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Title:

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

Document type:
Zeitschriftenaufsatz
Author(s):
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 cas...     »
Keywords:
Liouville-von Neumann equation Maxwell-Liouville-von Neumann (MLN) equations Density matrix Numerical methods Quantum mechanics
Journal title:
J. Comput. Phys. 390, 290–296 2019-04
Year:
2019
Year / month:
2019-04
Quarter:
2. Quartal
Month:
Apr
Language:
en
Fulltext / DOI:
doi:10.1016/j.jcp.2019.04.006
WWW:
https://www.sciencedirect.com/science/article/pii/S0021999119302396
Publisher:
Elsevier B.V.
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