Emergence of classical structures from the quantum vacuum

• URL: http://arxiv.org/abs/2004.07249v4
• Date: Fri, 25 Sep 2020 18:08:17 GMT
• Title: Emergence of classical structures from the quantum vacuum
• Authors: Mainak Mukhopadhyay, Tanmay Vachaspati, George Zahariade
• Abstract summary: We find that the number density of kinks at late times universally scales as $C m1/2 t-1/2$ where $m$ is a mass scale in the model. A subleading correction $propto t-3/2$ to the kink density depends on the details of the phase transition.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: After a quantum phase transition the quantum vacuum can break up to form classical topological defects. We examine this process for scalar field models with $Z_2$ symmetry for different quench rates for the phase transition. We find that the number density of kinks at late times universally scales as $C m^{1/2} t^{-1/2}$ where $m$ is a mass scale in the model and $C\approx 0.22$; it does not depend on the quench timescale in contrast to the Kibble-Zurek scaling for thermal phase transitions. A subleading correction $\propto t^{-3/2}$ to the kink density depends on the details of the phase transition.

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