缓慢，则动力学中的非绝热跃迁由动力学相主导。在相反的极限中，几何相强烈影响跃迁概率。这种相互作用可能导致这两个区域之间的非平衡相变。我们还分析了在穿过量子临界点时几何相位对缺陷产生的影响。
