Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 26: Ultra-cold atoms, ions and BEC III (with A)

Q 26.2: Talk

Tuesday, March 19, 2013, 11:15–11:30, B 302

Transport spectroscopy in the Bose-Hubbard model — •Christian Nietner — Technische Universität Berlin

Motivated by recent experiments [1] we consider a Bose-Hubbard model with a single defect lattice site. This defect is weakly coupled to the surrounding which gives rise to bosonic currents through the defect. In order to describe these defect currents we develop a Lindblad master equation. We treat the remaining bosonic lattice as an effective bath for the defect and obtain a rate equation which depends on the 2-point correlation functions of the Bose-Hubbard model. To calculate these quantities we follow the approach outlined in Ref. [2]. Finally, we obtain defect currents which show signatures of the Mott phase and allow transport spectroscopy of the energy gap.

[1] T. Gericke, P. Würtz, D. Reitz, T. Langen et. al., Nature Physics 4, 949 (2008)

[2] B. Bradlyn, F. E. A. dos Santos, and A. Pelster, Phys. Rev. A 79, 013615 (2009)