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

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.

preprint2015arXivOpen access
Morag Am-ShallemAmikam LevyIdo SchaeferRonnie Kosloff
quant-ph
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Morag Am-ShallemAmikam LevyIdo SchaeferRonnie Kosloff

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