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Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices

Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices

Authors :
Juan José García-Ripoll
Jordi Mur-Petit
Jiannis K. Pachos
Emilio Alba
Xavier Fernandez-Gonzalvo
Source :
Digital.CSIC. Repositorio Institucional del CSIC, instname
Publication Year :
2013
Publisher :
Academic Press, 2013.

Abstract

In this work we present an optical lattice setup to realize a full Dirac Hamiltonian in 2+1 dimensions. We show how all possible external potentials coupled to the Dirac field can arise from perturbations of the existing couplings of the honeycomb lattice pattern. This greatly simplifies the proposed implementations, requiring only spatial modulations of the intensity of the laser beams to induce complex non-Abelian potentials. We finally suggest several experiments to observe the properties of the quantum field theory in the setup. © 2012 Elsevier Inc.<br />This work has been funded by Spanish MICINN Project FIS2009-10061, FPU grant No.AP 2009-1761, CAM research consortium QUITEMAD S2009- ESP-1594, a Marie Curie Intra European Fellowship, CSIC Grant JAE-INT- 1072, the POLATOM network and the Royal Society.

Details

Database :
OpenAIRE
Journal :
Digital.CSIC. Repositorio Institucional del CSIC, instname
Accession number :
edsair.doi.dedup.....5c9b65c0fe152c26e40f2df0da3f8516