论文标题
激发量子扭结的自发发射
Spontaneous Emission from Excited Quantum Kinks
论文作者
论文摘要
许多扭结解决方案都享有内部激发,称为形状模式。在一些1+1D标量模型中,例如$ ϕ^4 $双孔模型,当扭结的形状模式被激发两次时,它可能会腐烂到基态扭结和中间膜。我们通过分析计算两次启用的形状模式的衰减速率,也可以计算出与经典形状模式相对应的连贯状态。在$ ϕ^4 $模型的情况下,我们发现后者与Manton和Merabet的经典结果一致。
Many kink solutions enjoy internal excitations, called shape modes. In some 1+1d scalar models, such as the $ϕ^4$ double-well model, when a kink's shape mode is excited twice it may decay to a ground state kink plus a meson. We analytically calculate the decay rates of both the twice-excited shape mode and also a coherent state corresponding to the classically excited shape mode. In the case of the $ϕ^4$ model, we find that the latter agrees with the classical result of Manton and Merabet.