Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
Abstract 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 operato...
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2021
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oai:doaj.org-article:522eea62e8b84bc6b734a03933d9d10f2021-12-02T15:27:33ZExact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian10.1038/s41598-021-96787-62045-2322https://doaj.org/article/522eea62e8b84bc6b734a03933d9d10f2021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-96787-6https://doaj.org/toc/2045-2322Abstract 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.Sh. SaediF. KheirandishNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021) |
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Medicine R Science Q Sh. Saedi F. Kheirandish Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian |
description |
Abstract 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. |
format |
article |
author |
Sh. Saedi F. Kheirandish |
author_facet |
Sh. Saedi F. Kheirandish |
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Sh. Saedi |
title |
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_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_sort |
exact density matrix elements for a driven dissipative system described by a quadratic hamiltonian |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/522eea62e8b84bc6b734a03933d9d10f |
work_keys_str_mv |
AT shsaedi exactdensitymatrixelementsforadrivendissipativesystemdescribedbyaquadratichamiltonian AT fkheirandish exactdensitymatrixelementsforadrivendissipativesystemdescribedbyaquadratichamiltonian |
_version_ |
1718387202109472768 |