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2021 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 425, article id 109917Article in journal (Refereed) Published
Abstract [en]
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.
Place, publisher, year, edition, pages
Elsevier, 2021
Keywords
Time integration, Initial boundary value problems, Dissipative systems, Open quantum systems, Summation-by-parts operators, Mimetic operator
National Category
Computational Mathematics
Identifiers
urn:nbn:se:liu:diva-171869 (URN)10.1016/j.jcp.2020.109917 (DOI)000598924000002 ()
Funder
Swedish Research Council, 2018-05084_VRSwedish e‐Science Research Center, ABL in SESSI
Note
Funding agencies: The work of Y.A. is supported by JSPS KAKENHI Grant Number JP18K13538. O.Å., F.L. and J.N. acknowledge funding from the Swedish Research Council (Stockholm) under grant number 2018-05084_VR and from the Swedish e-Science Research Center (SeRC) through project ABL in SESSI. A.R. acknowledges discussions with M. Riesch and gladly acknowledges support by the Research Council of Norway under the FRIPRO Young Research Talent grant 286883. This work has utilized computing resources provided by UNINETT Sigma2 -the National Infrastructure for High Performance Computing and Data Storage in Norway under project NN9578K-QCDrtX “Real-time dynamics of nuclear matter under extreme conditions”.
2020-12-102020-12-102021-12-28