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Topological Quantum Computing
Quantum Formation of Topological Defects
arXiv
Authors: Mainak Mukhopadhyay, Tanmay Vachaspati, George Zahariade
Year
2020
Paper ID
20460
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
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 λτ/m ll 1 where λ is the quartic self-interaction of the order parameter, τ is the quench timescale, and m the mass parameter.
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- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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- We consider quantum phase transitions with global symmetry breakings that result in the formation of topological defects.
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