Generation and detection of a sub-Poissonian atom number distribution in a one-dimensional optical lattice
J.-B. B\'eguin, E. Bookjans, S. L. Christensen, H. L. S{\o}rensen, J., H. M\"uller, J. Appel, E. S. Polzik

TL;DR
This paper reports the preparation and detection of a sub-Poissonian atom number distribution in a one-dimensional optical lattice using nanofiber-guided homodyne interferometry, achieving noise reduction below the shot noise level.
Contribution
It introduces a method for generating and measuring sub-Poissonian atom number distributions in a 1D lattice with high precision using nanofiber-based homodyne detection.
Findings
Achieved -14 dB noise reduction below Poissonian level.
Real-time atom number measurement with ±8 atom precision.
Potential for generating entangled and spin-squeezed atomic states.
Abstract
We demonstrate preparation and detection of an atom number distribution in a one-dimensional atomic lattice with the variance dB below the Poissonian noise level. A mesoscopic ensemble containing a few thousand atoms is trapped in the evanescent field of a nanofiber. The atom number is measured through dual-color homodyne interferometry with a pW-power shot noise limited probe. Strong coupling of the evanescent probe guided by the nanofiber allows for a real-time measurement with a precision of atoms on an ensemble of some atoms in a one-dimensional trap. The method is very well suited for generating collective atomic entangled or spin-squeezed states via a quantum non-demolition measurement as well as for tomography of exotic atomic states in a one-dimensional lattice.
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