• Open Access

Lensing of Dirac monopole in Berry’s phase

Kazuo Fujikawa and Koichiro Umetsu
Phys. Rev. D 103, 096004 – Published 7 May 2021

Abstract

Berry’s phase, which is associated with the slow cyclic motion with a finite period, looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the level crossing point in the parameter space in an exactly solvable model. This topology change of Berry’s phase is visualized as a result of the lensing effect; the monopole supposed to be located at the level crossing point appears at the displaced point when the variables of the model deviate from the precisely adiabatic movement. The effective magnetic field generated by Berry’s phase is determined by a simple geometrical consideration of the magnetic flux coming from the displaced Dirac monopole.

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  • Received 25 January 2021
  • Accepted 12 April 2021

DOI:https://doi.org/10.1103/PhysRevD.103.096004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Kazuo Fujikawa1 and Koichiro Umetsu2

  • 1Interdisciplinary Theoretical and Mathematical Sciences Program, RIKEN, Wako 351-0198, Japan
  • 2Laboratory of Physics, College of Science and Technology, and Junior College, Funabashi Campus, Nihon University, Funabashi, Chiba 274-8501, Japan

Article Text

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Issue

Vol. 103, Iss. 9 — 1 May 2021

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