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Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator
The geometric phases of a nanowire-bridged superconducting Fabry-Perot resonator subjected to a microwave transmission have been investigated through its modelling into a RLC-circuit. Because the Hamiltonian of the system is a somewhat complicated form, special mathematical techniques, such as the i...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6557848/ https://www.ncbi.nlm.nih.gov/pubmed/31182767 http://dx.doi.org/10.1038/s41598-019-44754-7 |
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author | Choi, Jeong Ryeol Ju, Sanghyun |
author_facet | Choi, Jeong Ryeol Ju, Sanghyun |
author_sort | Choi, Jeong Ryeol |
collection | PubMed |
description | The geometric phases of a nanowire-bridged superconducting Fabry-Perot resonator subjected to a microwave transmission have been investigated through its modelling into a RLC-circuit. Because the Hamiltonian of the system is a somewhat complicated form, special mathematical techniques, such as the invariant operator method and the unitary transformation approach, have been adopted in order to treat the system; These methods are very useful for managing complicated time-dependent Hamiltonian systems. We have rigorously evaluated the analytical geometric phases in both the Fock and coherent states. Typically, the geometric phases oscillate and the amplitude of such oscillations tend to grow over time. The influence of parameters of the system on the geometric phases has been analyzed in detail through the relevant illustrations. From our research, the concept of geometric phases and associated quantum mechanical characters of the system has been clarified. Our investigation for the geometric phases is useful for understanding topological features of the system, that take place through the evolution of the wave functions. |
format | Online Article Text |
id | pubmed-6557848 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-65578482019-06-19 Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator Choi, Jeong Ryeol Ju, Sanghyun Sci Rep Article The geometric phases of a nanowire-bridged superconducting Fabry-Perot resonator subjected to a microwave transmission have been investigated through its modelling into a RLC-circuit. Because the Hamiltonian of the system is a somewhat complicated form, special mathematical techniques, such as the invariant operator method and the unitary transformation approach, have been adopted in order to treat the system; These methods are very useful for managing complicated time-dependent Hamiltonian systems. We have rigorously evaluated the analytical geometric phases in both the Fock and coherent states. Typically, the geometric phases oscillate and the amplitude of such oscillations tend to grow over time. The influence of parameters of the system on the geometric phases has been analyzed in detail through the relevant illustrations. From our research, the concept of geometric phases and associated quantum mechanical characters of the system has been clarified. Our investigation for the geometric phases is useful for understanding topological features of the system, that take place through the evolution of the wave functions. Nature Publishing Group UK 2019-06-10 /pmc/articles/PMC6557848/ /pubmed/31182767 http://dx.doi.org/10.1038/s41598-019-44754-7 Text en © The Author(s) 2019 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 Choi, Jeong Ryeol Ju, Sanghyun Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title | Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title_full | Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title_fullStr | Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title_full_unstemmed | Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title_short | Analysis of the geometric phase for a nanowire-bridged superconducting Fabry-Perot resonator |
title_sort | analysis of the geometric phase for a nanowire-bridged superconducting fabry-perot resonator |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6557848/ https://www.ncbi.nlm.nih.gov/pubmed/31182767 http://dx.doi.org/10.1038/s41598-019-44754-7 |
work_keys_str_mv | AT choijeongryeol analysisofthegeometricphaseforananowirebridgedsuperconductingfabryperotresonator AT jusanghyun analysisofthegeometricphaseforananowirebridgedsuperconductingfabryperotresonator |