Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition

@article{Mumford2014CriticalEF,
  title={Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition},
  author={Jesse D. Mumford and Duncan H. J. O'Dell},
  journal={Physical Review A},
  year={2014},
  volume={90},
  pages={063617}
}
We use fidelity susceptibility to calculate quantum critical scaling exponents for a system consisting of $N$ identical bosons interacting with a single impurity atom in a double well potential (bosonic Josephson junction). Above a critical value of the boson-impurity interaction energy there is a spontaneous breaking of $\mathbb{Z}_2$ symmetry corresponding to a second order quantum phase transition from a balanced to an imbalanced number of particles in either the left or right hand well. We… Expand

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