6533b834fe1ef96bd129ce4a
RESEARCH PRODUCT
A tomographic approach to non-Markovian master equations
Giulia GualdiGiulia GualdiBruno BellomoBruno BellomoAntonella De PasqualeUgo MarzolinoUgo Marzolinosubject
Statistics and ProbabilityQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciComputer scienceGaussianFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsFunction (mathematics)symbols.namesakeTomography Gaussian evolutionModeling and SimulationMaster equationsymbolsApplied mathematicsTomographyDifferential (infinitesimal)Quantum Physics (quant-ph)Finite setMathematical PhysicsHarmonic oscillatorSymplectic geometrydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 |