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On the Quantization of AB Phase in Nonlinear Systems
Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence. Using the Qi-Wu-Zhang model plus power law nonlinearity, we systematically study in this paper the Aharonov–Bohm...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9778323/ https://www.ncbi.nlm.nih.gov/pubmed/36554240 http://dx.doi.org/10.3390/e24121835 |
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author | Liu, Xi Wang, Qing-Hai Gong, Jiangbin |
author_facet | Liu, Xi Wang, Qing-Hai Gong, Jiangbin |
author_sort | Liu, Xi |
collection | PubMed |
description | Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence. Using the Qi-Wu-Zhang model plus power law nonlinearity, we systematically study in this paper the Aharonov–Bohm (AB) phase associated with an adiabatic process in the momentum space, with two adiabatic paths circling around one nonlinear Dirac cone. Interestingly, for and only for Kerr nonlinearity, the AB phase experiences a jump of [Formula: see text] at the critical nonlinearity at which the Dirac cone appears and disappears (thus yielding [Formula: see text]-quantization of the AB phase so long as the nonlinear Dirac cone exists), whereas for all other powers of nonlinearity, the AB phase always changes continuously with the nonlinear strength. Our results may be useful for experimental measurement of power-law nonlinearity and shall motivate further fundamental interest in aspects of geometric phase and adiabatic following in nonlinear systems. |
format | Online Article Text |
id | pubmed-9778323 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-97783232022-12-23 On the Quantization of AB Phase in Nonlinear Systems Liu, Xi Wang, Qing-Hai Gong, Jiangbin Entropy (Basel) Article Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence. Using the Qi-Wu-Zhang model plus power law nonlinearity, we systematically study in this paper the Aharonov–Bohm (AB) phase associated with an adiabatic process in the momentum space, with two adiabatic paths circling around one nonlinear Dirac cone. Interestingly, for and only for Kerr nonlinearity, the AB phase experiences a jump of [Formula: see text] at the critical nonlinearity at which the Dirac cone appears and disappears (thus yielding [Formula: see text]-quantization of the AB phase so long as the nonlinear Dirac cone exists), whereas for all other powers of nonlinearity, the AB phase always changes continuously with the nonlinear strength. Our results may be useful for experimental measurement of power-law nonlinearity and shall motivate further fundamental interest in aspects of geometric phase and adiabatic following in nonlinear systems. MDPI 2022-12-16 /pmc/articles/PMC9778323/ /pubmed/36554240 http://dx.doi.org/10.3390/e24121835 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Liu, Xi Wang, Qing-Hai Gong, Jiangbin On the Quantization of AB Phase in Nonlinear Systems |
title | On the Quantization of AB Phase in Nonlinear Systems |
title_full | On the Quantization of AB Phase in Nonlinear Systems |
title_fullStr | On the Quantization of AB Phase in Nonlinear Systems |
title_full_unstemmed | On the Quantization of AB Phase in Nonlinear Systems |
title_short | On the Quantization of AB Phase in Nonlinear Systems |
title_sort | on the quantization of ab phase in nonlinear systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9778323/ https://www.ncbi.nlm.nih.gov/pubmed/36554240 http://dx.doi.org/10.3390/e24121835 |
work_keys_str_mv | AT liuxi onthequantizationofabphaseinnonlinearsystems AT wangqinghai onthequantizationofabphaseinnonlinearsystems AT gongjiangbin onthequantizationofabphaseinnonlinearsystems |