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Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction

An attempt is made to study and understand the behavior of quantization of geometric phase of a quantum Ising chain with long range interaction. We show the existence of integer and fractional topological characterization for this model Hamiltonian with different quantization condition and also the...

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Autor principal: Sarkar, Sujit
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5897533/
https://www.ncbi.nlm.nih.gov/pubmed/29650989
http://dx.doi.org/10.1038/s41598-018-24136-1
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author Sarkar, Sujit
author_facet Sarkar, Sujit
author_sort Sarkar, Sujit
collection PubMed
description An attempt is made to study and understand the behavior of quantization of geometric phase of a quantum Ising chain with long range interaction. We show the existence of integer and fractional topological characterization for this model Hamiltonian with different quantization condition and also the different quantized value of geometric phase. The quantum critical lines behave differently from the perspective of topological characterization. The results of duality and its relation to the topological quantization is presented here. The symmetry study for this model Hamiltonian is also presented. Our results indicate that the Zak phase is not the proper physical parameter to describe the topological characterization of system with long range interaction. We also present quite a few exact solutions with physical explanation. Finally we present the relation between duality, symmetry and topological characterization. Our work provides a new perspective on topological quantization.
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spelling pubmed-58975332018-04-20 Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction Sarkar, Sujit Sci Rep Article An attempt is made to study and understand the behavior of quantization of geometric phase of a quantum Ising chain with long range interaction. We show the existence of integer and fractional topological characterization for this model Hamiltonian with different quantization condition and also the different quantized value of geometric phase. The quantum critical lines behave differently from the perspective of topological characterization. The results of duality and its relation to the topological quantization is presented here. The symmetry study for this model Hamiltonian is also presented. Our results indicate that the Zak phase is not the proper physical parameter to describe the topological characterization of system with long range interaction. We also present quite a few exact solutions with physical explanation. Finally we present the relation between duality, symmetry and topological characterization. Our work provides a new perspective on topological quantization. Nature Publishing Group UK 2018-04-12 /pmc/articles/PMC5897533/ /pubmed/29650989 http://dx.doi.org/10.1038/s41598-018-24136-1 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Sarkar, Sujit
Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title_full Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title_fullStr Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title_full_unstemmed Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title_short Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
title_sort quantization of geometric phase with integer and fractional topological characterization in a quantum ising chain with long-range interaction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5897533/
https://www.ncbi.nlm.nih.gov/pubmed/29650989
http://dx.doi.org/10.1038/s41598-018-24136-1
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