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Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian

For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions. The approach is based on the Heisenberg equations of motion and operator calculu...

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Autores principales: Saedi, Sh., Kheirandish, F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8405690/
https://www.ncbi.nlm.nih.gov/pubmed/34462481
http://dx.doi.org/10.1038/s41598-021-96787-6
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author Saedi, Sh.
Kheirandish, F.
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Kheirandish, F.
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description For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions. The approach is based on the Heisenberg equations of motion and operator calculus. The special and limiting cases are discussed.
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spelling pubmed-84056902021-09-01 Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian Saedi, Sh. Kheirandish, F. Sci Rep Article For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions. The approach is based on the Heisenberg equations of motion and operator calculus. The special and limiting cases are discussed. Nature Publishing Group UK 2021-08-30 /pmc/articles/PMC8405690/ /pubmed/34462481 http://dx.doi.org/10.1038/s41598-021-96787-6 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Saedi, Sh.
Kheirandish, F.
Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title_full Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title_fullStr Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title_full_unstemmed Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title_short Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
title_sort exact density matrix elements for a driven dissipative system described by a quadratic hamiltonian
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8405690/
https://www.ncbi.nlm.nih.gov/pubmed/34462481
http://dx.doi.org/10.1038/s41598-021-96787-6
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