Hamburg 2009 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 47: Quantengase: Gitter und Tunneln I

Q 47.3: Vortrag

Donnerstag, 5. März 2009, 14:30–14:45, Audi-A

The non-Abelian Ring: Interferometer & Josephson Effects — •Michael Merkl¹, Frank E. Zimmer¹, Patrik Ohberg¹, and Gediminas Juzeliunas² — ¹Heriot-Watt University, EH14 4AS Edinburgh, UK — ²Vilnus University, 01108 Vilnius, Lithuania

In this work we consider optically induced non-trivial gauge potentials for the external motion of cold atoms. In the electromagnetically induced transparency (EIT) regime this can be achieved if the system stays in certain eigenstates, so called dark states. The resulting vector potential can be non-Abelian for a set of two degenerated dark states [1]. Non-Abelian vector potentials gives us a tool to investigate connections to very different areas of physics in the framework of cold atoms. The spacial shape of the trap and restriction to one dimension is the key technique used with non-Abelian potentials to observe a wide range of phenomenona [2]. In the present talk, we consider a non-Abelian ring in detail. Herby two limits are of interest. A interferometer set up, where small wave packets move in both directions, and the completely filled ring. The dynamics in the latter leads naturally to an exact description by Josephson equations which show non-trivial oscillations in the time and spacial domain.

[1] J. Ruseckas, G.Juzeliūnas, P Öhberg and M. Fleischhauer, PRL 95, 010404 (2005)

[2] M. Merkl, F.E. Zimmer, G. Juzeliūnas and P. Öhberg, EPL 83, 54002 (2008)