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On Tight Binding Approximations in Optical lattice

Mark J. Ablowitz Department of Applied Mathematics, University of Colorado, Boulder CO 80309 Christopher W. Curtis University of Colorado, Boulder CO 80309 Yi Zhu Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43004

2012.1
The validity of using the tight-binding approximation for the nonlinear Schrödinger equations with a two-dimensional optical lattice is considered. This work provides a rigorous foundation for a technique based on “orbital” functions that is central to solid-state physics and nonlinear optics. Simple and honeycomb lattices are addressed, and it is therefore shown that the use of tight-binding approximations is justified in complicated situations.
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[ Download ] [ 2022-04-21 11:25:10 uploaded by yizhu ] [ 749 downloads ] [ 0 comments ] 
@inproceedings{mark2012on,
  title={On Tight Binding Approximations in Optical lattice},
  author={Mark J. Ablowitz, Christopher W. Curtis, and Yi Zhu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421112510493892080},
  year={2012},
}
Mark J. Ablowitz, Christopher W. Curtis, and Yi Zhu. On Tight Binding Approximations in Optical lattice. 2012. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421112510493892080.
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