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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 c...     »
Keywords:
Quantum physics, computational physics
Journal title:
J. Comp. Phys, arXiv.org > quant-ph > arXiv:1808.00416 2018-08
Year:
2018
Year / month:
2018-08
Quarter:
3. Quartal
Month:
Aug
Language:
en
Fulltext / DOI:
doi:10.1016/j.jcp.2019.04.006
WWW:
https://arxiv.org/abs/1808.00416
Publisher:
Cornell University Library,
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