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.

arXiv comment4 pages; Published version

References in corpus (22)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Cold bosonic atoms in optical lattices
• Unconventional Integer Quantum Hall effect in graphene
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Fractional quantum Hall states of atoms in optical Lattices
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Phase analysis of quantum oscillations in graphite
• Spin Hall effects for cold atoms in a light induced gauge potential
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Slow light in degenerate Fermi gases
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Phase diagram of a polarized Fermi gas across a Feshbach resonance in a potential trap

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