Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 23: Precision Spectrosocopy III - trapped ions (joint session A/Q)
Q 23.4: Talk
Monday, March 5, 2018, 17:15–17:30, K 1.016
Fock state interferometry: The single ion quantum pendulum — •Fabian Wolf1, Chunyan Shi1, Jan C. Heip1, Manuel Gessner2, Luca Pezzè2, Augusto Smerzi2, Marius Schulte3, Klemens Hammerer3, and Piet O. Schmidt1,4 — 1Physikalisch-Technische Bundesanstalt, Braunschweig, Germany — 2QSTAR, INO-CNR and LENS, Firenze, Italy — 3Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Leibniz Universität, Hannover, Germany — 4Institut für Quantenoptik, Leibniz Universität, Hannover, Germany
The motion of a single trapped ion constitutes a physical implementation of the quantum mechanical harmonic oscillator that is controllable on the single quantum level.
We demonstrate frequency and amplitude measurements of this "quantum pendulum" with sensitivities below what is achievable with its classical counterpart.
For this purpose we prepare the ion in motional Fock states. The non-classical features of these states provide metrological gain independent of the relative phase of the ion’s oscillation with respect to the local oscillator, which is a major advantage over non-classical probing schemes based on squeezing or Schrödinger cat states and allows quantum-enhanced probing of two conjugate variables with the same state. We present a metrological analysis of our probing scheme based on the Fisher information and via an Allan-deviation analysis for both a trapping frequency and an oscillation amplitude measurement.