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arXiv · 1005.4572

A tomographic approach to non-Markovian master equations

Bruno Bellomo·Antonella De Pasquale·Giulia Gualdi·Ugo Marzolino
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Abstract

We propose a procedure based on symplectic tomography for reconstructing the unknown parameters of a convolutionless non-Markovian Gaussian noisy evolution. Whenever the time-dependent master equation coefficients are given as a function of some unknown time-independent parameters, we show that these parameters can be reconstructed by means of a finite number of tomograms. Two different approaches towards reconstruction, integral and differential, are presented and applied to a benchmark model made of a harmonic oscillator coupled to a bosonic bath. For this model the number of tomograms needed to retrieve the unknown parameters is explicitly computed.

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Bruno Bellomo, Antonella De Pasquale, Giulia Gualdi, Ugo Marzolino. 2010-05-25. A tomographic approach to non-Markovian master equations. https://doi.org/10.1088/1751-8113/43/39/395303

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