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

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 model, without the need of additional laser fields. This greatly simplifies the proposed implementations, requiring only spatial modulations of the intensity of the laser beams. We finally suggest several experiments to observe the properties of the Dirac field in the setup.

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Cited by in corpus (16)

• Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
• Topological phase transitions between chiral and helical spin textures in a lattice with spin-orbit coupling and a magnetic field
• Journeys from Quantum Optics to Quantum Technology
• Continuum tensor network field states, path integral representations and the encoding of spatial symmetries
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions
• Landau Levels in Strained Optical Lattices
• Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
• Semimetal-superfluid quantum phase transitions in 2D and 3D lattices with Dirac points
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• Winding number order in the Haldane model with interactions
• Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions
• Dirac particle dynamics of a superconducting circuit
• Quantized valley Hall response from local bulk density variations