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Document type:
Zeitschriftenaufsatz 
Author(s):
Riesch, M.; Jirauschek, C. 
Title:
Analyzing the Positivity Preservation of Numerical Methods for the Liouville-von Neumann Equation 
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 
Publisher:
Cornell University Library,