Discrete bright solitons in Bose-Einstein condensates and dimensional reduction in quantum field theory

@article{Salasnich2014DiscreteBS,
  title={Discrete bright solitons in Bose-Einstein condensates and dimensional reduction in quantum field theory},
  author={Luca Salasnich},
  journal={arXiv: Quantum Gases},
  year={2014}
}
  • L. Salasnich
  • Published 1 November 2014
  • Physics
  • arXiv: Quantum Gases
We first review the derivation of an effective one-dimensional (1D) discrete nonpolynomial Schr\"odinger equation from the continuous 3D Gross-Pitaevskii equation with transverse harmonic confinement and axial periodic potential. Then we study the bright solitons obtained from this discrete nonpolynomial equation showing that they give rise to the collapse of the condensate above a critical attractive strength. We also investigate the dimensional reduction of a bosonic quantum field theory… Expand

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