0 30 92 85 v 1 1 1 Se p 20 03 Nonlinear Tight-Binding Approximation for Bose-Einstein Condensates in a Lattice

@inproceedings{Smerzi2003039,
  title={0 30 92 85 v 1 1 1 Se p 20 03 Nonlinear Tight-Binding Approximation for Bose-Einstein Condensates in a Lattice},
  author={Augusto Smerzi and A. Trombettoni},
  year={2003}
}
The dynamics of Bose-Einstein condensates trapped in a deep optical lattice is governed by a discrete nonlinear equation (DNL). Its degree of nonlinearity and the intersite hopping rates are retrieved from a nonlinear tight-binding approximation taking into account the effective dimensionality of each conden-sate. We derive analytically the Bloch and the Bogoliubov excitation spectra, and the velocity of sound waves emitted by a traveling condensate. Within a Lagrangian formalism, we obtain… CONTINUE READING

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