# Mainz 2017 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 31: Poster: Quantum Optics and Photonics I

### Q 31.41: Poster

### Dienstag, 7. März 2017, 17:00–19:00, P OG1+2

**Enhancing the sensitivity of single photon recoils in spectroscopy with non-classical states** — •Marius Schulte^{1}, Niels Lörch^{2}, Piet. O. Schmidt^{3,4}, and Klemens Hammerer^{1} — ^{1}Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), Leibniz University Hannover, Callinstrasse 38, 30167 Hannover, Germany — ^{2}Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland — ^{3}QUEST Institut, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany — ^{4}Institute for Quantum Optics, Leibniz University Hannover, Welfengarten 1, 30167 Hannover, Germany

The sensitivity in measuring displacements in phase space based on absorbed photons in spectroscopy is discussed. Non-classical squeezed states, cat states and small linear combinations of Fock states are shown to result in an enhancement of sensitivity, compared to the ground state of motion. A theoretical model gives the dynamics of photon recoil spectroscopy in terms of a Fokker-Planck equation thereby including incoherent processes allowing to compare the stability of spectroscopy states with respect to additional diffusion. This also predicts Doppler effects leading to systematic shifts in the observed resonance frequency. Limitations on the sensitivity based on imperfect state preparation and the attainable quantum Fisher information are discussed.