Shaking the entropy out of a lattice: Atomic filtering by vibrational excitations

@article{Tichy2012ShakingTE,
  title={Shaking the entropy out of a lattice: Atomic filtering by vibrational excitations},
  author={Malte Christopher Tichy and Klaus M{\o}lmer and Jacob Friis Sherson},
  journal={Physical Review A},
  year={2012},
  volume={86},
  pages={033618}
}
We present a simple and efficient scheme to reduce atom-number fluctuations in optical lattices. The interaction-energy difference for atoms in different vibrational states is used to remove excess atomic occupation. The remaining vacant sites are then filled with atoms by merging adjacent wells, for which we implement a protocol that circumvents the constraints of unitarity. The preparation of large regions with precisely one atom per lattice site is discussed for both bosons and fermions. The… 

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