Abstract
We provide conditions for the memory kernel governing time non-local quantum master equation which guarantee that the corresponding dynamical map is completely positive and trace-preserving. This approach gives rise to the new parametrization of dynamical maps in terms of two completely positive maps – so called legitimate pair. Actually, this new parameterizations is a natural generalization of Markovian semigroup. Interestingly our class contains recently studied models like semi-Markov evolution and collision models.
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This paper was partially supported by the National Science Center project 2015/17/B/ST2/02026.
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Chruściński, D. (2019). Conditions for Legitimate Memory Kernel Master Equation. In: Marmo, G., Martín de Diego, D., Muñoz Lecanda, M. (eds) Classical and Quantum Physics. Springer Proceedings in Physics, vol 229. Springer, Cham. https://doi.org/10.1007/978-3-030-24748-5_8
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DOI: https://doi.org/10.1007/978-3-030-24748-5_8
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