Stuttgart 2012 – scientific programme
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A: Fachverband Atomphysik
A 34: Kalte Atome: Manipulation und Detektion
A 34.6: Talk
Thursday, March 15, 2012, 15:15–15:30, V7.03
Efficient quantum state tomography of atoms in optical lattices — •Matthias Ohliger1,2, Christian Gogolin1, Vincent Nesme1, and Jens Eisert1 — 1Dahlem center for complex quantum systems, Berlin, Germany — 2Universität Potsdam, Potsdam, Germany
Due to the high level of experimental control, ultra-cold atoms in optical lattices are almost perfectly suited as a model for various many-body systems. We propose a method for efficient quantum state tomography in such settings, relying only on experimentally feasible techniques like super-lattices, laser-speckles, and time-of-flight measurements. We consider the most general situation of an arbitrary quantum states and discuss the simplifications which occur when the state is of low rank or well approximated by a matrix-product state. Furthermore, we introduce a protocol to certify the success of the tomography procedure based on the measured data.