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This paper proposes a simple setup for introducing an artificial magneticfield for neutral atoms in 2D optical lattices. This setup is based on thephenomenon of photon-assisted tunneling and involves a low-frequency periodicdriving of the optical lattice. This low-frequency driving does not affect theelectronic structure of the atom and can be easily realized by the same meanswhich employed to create the lattice. We also address the problem of detectingthis effective magnetic field. In particular, we study the center of masswave-packet dynamics, which is shown to exhibit certain features of cyclotrondynamics of a classical charged particle.

Creating artificial magnetic fields for cold atoms by photon-assisted tunneling