Sub-Planck phase-space structures and Heisenberg-limited measurements

Details Sub-Planck phase-space structures and Heisenberg-limited measurements Sub-Planck phase-space structures and Heisenberg-limited measurements

2005-08-11

arxiv.org/abs/quant-ph/0508093v3

Phys. Rev. A 73, 023803 (2006)

Physics

Quantum Physics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.023803

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 space, which is done by entangling the quantum oscillator with a two-level system. Implementations of this strategy in cavity QED and ion traps are described.

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