Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
arXiv:2011.07139 · doi:10.1103/PhysRevA.103.043302
Abstract
We study ultracold color fermions with three internal states Red, Green and Blue with symmetry in optical lattices, when color-orbit coupling and color-flip fields are present. This system corresponds to a generalization of two-internal state fermions with symmetry in the presence of spin-orbit coupling and spin-flipping Zeeman fields. We investigate the eigenspectrum and Chern numbers to describe different topological phases that emerge in the phase diagrams of color-orbit coupled fermions in optical lattices. We obtain the phases as a function of artificial magnetic, color-orbit and color-flip fields that can be independently controlled. For fixed artificial magnetic flux ratio, we identify topological quantum phases and phase transitions in the phase diagrams of chemical potential versus color-flip fields or color-orbit coupling, where the chirality and number of midgap edge states changes. The topologically non-trivial phases are classified in three groups: the first group has total non-zero chirality and exhibit only the quantum charge Hall effect; the second group has total non-zero chirality and exhibit both quantum charge and quantum color Hall effects; and the third group has total zero chirality, but exhibit the quantum color Hall effect. These phases are generalizations of the quantum Hall and quantum spin Hall phases for charged spin- fermions. Lastly, we also describe the color density of states and a staircase structure in the total and color filling factors versus chemical potential for fixed color-orbit, color-flip and magnetic flux ratio. We show the existence of incompressible states at rational filling factors precisely given by a gap-labelling theorem that relates the filling factors to the magnetic flux ratio and topological quantum numbers.
arXiv comment15 pages, 4 figures
References in corpus (36)
- Topological Order and the Quantum Spin Hall Effect
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Experimental realisation of the topological Haldane model
- Quantum Spin Hall Effect
- A spin-orbit coupled Bose-Einstein condensate
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Synthetic magnetic fields for ultracold neutral atoms
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- A one-dimensional liquid of fermions with tunable spin
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Degenerate Fermi Gases of Ytterbium
- Realization of SU(2)*SU(6) Fermi System
- Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
- Nondissipative Spin Hall Effect via Quantized Edge Transport
- Degenerate Fermi Gas of Sr
- Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
- Direct imaging of topological edge states in cold-atom systems
- Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
- Direct probing of the Mott crossover in the SU() Fermi-Hubbard model
- A strongly interacting gas of two-electron fermions at an orbital Feshbach resonance
- Tomography of band insulators from quench dynamics
- Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
- Double-degenerate Bose-Fermi mixture of strontium
- Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
- Chern numbers hiding in time-of-flight images
- Detection and manipulation of nuclear spin states in fermionic strontium
- Artificial gauge fields with ultracold atoms
- Color superfluidity of neutral ultra-cold fermions in the presence of color-flip and color-orbit fields
- Nematic-orbit coupling and nematic density waves in spin-1 condensates
- Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields