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Many-Body Schrödinger Dynamics of Bose-Einstein Condensates pp 33–38Cite as

Lattice Models for the Quantum Dynamics of Identical Bosons

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Abstract

In this chapter, we discuss models that are popular in the description of ultracold bosons in (quasi-) periodic potentials, namely the Bose–Hubbard model and the discrete nonlinear Schrödinger equation. These two methods have in common that both employ Wannier functions as a single-particle basis. For our purposes it will be sufficient to restrict the discussion to the case of 1D-double-well potentials. We begin with a discussion of the Wannier functions and the parameters that appear in the two models.

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Authors and Affiliations

  1. Theoretical Chemistry Group, Institute of Physical Chemistry, Heidelberg University, Im Neuenheimer Feld 229, 69120, Heidelberg, Germany

    Kaspar Sakmann

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  1. Kaspar Sakmann
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Correspondence to Kaspar Sakmann .

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Sakmann, K. (2011). Lattice Models for the Quantum Dynamics of Identical Bosons. In: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22866-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-22866-7_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22865-0

  • Online ISBN: 978-3-642-22866-7

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