Relaxation and Dephasing in Open Quantum Systems Time-Dependent Density Functional Theory: Properties of Exact Functionals from an Exactly-Solvable Model System

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Relaxation and Dephasing in Open Quantum Systems Time-Dependent Density Functional Theory: Properties of Exact Functionals from an Exactly-Solvable Model System

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Title: Relaxation and Dephasing in Open Quantum Systems Time-Dependent Density Functional Theory: Properties of Exact Functionals from an Exactly-Solvable Model System
Author: Tempel, David Gabriel; Aspuru-Guzik, Alán

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Citation: Tempel, David Gabriel, and Alán Aspuru-Guzik. 2011. Relaxation and dephasing in open quantum systems time-dependent density functional theory: Properties of exact functionals from an exactly-solvable model system. Chemical Physics 391(1): 130–142.
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Abstract: The dissipative dynamics of many-electron systems interacting with a thermal environment has remained a long-standing challenge within time-dependent density functional theory (TDDFT). Recently, the formal foundations of open quantum systems time-dependent density functional theory (OQS-TDDFT) within the master equation approach were established. It was proven that the exact time-dependent density of a many-electron open quantum system evolving under a master equation can be reproduced with a closed (unitarily evolving) and non-interacting Kohn–Sham system. This potentially offers a great advantage over previous approaches to OQS-TDDFT, since with suitable functionals one could obtain the dissipative open-systems dynamics by simply propagating a set of Kohn–Sham orbitals as in usual TDDFT. However, the properties and exact conditions of such open-systems functionals are largely unknown. In the present article, we examine a simple and exactly-solvable model open quantum system: one electron in a harmonic well evolving under the Lindblad master equation. We examine two different representitive limits of the Lindblad equation (relaxation and pure dephasing) and are able to deduce a number of properties of the exact OQS-TDDFT functional. Challenges associated with developing approximate functionals for many-electron open quantum systems are also discussed.
Published Version: doi:10.1016/j.chemphys.2011.03.014
Other Sources: http://arxiv.org/abs/1101.0141
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8438167
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