A tomographic approach to non-Markovian master equations

Details A tomographic approach to non-Markovian master equations A tomographic approach to non-Markovian master equations

2010-05-25

arxiv.org/abs/1005.4572v2

J. Phys. A: Math. Theor. 43 (2010) 395303 (13pp)

Physics

Quantum Physics

15 pages, 2 figures

Scientific paper

10.1088/1751-8113/43/39/395303

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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