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Abstract

Topological charges are typically manipulated by managing their energy bands in quantum systems. In this work, we propose a new approach to manipulate the topological charges of systems by engineering density zeros of localized wave excitations in them. We demonstrate via numerical simulation and analytical analysis that the winding number of a toroidal Bose condensate can be well manipulated by engineering the relative velocities between the dark solitons and their backgrounds. The crossing of relative velocities through zero makes a change in winding number by inducing density zeros during acceleration, with the direction of crossing determining whether charge increases or decreases. Possibilities of observing such winding number manipulation are discussed for current experimental settings. This idea may also be to higher dimensions. These results will inspire new pathways in designing topological materials using quantum simulation platforms.

Details

1009240
Title
Manipulating topological charges via engineering zeros of wave functions
Publication title
arXiv.org; Ithaca
Publication year
2024
Publication date
Dec 10, 2024
Section
Condensed Matter; Nonlinear Sciences; Quantum Physics
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2024-12-11
Milestone dates
2024-12-10 (Submission v1)
Publication history
 
 
   First posting date
11 Dec 2024
ProQuest document ID
3143056198
Document URL
https://www.proquest.com/working-papers/manipulating-topological-charges-via-engineering/docview/3143056198/se-2?accountid=208611
Full text outside of ProQuest
Copyright
© 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-12-12
Database
2 databases
  • ProQuest One Academic
  • ProQuest One Academic