Characterization of Bose-Hubbard models with quantum nondemolition measurements

  title={Characterization of Bose-Hubbard models with quantum nondemolition measurements},
  author={Benjamin Rogers and Mauro Paternostro and Jacob Friis Sherson and Gabriele De Chiara},
  journal={Physical Review A},
We propose a scheme for the detection of quantum phase transitions in the 1D Bose-Hubbard (BH) and 1D Extended Bose-Hubbard (EBH) models, using the non-demolition measurement technique of quantum polarization spectroscopy. We use collective measurements of the effective total angular momentum of a particular spatial mode to characterise the Mott insulator to superfluid phase transition in the BH model, and the transition to a density wave state in the EBH model. We extend the application of… 

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