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DOI

Band structure calculations for an optical lattice

Here I present code to construct the single particle eigentstates in an sinusoidal potential, such as that created by an optical lattice. We define methods to calculate the band structure and implement interpolation functions of the obtained results to speed up subsequent calculations.

The Wannier states in the lattice are constructed starting from the eigen- states of the Hamiltonian.

The tunneling matrix element and the on-site interactions, relevant for the Hubbard model are calculated.

Contributors

This software was written by Pedro M. Duarte

License

The MIT License (MIT)

Copyright (c) [2014] [Pedro M Duarte]

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.