Decoherence of spin-deformed bosonic model

•Decoherence of the generalized spin-boson model is considered.•In this model the environment consists of ff-oscillators.•Via the interaction, the state of the environment approaches non-linear coherent states.•Effective parameters on decoherence are considered.

The decoherence rate and some parameters affecting it are investigated for the generalized spin-boson model. We consider the spin-bosonic model when the bosonic environment is modeled by the deformed harmonic oscillators. We show that the state of the environment approaches a non-linear coherent state. Then, we obtain the decoherence rate of a two-level system which is in contact with a deformed bosonic environment which is either in thermal equilibrium or in the ground state. By using some recent realization of ff-deformed oscillators, we show that some physical parameters strongly affect the decoherence rate of a two-level system.