Sub-Planck phase-space structures and Heisenberg-limited measurements
Sub-Planck phase-space structures and Heisenberg-limited measurements
We show how sub-Planck phase-space structures in the Wigner function can be used to achieve Heisenberg-limited sensitivity in weak force measurements. Nonclassical states of harmonic oscillators, consisting of superpositions of coherent states, are shown to be useful for the measurement of weak forces that cause translations or rotations in phase …