  We propose a scheme for spin-squeezing in the orbital motion of a
Bose-Einstein condensate (BEC) in a toroidal trap. A circular lattice couples
two counter-rotating modes and squeezing is generated by the nonlinear
interaction spatially modulated at half the lattice period. By varying the
amplitude and phase of the modulation, various cases of the twisting tensor can
be directly realized, leading to different squeezing regimes. These include
one-axis twisting and the two-axis counter-twisting which are often discussed
as the most important paradigms for spin squeezing. Our scheme naturally
realizes the Lipkin-Meshkov-Glick model with the freedom to vary all its
parameters simultaneously.
