  Spin squeezing is vitally important in quantum metrology and quantum
information science. The noise reduction resulting from spin squeezing can
surpass the standard quantum limit and even reach the Heisenberg Limit (HL) in
some special circumstances. However, systems that can reach the HL are very
limited. Here we study the spin squeezing in atomic systems with a generic form
of quadratic collective-spin interaction, which can be described by the
Lipkin-Meshkov-Glick(LMG) model. We find that the squeezing properties are
determined by the initial states and the anisotropic parameters. Moreover, we
propose a pulse rotation scheme to transform the model into two-axis twisting
model with Heisenberg-limited spin squeezing. Our study paves the way for
reaching HL in a broad variety of systems.
