Three approaches for representing Lindblad dynamics by a matrix-vector notation
Quantum Physics
2015-12-11 v2
Abstract
Markovian dynamics of open quantum systems are described by the L-GKS equation, known also as the Lindblad equation. The equation is expressed by means of left and right matrix multiplications. This formulation hampers numerical implementations. Representing the dynamics by a matrix-vector notation overcomes this problem. We review three approaches to obtain such a representation. The methods are demonstrated for a driven two-level system subject to spontaneous emission.
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Cite
@article{arxiv.1510.08634,
title = {Three approaches for representing Lindblad dynamics by a matrix-vector notation},
author = {Morag Am-Shallem and Amikam Levy and Ido Schaefer and Ronnie Kosloff},
journal= {arXiv preprint arXiv:1510.08634},
year = {2015}
}
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17 pages