Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
Fabian Wolf, Chunyan Shi, Jan C. Heip, Manuel Gessner, Luca Pezzè, Augusto Smerzi, Marius Schulte, Klemens Hammerer & Piet O. Schmidt
In collaboration with Augusto Smerzis group and Klemens Hammerers group, we have realized a metrological scheme based on motional Fock states to measure the amplitude and phase of the oscillation of a trapped ion with sensitivities below the standard quantum limit. In comparison to squeezed states or Schrödinger cat states the employed Fock states provide a metrological gain for displacement sensing independent of the displacement's direction in phase space.
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