Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential

Abstract

The method of synthetic gauge potentials opens up a new avenue for our understanding and discovering novel quantum states of matter. We investigate the topological quantum phase transition of Fermi gases trapped in a honeycomb lattice in the presence of a synthetic non- Abelian gauge potential. We develop a systematic fermionic effective field theory to describe a topological quantum phase transition tuned by the non-Abelian gauge potential and ex- plore its various important experimental consequences. Numerical calculations on lattice scales are performed to compare with the results achieved by the fermionic effective field theory. Several possible experimental detection methods of topological quantum phase tran- sition are proposed. In contrast to condensed matter experiments where only gauge invariant quantities can be measured, both gauge invariant and non-gauge invariant quantities can be measured by experimentally generating various non-Abelian gauges corresponding to the same set of Wilson loops.

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Cited by in corpus (11)

• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Pairing sizes in attractively interacting Fermi gases with Spin-orbit Couplings
• Hubbard model with Rashba or Dresselhaus spin-orbit coupling and Rotated Anti-ferromagnetic Heisenberg Model
• Classification of magnons in Rotated Ferromagnetic Heisenberg model and their competing responses in transverse fields
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Topological depletions and sub-leading scalings across topological phase transitions
• High Chern number topological superfluids and new class of topological phase transitions of Rashba spin-orbit coupled fermions on a lattice
• Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• Itinerant magnetism in Weyl spin-orbit coupled Fermi gas