Simulation and detection of Dirac fermions with cold atoms in an optical lattice

Abstract

We propose an experimental scheme to simulate and observe relativistic Dirac fermions with cold atoms in a hexagonal optical lattice. By controlling the lattice anisotropy, one can realize both massive and massless Dirac fermions and observe the phase transition between them. Through explicit calculations, we show that both the Bragg spectroscopy and the atomic density profile in a trap can be used to demonstrate the Dirac fermions and the associated phase transition.

4 pages; Published version

References in corpus (8)

• Chiral tunneling and the Klein paradox in graphene
• Unconventional Integer Quantum Hall effect in graphene
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Phase analysis of quantum oscillations in graphite
• Spin Hall effects for cold atoms in a light induced gauge potential
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Phase diagram of a polarized Fermi gas across a Feshbach resonance in a potential trap

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• Quantized electromagnetic response of three-dimensional chiral topological insulators
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