  We have studied the effect of a non-Hermitian Bosonic bath on the dynamics of
a two-level spin system. The non-Hermitian Hamiltonian of the bath is chosen
such that it converges to the harmonic oscillator Hamiltonian when the
non-Hermiticity is switched off. We calculate the dynamics of the spin system
and found that the non-Hermiticity can have positive as well as negative
effects on the coherence of the system. However, the decoherence can be
completely eliminated by choosing the non-Hermiticity parameter and the phase
of the system bath interaction appropriately. We have also studied the effect
of this bath on the entanglement of a two-spin system when the bath is acting
only on one spin.
