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 toward attractor solutions that are independent of the quench timescale. For d=1 our results apply in the region of parameters λτ/m≪1 where λ is the quartic self-interaction of the order parameter, τ is the quench timescale, and m is the mass parameter.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)