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arXiv · 1510.08634

Three approaches for representing Lindblad dynamics by a matrix-vector notation

Morag Am-Shallem·Amikam Levy·Ido Schaefer·Ronnie Kosloff
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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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Morag Am-Shallem, Amikam Levy, Ido Schaefer, Ronnie Kosloff. 2015-12-10. Three approaches for representing Lindblad dynamics by a matrix-vector notation. https://arxiv.org/abs/1510.08634

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