(3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices

Abstract

We propose the experimental realization of (3+1) relativistic Dirac fermions using ultracold atoms in a rotating optical lattice or, alternatively, in a synthetic magnetic field. This approach has the advantage to give mass to the Dirac fermions by coupling the ultracold atoms to a Bragg pulse. A dimensional crossover from (3+1) to (2+1) Dirac fermions can be obtained by varying the anisotropy of the lattice. We also discuss under which conditions the interatomic potentials give rise to relativistically invariant interactions among the Dirac fermions.

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• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
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• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Dirac Quantum Cellular Automaton from Split-step Quantum Walk
• Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices
• Holographic Fermionic Fixed Points in d=3
• Tunable multiple layered Dirac cones in optical lattices
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Quantum Simulation of Tunneling in Small Systems
• Different models of gravitating Dirac fermions in optical lattices
• PT invariant Weyl semimetals in gauge symmetric systems
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer
• D3-D7 Holographic dual of a perturbed 3D CFT
• Topological van Hove singularities at phase transitions in Weyl metals
• Topological invariants of eigenvalue intersections and decrease of Wannier functions in graphene
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions
• Generating Weyl semimetals from alkali metals
• Synthesis of Majorana mass terms in low-energy quantum systems
• Probing Klein tunneling through quantum quenches
• Holographic entanglement renormalisation for fermionic quantum matter
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model