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Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 51: Ultra-cold atoms, ions and BEC III

Q 51.3: Talk

Thursday, March 15, 2012, 14:30–14:45, V47.02

Quantum Simulation of Frustrated Quantum Ising models with cold ion crystals — •Alejandro Bermudez1, Javier Almeida1, Ferdinand Schmidt-Kaler2, Alex Retzker1, and Martin Plenio11Institut fur Theoretische Physik, Albert-Einstein Allee 11, Universita *t Ulm, 89069 Ulm, Germany — 2Institut fur Physik, Staudingerweg 7, Johannes Gutenberg-Universita *t Mainz, 55099 Mainz, Germany

In this talk, I will describe how to exploit the geometry of cold-ion crystals to build a quantum simulator capable of exploring the interplay between magnetic frustration and long-ranged interactions. By modifying the anisotropy of the trapping frequencies, a number of ladder compounds can be synthetized, which give access to different frustrated quantum Ising models. I will pay special attention to the so-called zigzag ladder, which yields a neat realization of a paradigm of quantum frustration: the J1-J2 quantum Ising model [1]. I will discuss how the ordered phases are modified by the presence of the dipolar range of interactions typical of trapped-ion setups.

[1] A. Bermudez, J. Almeida, F. Schmidt-Kaler, A. Retzker, and M. B. Plenio, Phys. Rev. Lett. 107, 207209 (2011).

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