Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice

Abstract

We propose a scheme to simulate and explore Weyl semimetal physics with ultracold fermionic atoms in a two-dimensional square optical lattice subjected to experimentally realizable spin-orbit coupling and an artificial dimension from an external parameter space, which may increase experimental feasibility compared with the cases in three dimensional optical lattices. It is shown that this system with a tight-binding model is able to describe essentially three-dimensional Weyl semimetals with tunable Weyl points. The relevant topological properties are also addressed by means of the Chern number and the gapless edge states. Furthermore, we illustrate that the mimicked Weyl points can be experimentally detected by measuring the atomic transfer fractions in a Bloch-Zener oscillation, and the characteristic topological invariant can be measured with the particle pumping approach.

10 pages, 6 figures; Fig. 6 with discussions added; accepted by PRA

References in corpus (38)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological response in Weyl semimetals and the chiral anomaly
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Dynamical crystallization in a low-dimensional Rydberg gas
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Direct imaging of topological edge states in cold-atom systems
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• Interferometric approach to measuring band topology in 2D optical lattices
• Topological Weyl Semi-metal from a Lattice Model
• Electric polarization in a Chern insulator
• Observation of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal
• Direct measurement of topological invariants in optical lattices
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Constructing a Weyl semimetal by stacking one dimensional topological phases
• Direct Probe of Topological Order for Cold Atoms
• Double transfer through Dirac points in a tunable honeycomb optical lattice
• Disordered Weyl semimetals and their topological family
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Anomalous charge pumping in a one-dimensional optical superlattice

Cited by in corpus (39)

• Topological quantum matter with cold atoms
• Artificial gauge fields in materials and engineered systems
• Topological Quadrupolar Semimetals
• Topological nodal states in circuit lattice
• Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
• Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Ideal Weyl semimetal with 3D spin-orbit coupled ultracold quantum gas
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Collective modes in multi-Weyl semimetals
• Different lattice geometries with synthetic dimension
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Dynamics of Weyl quasiparticles emerged in an optical lattice
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Dissipation-induced topological transitions in continuous Weyl materials
• Measuring Chern numbers in Hofstadter strips
• Chern numbers and chiral anomalies in Weyl butterflies
• Different models of gravitating Dirac fermions in optical lattices
• Chiral magnetic effect in three-dimensional optical lattices
• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
• Weyl nodes as topological defects of the Wannier-Stark ladder: From surface to bulk Fermi arcs
• Topological metal bands with double-triple-point fermions in optical lattices
• Realising Type II Weyl Points in an Optical Lattice
• Tensor monopoles and negative magnetoresistance effect in optical lattices
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Topological van Hove singularities at phase transitions in Weyl metals
• Fractional quantization of charge and spin in topological quantum pumps
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Electrically tunable Kondo effect as a direct measurement of the chiral anomaly in disorder Weyl semimetals
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Simulating the Kibble-Zurek mechanism of the Ising model with a superconducting qubit system