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Topological Quantum Computing Quantum Simulation

Polarization of the vacuum of quantized spinor field by a topological defect in two-dimensional space

arXiv
Authors: Yurii A. Sitenko, Volodymyr M. Gorkavenko

Year

2019

Paper ID

14589

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

N/A

Abstract

Two-dimensional space with a topological defect is a transverse section of three-dimensional space with the Abrikosov-Nielsen-Olesen vortex, i.e. a gauge-flux-carrying tube which is impenetrable for quantum matter. Charged spinor matter field is quantized in this section with the most general mathematically admissible boundary condition at the edge of the defect. We show that a current and a magnetic field are induced in the vacuum. The dependence of the results on boundary conditions is studied, and we find that the requirement of finiteness of the total induced vacuum magnetic flux removes an ambiguity in the choice of boundary conditions. The differences between cases of massive and massless spinor matter are discussed.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • Two-dimensional space with a topological defect is a transverse section of three-dimensional space with the Abrikosov-Nielsen-Olesen vortex, i.e.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.10555 [2] arXiv https://arxiv.org/abs/1911.10555 [3] Publisher https://arxiv.org/abs/1911.10555

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