University of Heidelberg > Institute of Physical Chemistry > Theoretical Chemistry
Optimal lattice models
Lieb-Liniger model
NOTE: This website is outdated. I am no longer in Heidelberg
Dr. K. Sakmann
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In Heidelberg I was working a PhD student and Postdoc on Bose-Einstein condensates, in particular on methods to obtain variationally optimal solutions of the many-body Schrödinger equation. Thereby, we could provide numerically exact solutions of the time-dependent many-boson Schrödinger equation using the MCTDHB package of which I am a developer. We also invented variationally optimal lattice models, i.e. lattice models that are based entirely on the principle of least action. These provide a great computational advantage over conventional lattice models. We showed this by comparing the Bose-Hubbard model to the variationally optimal Bose-Hubbard model. A while ago, we investigated the ground state of the Lieb-Liniger system as a model for a Bose-Einstein condensates on a ring.

[Uni Heidelberg] [Institute of Physical Chemistry] [Theoretical Chemistry]