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

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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Main Authors: Sh. Saedi, F. Kheirandish
Format: Article
Language:English
Published: Nature Publishing Group 2021-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-96787-6
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spelling doaj-522eea62e8b84bc6b734a03933d9d10f2021-09-05T11:33:48ZengNature Publishing GroupScientific Reports2045-23222021-08-0111111010.1038/s41598-021-96787-6Exact density matrix elements for a driven dissipative system described by a quadratic HamiltonianSh. Saedi0F. Kheirandish1Department of Physics, University of KurdistanDepartment of Physics, University of KurdistanAbstract 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.https://doi.org/10.1038/s41598-021-96787-6
collection DOAJ
language English
format Article
sources DOAJ
author Sh. Saedi
F. Kheirandish
spellingShingle Sh. Saedi
F. Kheirandish
Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian
Scientific Reports
author_facet Sh. Saedi
F. Kheirandish
author_sort 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 Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-08-01
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.
url https://doi.org/10.1038/s41598-021-96787-6
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AT fkheirandish exactdensitymatrixelementsforadrivendissipativesystemdescribedbyaquadratichamiltonian
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