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Interacting Wannier functions in a superlattice: An iterative method

Jens Samland*

  • *Contact author: iterativeInteractingWannier@gmx.net
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Phys. Rev. A 112, 053325 – Published 25 November, 2025

DOI: https://doi.org/10.1103/4s97-x2h7

Abstract

We present a method to compute interacting Wannier functions in an optical superlattice for cold atom gas experiments. We start from a noninteracting Wannier function obtained from the band projected position operator method and perform Trotter method to compute the interacting Wannier function. Then, we use this function to compute the on-site interaction strength in a superlattice, compare the result to a measurement, and find good agreement between simulation and data.

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Phys. Rev. A 112, 053325– Published 25 November, 2025
  • Received 27 January 2025
  • Revised 2 September 2025
  • Accepted 7 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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