State-dependent motional squeezing of a trapped ion: Proposed method and applications

@article{Drechsler2019StatedependentMS,
  title={State-dependent motional squeezing of a trapped ion: Proposed method and applications},
  author={Mart{\'i}n Drechsler and M. Bel{\'e}n Far{\'i}as and Nahuel Freitas and Christian T. Schmiegelow and Juan Pablo Paz},
  journal={Physical Review A},
  year={2019},
  volume={101},
  pages={052331}
}
We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. The method we propose is reversible (unitary) and state selective: it effectively implements a controlled-squeeze gate. This resource could be useful for quantum information processing with continuous variables. We show that the controlled-squeeze gate can prepare coherent superpositions of states which are squeezed along complementary quadratures… 

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