Weyl solitons in three-dimensional optical lattices

  title={Weyl solitons in three-dimensional optical lattices},
  author={Ce Shang and Yuanlin Zheng and Boris A. Malomed},
  journal={Physical Review A},
Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear systems. Ultracold atomic gases, featuring laser-assisted tunneling in three-dimensional optical lattices, can be used for the emulation of Weyl semimetals, including nonlinear effects induced by the collisional nonlinearity of atomic Bose-Einstein… 

Figures from this paper

Hinge solitons in three-dimensional second-order topological insulators

Higher-order topological insulators have recently witnessed rapid progress in various fields ranging from condensed matter physics to electric circuits. A well-known higher-order state is the

Quantum Tunneling in the $$\alpha -T_3$$ Model with an Effective Mass Term

We investigate the quantum tunneling properties through a square potential barrier in the $$\alpha -T_3$$ model with an effective mass term. The additional mass term can be induced by the effective

Speed-of-light pulses in a massless nonlinear Dirac equation.

This work explores a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation, and shows that for the considered nonlinearity, this pulse represents an exact solution of the nonlinear equation.



Photonic Weyl degeneracies in magnetized plasma

The presence of a novel type of plasmonic Weyl points in a naturally existing medium—magnetized plasma, in which Weyl Points arise as crossings between purely longitudinal plasma modes and transverse helical propagating modes is reported.

Polaritonic solitons in a Bose-Einstein condensate trapped in a soft optical lattice.

It is shown that LFE gives rise to an envelope-deformation potential, a nonlocal potential resulting from the phase deformation, and an effective self-interaction of the condensate through the local-field effect (LFE).

Weyl Points in Three-Dimensional Optical Lattices: Synthetic Magnetic Monopoles in Momentum Space.

It is shown that a Hamiltonian with Weyl points can be realized for ultracold atoms using laser-assisted tunneling in three-dimensional optical lattices with an extension of techniques recently used in ultracolds gases.

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

It is shown that Weyl point physics emerges in a system of two-dimensional arrays of resonators undergoing dynamic modulation of refractive index, and the phase of modulation can be controlled to explore Weyl points under different symmetries.

Discovery of a Weyl fermion semimetal and topological Fermi arcs

The experimental discovery of a Weyl semimetal, tantalum arsenide (TaAs), using photoemission spectroscopy, which finds that Fermi arcs terminate on the Weyl fermion nodes, consistent with their topological character.

Experimental discovery of Weyl semimetal TaAs

In 1929, H. Weyl proposed that the massless solution of the Dirac equation represents a pair of a new type of particles, the so-called Weyl fermions. However, their existence as a fundamental

Edge Solitons in Nonlinear-Photonic Topological Insulators.

It is shown theoretically that a photonic topological insulator can support edge solitons that are strongly self-localized and propagate unidirectionally along the lattice edge, and using soliton collisions for optical switching.

Observation of the topological soliton state in the Su–Schrieffer–Heeger model

The Su–Schrieffer–Heeger model, which captures the most striking transport properties of the conductive organic polymer trans-polyacetylene, provides perhaps the most basic model system supporting topological excitations, and quantum simulation of this model and observation of the localized topological soliton state are reported on.

Modulational instability and solitary waves in polariton topological insulators

Optical microcavities supporting exciton–polariton quasi-particles offer one of the most powerful platforms for the investigation of the rapidly developing area of topological photonics in general,