Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory

Details Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory

2005-02-09

arxiv.org/abs/cond-mat/0502251v1

Phys. Rev. Lett. 95, 010403 (2005)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.010403

We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs $n$ internal states of atoms and laser assisted state sensitive tunneling. Thus, dynamics are communicated by unitary $n\times n$-matrices. By experimental control of the tunneling parameters, the system can be made truly non-Abelian. We show that single particle dynamics in the case of intense U(2) vector potentials lead to a generalized Hofstadter butterfly spectrum which shows a complex ``moth''-like structure. We discuss the possibility to employ non-Abelian interferometry (Aharonov-Bohm effect) and address methods to realize matter dynamics in specific classes of lattice gauge fields.

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