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Solution of the Lindblad equation in Kraus representation

2006

The so-called Lindblad equation, a typical master equation describing the dissipative quantum dynamics, is shown to be solvable for finite-level systems in a compact form without resort to writing it down as a set of equations among matrix elements. The solution is then naturally given in an operator form, known as the Kraus representation. Following a few simple examples, the general applicability of the method is clarified.

PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciLindblad equationFOS: Physical sciencesAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della MateriaThe so-called Lindblad equation a typical master equation describing the dissipative quantum dynamics is shown to be solvable for finite-level systems in a compact form without resort to writing it down as a set of equations among matrix elements. The solution is then naturally given in an operator form known as the Kraus representation. Following a few simple examples the general applicability of the method is clarified.Open quantum systemQuantum processMaster equationDissipative systemQuantum operationMethod of quantum characteristicsQuantum Physics (quant-ph)Quantum statistical mechanicsMathematical physics
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