Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
arXiv:2602.11935 · doi:10.1103/2x7q-48m1
Abstract
In static lattice systems, the Nielsen-Ninomiya theorem enforces the pairing of Weyl points with opposite chiralities, which precludes the chiral magnetic effect (CME) in equilibrium. Periodic driving provides a viable route to circumvent this no-go constraint. Here, we propose a scheme to realize and control unpaired Weyl points using ultracold atoms in a three-dimensional (3D) optical Raman lattice under continuous periodic driving. By engineering distinct relative symmetries between the lattice and multiple Raman potentials, the configuration generates an effective 3D spin-orbit coupling and yields a tunable topological-insulator phase. Through adiabatic periodic modulation of this system, we show that eight Weyl points emerge in the quasienergy spectrum of the low-energy sector, whose net chirality can be precisely tuned. A nonzero total chirality directly corresponds to the formation of unpaired Weyl points. Furthermore, by implementing a synthetic magnetic field via laser-assisted tunneling in this setup, we demonstrate that the chirality imbalance drives a quantized charge current in the weak-field regime, providing a direct signature of the CME. We verify that the adiabatic condition of the driving protocol, as well as the proposed experimental preparation and detection techniques, are within reach of current ultracold-atom experiments. This work establishes a realistic and controllable platform for exploring chiral-anomaly physics and nonequilibrium topological phenomena linked to Weyl fermions.
14 pages, 5 figures, to appear in PRA
References in corpus (59)
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological Field Theory of Time-Reversal Invariant Insulators
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- The Chiral Magnetic Effect
- Exceptional Topology of Non-Hermitian Systems
- Experimental discovery of Weyl semimetal TaAs
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Topological characterization of periodically-driven quantum systems
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Experimental observation of Weyl points
- Observation of Weyl nodes in TaAs
- Observation of the chiral magnetic effect in ZrTe5
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Bands for Ultracold Atoms
- Topological response in Weyl semimetals and the chiral anomaly
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- The Chiral Magnetic Effect and Anomaly-Induced Transport
- Electromagnetic Response of Weyl Semimetals
- Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
- Tools for quantum simulation with ultracold atoms in optical lattices
- Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
- Chiral anomaly and transport in Weyl metals
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Topological singularities and the general classification of Floquet-Bloch systems
- Experimental observation of optical Weyl points
- Topological quantum matter with cold atoms
- Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
- Weyl, Dirac and high-fold chiral fermions in topological quantum materials
- Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
- Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
- Observation of symmetry-protected topological band with ultracold fermions
- Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs
- High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
- Observation of nodal-line semimetal with ultracold fermions in an optical lattice
- Topological Field Theory of Non-Hermitian Systems
- Non-adiabatic breaking of topological pumping
- Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
- Direct measurement of topological invariants in optical lattices
- Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
- Observing topological charges and dynamical bulk-surface correspondence with ultracold atoms
- Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
- Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
- Tuning anomalous Floquet topological bands with ultracold atoms
- Floquet chiral magnetic effect
- Ideal Weyl semimetal with 3D spin-orbit coupled ultracold quantum gas
- Helical Floquet Channels in 1D Lattices
- Three-dimensional Chiral Lattice Fermion in Floquet Systems
- Real-space detection and manipulation of topological edge modes with ultracold atoms
- Enhanced Superexchange in a Tilted Mott Insulator
- Observation of the BKT Transition in a 2D Bose Gas via Matter-Wave Interferometry
- Lecture Notes on Berry Phases and Topology
- Chiral magnetic effect in three-dimensional optical lattices