Finer sub-Planck structures and displacement sensitivity of SU(1,1) circular states
This work constructs N-component SU(1,1) compass states by superposing N coherent states symmetrically on a disk. These states possess isotropic sub-Planck structures, leading to an isotropic enhancement in sensitivity to phase-space displacements that increases with N. This demonstrates a higher degree of sub-Planckness and improved displacement sensitivity compared to traditional compass states.