@article{brown2008pra,
  title = {Ratchet effect in an optical lattice with biharmonic driving: A numerical analysis},
  author = {Brown, M. and Renzoni, F.},
  journal = {Phys. Rev. A},
  volume = {77},
  issue = {3},
  pages = {033405},
  numpages = {6},
  year = {2008},
  month = {Mar},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevA.77.033405},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.77.033405}
}