Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice

Abstract

Weyl points exist in a fascinating topological state of matter with linear band crossings analogous to magnetic monopoles. Tremendous efforts have been devoted to investigate fermionic topological matters with Weyl points in the single-particle band dispersion. It remains elusive for realizing interaction-induced Weyl points, especially for bosons. Motivated by recent experimental progress in ultracold atoms, we propose a scheme to create Weyl points for Bogoliubov excitations of a bosonic superfluid in a three-dimensional cubic optical lattice. The unique design of the lattice leads to interaction-induced time-reversal symmetry breaking for a $p$-orbital superfluid, which in turn induces Weyl Bogoliubov excitations. Analogous to Weyl semimetals of electronic systems, the superfluid also support topologically protected edge modes due to the bulk-boundary correspondence.

References in corpus (14)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Dirac materials
• Tools for quantum simulation with ultracold atoms in optical lattices
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
• Chiral magnetic effect in three-dimensional optical lattices
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
• Weyl Bogoliubov excitations in Bose-Hubbard extension of Weyl semimetal
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians

Cited by in corpus (1)

• Third-order Orbital Corner State and its Realization in Acoustic Crystals