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Realization of the driven nonlinear Schr\"odinger equation with stationary light

Quantum Physics 2015-03-20 v3 Quantum Gases Optics

Abstract

We introduce a versatile platform for studying nonlinear out-of-equilibrium physics. The platform is based on a slow light setup where an optical waveguide is interfaced with cold atoms to realize the driven nonlinear Schr\"odinger equation with a potential. We compare the proposed setup with similar setups using Bose-Einstein condensates and investigate the system's response under coherent driving for a lattice potential. The slow light setup provides novel angles in the study of nonlinear dynamics due to its advantages in introducing and modulating the driving, the extra tunability over the sign and strength of the available nonlinearities, and the possibility to electromagnetically carve out the underlying potential on demand.

Keywords

Cite

@article{arxiv.1208.0313,
  title  = {Realization of the driven nonlinear Schr\"odinger equation with stationary light},
  author = {Priyam Das and Changsuk Noh and Dimitris G. Angelakis},
  journal= {arXiv preprint arXiv:1208.0313},
  year   = {2015}
}

Comments

6 pages, 7 figures, revised version; new result added