Cold atoms in non-Abelian gauge potentials: from the Hofstadter "moth" to lattice gauge theory |
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Authors: | Osterloh K Baig M Santos L Zoller P Lewenstein M |
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Affiliation: | Institut für Theoretische Physik, Universit?t Hannover, D-30167 Hannover, Germany. |
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Abstract: | We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs atoms with k internal states, and laser assisted state sensitive tunneling, described by unitary k x k matrices. The single-particle dynamics in the case of intense U2 vector potentials lead to a generalized Hofstadter butterfly spectrum which shows a complex mothlike structure. We discuss the possibility to realize non-Abelian interferometry (Aharonov-Bohm effect) and to study many-body dynamics of ultracold matter in external lattice gauge fields. |
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