Weyl solitons in three-dimensional optical lattices

Ce Shang, Yuanlin Zheng, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review


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 condensates. We demonstrate that this setting gives rise to topological states in the form of Weyl solitons at the surface of the underlying optical lattice. These nonlinear modes, being exceptionally robust, bifurcate from linear states for a given quasimomentum. The Weyl solitons may be used to design an efficient control scheme for topologically protected unidirectional propagation of excitations in light-matter-interaction physics. After the recently introduced Majorana and Dirac solitons, the Weyl solitons proposed in this work constitute the third (and the last) member in this family of topological solitons.

Original languageEnglish
Article number043602
JournalPhysical Review A
Issue number4
StatePublished - 3 Apr 2018


FundersFunder number
US-Israel) Science Foundation2015616
National Science Foundation
National Natural Science Foundation of China61475101
Shanghai Municipal Education Commission13ZZ022
Israel Science Foundation1286/17
Norsk Sykepleierforbund


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