Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
We investigate the sub-Planck-scale structures associated with the SU(1,1) group by establishing that the Planck scale on the hyperbolic plane can be considered as the inverse of the Bargmann index $k$. Our discussion involves SU(1,1) versions of Wigner functions, and the quantum-interference effect is easily visualized through plots of these …