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

Abstract 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...

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Autor principal:	Sujit Sarkar
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6abec8037c30414cb07c08cf75d4619e
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spelling	oai:doaj.org-article:6abec8037c30414cb07c08cf75d4619e2021-12-02T15:08:01ZQuantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction10.1038/s41598-018-24136-12045-2322https://doaj.org/article/6abec8037c30414cb07c08cf75d4619e2018-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-24136-1https://doaj.org/toc/2045-2322Abstract 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.Sujit SarkarNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-20 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Sujit Sarkar Quantization of geometric phase with integer and fractional topological characterization in a quantum Ising chain with long-range interaction
description	Abstract 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.
format	article
author	Sujit Sarkar
author_facet	Sujit Sarkar
author_sort	Sujit Sarkar
title	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_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_sort	quantization of geometric phase with integer and fractional topological characterization in a quantum ising chain with long-range interaction
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/6abec8037c30414cb07c08cf75d4619e
work_keys_str_mv	AT sujitsarkar quantizationofgeometricphasewithintegerandfractionaltopologicalcharacterizationinaquantumisingchainwithlongrangeinteraction
_version_	1718388319371395072

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

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