Pseudomode method and deformation approach to quantum non-Markovian evolution

The formulation of the pseudomode method in terms of Gorini–Kossakowski–Sudarshan–Lindblad equation for a density matrix in a finite-dimensional Hilbert space is suggested. The connection of this method with solutions for the Friedrichs model and zero-temperature Jaynes–Cummings model with dissipation is discussed. The deformation approach to generalization of the pseudomode method for finite temperatures is suggested. The obtained results are applied to describe the non-Markovian phenomena in Fenna-Matthews-Olson complexes