Related papers: Quantum Formation of Topological Defects

Quantum Formation of Topological Defects

URL: http://arxiv.org/abs/2009.11480v2
Date: Wed, 2 Dec 2020 19:35:59 GMT
Title: Quantum Formation of Topological Defects
Authors: Mainak Mukhopadhyay, Tanmay Vachaspati and George Zahariade
Abstract summary: 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.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 $t^{-d/2}$ and evolve towards attractor solutions that are independent of the quench timescale. For $d=1$ our results apply in the region of parameters $\lambda \tau/m \ll 1$ where $\lambda$ is the quartic self-interaction of the order parameter, $\tau$ is the quench timescale, and $m$ the mass parameter.

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