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Wilson fermions and axion electrodynamics in optical lattices

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Bermúdez, A. and Mazza, L. and Rizzi, M. and Goldman, N. and Lewenstein, M. and Martin-Delgado Alcántara, Miguel Ángel (2010) Wilson fermions and axion electrodynamics in optical lattices. Physical review letters, 105 (19). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.105.190404


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Abstract

We show that ultracold Fermi gases in optical superlattices can be used as quantum simulators of relativistic lattice fermions in 3 þ 1 dimensions. By exploiting laser-assisted tunneling, we find an analogue of the so-called naive Dirac fermions, and thus provide a realization of the fermion doubling problem. Moreover, we show how to implement Wilson fermions, and discuss how their mass can be inverted by tuning the laser intensities. In this regime, our atomic gas corresponds to a phase of matter where Maxwell electrodynamics is replaced by axion electrodynamics: a 3D topological insulator.


Item Type:Article
Additional Information:

© 2010 The American Physical Society. A. B. and M. A. M. D. thank FIS2009-10061, CAM QUITEMAD, FET-7 PICC, GICC-910758, and FPU. M. R. acknowledges IP AQUTE. N. G. thanks the F.R.S-F.N.R.S. M. L. acknowledges FIS2008-00784 and QOIT, NAMEQUAM, QUAGATUA, and the Humboldt Foundation. L. M. and M. R. thank J. I. Cirac and U. Schneider for discussions about the superlattice setup.

Uncontrolled Keywords:Magnetic-fields; Ultracold gases; Surfaces-states; Neutral atoms; Condensate; Invariance; Physics.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47969
Deposited On:13 Jun 2018 11:21
Last Modified:13 Jun 2018 14:57

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