  We reckon the behaviour of spin squeezing in tripartite unsqueezed maximally
entangled Green- berger-Horne-Zeilinger (GHZ) and W states under various
decoherence channels with Kitagawa- Ueda (KU) criteria. In order to search spin
squeezing sudden death (SSSD) and signatures of spin squeezing production we
use bit flip, phase flip, bit-phase-flip, amplitude damping, phase damping and
depolarization channels in the present study. In literature, the influence of
decoherence has been studied as a destroying element. On the contrary here we
investigate the positive aspect of decoherence, which produce spin squeezing in
unsqueezed GHZ and W states under certain channels. Our meticulous study shows
that GHZ state remain unsqueezed under aforementioned channels except
bit-phase-flip and depolarization channels. While all the decoherence channels
produce spin squeezing in W state. So we find, GHZ is more robust in comparison
to W state in the sense of spin squeezing production under decoherence. Most
importantly we find that none of the decoherence channel produce SSSD in any
one of the state.
