论文标题
拓扑缺陷的量子形成
Quantum Formation of Topological Defects
论文作者
论文摘要
我们考虑量子相变，其全局对称性断裂会导致拓扑缺陷的形成。我们分别评估了$ d = 1,2,3 $空间尺寸生产的扭结，涡旋和单极的数量密度，并发现它们扩展为$ t^{ - d/2} $，并发展为独立于Quench时段大小的吸引者溶液。对于$ d = 1 $，我们的结果适用于参数区域$λτ/m \ ll 1 $，其中$λ$是订单参数的四分之一的自我相互作用，$τ$是淬火时间表，而$ m $ m $ the Mass参数。
We consider quantum phase transitions with global symmetry breakings that result in the formation of topological defects. We evaluate the number densities of kinks, vortices, and monopoles that are produced in $d=1,2,3$ spatial dimensions respectively and find that they scale as $t^{-d/2}$ and evolve towards attractor solutions that are independent of the quench timescale. For $d=1$ our results apply in the region of parameters $λτ/m \ll 1$ where $λ$ is the quartic self-interaction of the order parameter, $τ$ is the quench timescale, and $m$ the mass parameter.
