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Titel:

Analyzing the Positivity Preservation of Numerical Methods for the Liouville-von Neumann Equation

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Riesch, M.; Jirauschek, C.
Abstract:
The density matrix is a widely used tool in quantum mechanics. In order to determine its evolution with respect to time, the Liouville-von Neumann equation must be solved. However, analytic solutions of this differential equation exist only for simple cases. Additionally, if the the equation is coupled to Maxwell's equations to model light-matter interaction, the resulting equation set -- the Maxwell-Bloch or Maxwell-Liouville-von Neumann (MLN) equations -- becomes nonlinear. In these advanced c...     »
Stichworte:
Quantum physics, computational physics
Zeitschriftentitel:
J. Comp. Phys, arXiv.org > quant-ph > arXiv:1808.00416 2018-08
Jahr:
2018
Jahr / Monat:
2018-08
Quartal:
3. Quartal
Monat:
Aug
Sprache:
en
Volltext / DOI:
doi:10.1016/j.jcp.2019.04.006
WWW:
https://arxiv.org/abs/1808.00416
Verlag / Institution:
Cornell University Library,
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