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Trace preserving qu...
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
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- Ålund, Oskar, 1987- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Akamatsu, Yukinao (author)
- Department of Physics, Osaka University, Toyonaka, Japan
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- Laurén, Fredrik, 1990- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Miura, Takahiro (author)
- Department of Physics, Osaka University, Toyonaka, Japan
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten,Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa
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- Rothkopf, Alexander (author)
- Faculty of Science and Technology, University of Stavanger, Norway
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(creator_code:org_t)
- Elsevier, 2021
- 2021
- English.
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In: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 425
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Abstract
Subject headings
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- We develop a novel numerical scheme for the simulation of dissipative quantum dynamics, following from two-body Lindblad master equations. It exactly preserves the trace of the density matrix and shows only mild deviations from hermiticity and positivity, which are the defining properties of the continuum Lindblad dynamics. The central ingredient is a new spatial difference operator, which not only fulfills the summation by parts (SBP) property, but also implements a continuum reparametrization property. Using the time evolution of a heavy-quark anti-quark bound state in a hot thermal medium as an explicit example, we show how the reparametrization neutral summation-by-parts (RN-SBP) operator enables an accurate simulation of the full dissipative dynamics of this open quantum system.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Time integration
- Initial boundary value problems
- Dissipative systems
- Open quantum systems
- Summation-by-parts operators
- Mimetic operator
Publication and Content Type
- ref (subject category)
- art (subject category)
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