Luttinger liquid of polarons in one-dimensional boson-fermion mixtures.

  title={Luttinger liquid of polarons in one-dimensional boson-fermion mixtures.},
  author={Ludwig Mathey and D Wang and Walter Hofstetter and Mikhail D. Lukin and Eugene A. Demler},
  journal={Physical review letters},
  volume={93 12},
We use the bosonization approach to investigate quantum phases of boson-fermion mixtures (BFM) of atoms confined to one dimension by an anisotropic optical lattice. For a BFM with a single species of fermions we find a charge-density wave phase, a fermion pairing phase, and a phase separation regime. We also obtain the rich phase diagram of a BFM with two species of fermions. We demonstrate that these phase diagrams can be understood in terms of polarons, i.e., atoms "dressed" by screening… CONTINUE READING

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