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Reverse engineering of a Hamiltonian by designing the evolution operators
We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD), the present scheme is focus on only one or p...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4957130/ https://www.ncbi.nlm.nih.gov/pubmed/27444137 http://dx.doi.org/10.1038/srep30151 |
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author | Kang, Yi-Hao Chen, Ye-Hong Wu, Qi-Cheng Huang, Bi-Hua Xia, Yan Song, Jie |
author_facet | Kang, Yi-Hao Chen, Ye-Hong Wu, Qi-Cheng Huang, Bi-Hua Xia, Yan Song, Jie |
author_sort | Kang, Yi-Hao |
collection | PubMed |
description | We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD), the present scheme is focus on only one or parts of moving states in a D-dimension (D ≥ 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfer for a Rydberg atom. The influences of various decoherence processes are discussed by numerical simulation and the result shows that the scheme is fast and robust against the decoherence and operational imperfection. Therefore, this scheme may be used to construct a Hamiltonian which can be realized in experiments. |
format | Online Article Text |
id | pubmed-4957130 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-49571302016-07-26 Reverse engineering of a Hamiltonian by designing the evolution operators Kang, Yi-Hao Chen, Ye-Hong Wu, Qi-Cheng Huang, Bi-Hua Xia, Yan Song, Jie Sci Rep Article We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD), the present scheme is focus on only one or parts of moving states in a D-dimension (D ≥ 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfer for a Rydberg atom. The influences of various decoherence processes are discussed by numerical simulation and the result shows that the scheme is fast and robust against the decoherence and operational imperfection. Therefore, this scheme may be used to construct a Hamiltonian which can be realized in experiments. Nature Publishing Group 2016-07-22 /pmc/articles/PMC4957130/ /pubmed/27444137 http://dx.doi.org/10.1038/srep30151 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Kang, Yi-Hao Chen, Ye-Hong Wu, Qi-Cheng Huang, Bi-Hua Xia, Yan Song, Jie Reverse engineering of a Hamiltonian by designing the evolution operators |
title | Reverse engineering of a Hamiltonian by designing the evolution operators |
title_full | Reverse engineering of a Hamiltonian by designing the evolution operators |
title_fullStr | Reverse engineering of a Hamiltonian by designing the evolution operators |
title_full_unstemmed | Reverse engineering of a Hamiltonian by designing the evolution operators |
title_short | Reverse engineering of a Hamiltonian by designing the evolution operators |
title_sort | reverse engineering of a hamiltonian by designing the evolution operators |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4957130/ https://www.ncbi.nlm.nih.gov/pubmed/27444137 http://dx.doi.org/10.1038/srep30151 |
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