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Title: Quantum formation of topological defects

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.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Arizona State Univ., Tempe, AZ (United States)
Publication Date:
Research Org.:
Arizona State Univ., Tempe, AZ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1729724
Grant/Contract Number:  
SC0019470; PHY-1613708; PHY-2012195
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 102; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Domain walls; Monopoles; Phase transitions; Quantum phase transitions; Spontaneous symmetry breaking; Topological defects; Topological phase transition; Vortices in field theory

Citation Formats

Mukhopadhyay, Mainak, Vachaspati, Tanmay, and Zahariade, George. Quantum formation of topological defects. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevd.102.116002.
Mukhopadhyay, Mainak, Vachaspati, Tanmay, & Zahariade, George. Quantum formation of topological defects. United States. https://doi.org/10.1103/physrevd.102.116002
Mukhopadhyay, Mainak, Vachaspati, Tanmay, and Zahariade, George. Tue . "Quantum formation of topological defects". United States. https://doi.org/10.1103/physrevd.102.116002. https://www.osti.gov/servlets/purl/1729724.
@article{osti_1729724,
title = {Quantum formation of topological defects},
author = {Mukhopadhyay, Mainak and Vachaspati, Tanmay and Zahariade, George},
abstractNote = {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.},
doi = {10.1103/physrevd.102.116002},
journal = {Physical Review D},
number = 11,
volume = 102,
place = {United States},
year = {2020},
month = {12}
}

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