By considering vibrational heating of an intracavity trapped ion and cavity damping, we investigate the effects of decoherence on entanglement and two-mode squeezing of output light from the cavity when the ion is excited continuously. It is found that the bright output light with the steady robust entanglement can be always achieved even in the presence of decoherence. Moreover, the entangled output light may not exhibit two-mode squeezing because the heating of the vibrational mode has stronger limitation on the two-...
