Eur. Phys. J. D 63, 47-53 (2011)
https://doi.org/10.1140/epjd/e2010-10554-7

Regular Article

Effective spin model for interband transport in a Wannier-Stark lattice system

¹ Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120 Heidelberg, Germany
² Département de Physique, Université de Liège, 4000 Liège, Belgium

^a e-mail: ploetz@thphys.uni-heidelberg.de

Received: 29 September 2010
Received in final form: 22 October 2010
Published online: 3 December 2010

Abstract

We show that the interband dynamics in a tilted two-band Bose-Hubbard model can be reduced to an analytically accessible spin model in the case of resonant interband oscillations. This allows us to predict the revival time of these oscillations which decay and revive due to inter-particle interactions. The presented mapping onto the spin model and the so achieved reduction of complexity has interesting perspectives for future studies of many-body systems.