Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantengase: Optische Gitter 4

Q 46.3: Talk

Thursday, March 15, 2012, 14:30–14:45, V53.01

Simple spin model for many-body resonant tunneling — •Julia Link, Carlos Parra-Murillo, and Sandro Wimberger — Institute for Theoretical Physics and HGSFP, University Heidelberg

Interesting phenomena can be studied by using the Bose-Hubbard model due to the interplay between the kinetic and interparticle interaction energy of ultracold atoms loaded into optical lattices. An example system is the Wannier problem, characterized by the presence of inter- and intraband oscillations arising from an additional tilting (Stark-)force. We consider a two-band model approximation, in which resonant tunneling between the bands is reached at specific values of the tilt. It is shown that the original problem can be mapped onto an effective hamiltonian for a spin-1/2 chain in a transverse magnetic field. This effective model can be integrated analytically, and thus the characteristic revival times of the interband band transitions can be computed in terms of the parameters of the system [1].

[1] P. Plötz, P. Schlagheck, and S. Wimberger, Eur. Phys. J. D 63, 47-53 (2011)