Year: 2020
Type: article
Abstract: 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 ${t}^{\ensuremath{-}d/2}$ and evolve toward attractor solutions that are independent of the quench timescale. For $d=1$ our results apply in the region of parameters $\ensuremath{\lambda}\ensuremath{\tau}/m\ensuremath{\ll}1$ where $\ensuremath{\lambda}$ is the quartic self-interaction of the order parameter, $\ensuremath{\tau}$ is the quench timescale, and $m$ is the mass parameter.
Institution: Arizona State University
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W3087954173