Topological phases in spin-orbit coupled dipolar lattice bosons

Abstract

We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system can be described by the quantum XYZ spin model with the Dzyaloshinskii-Moriya interactions in a transverse field. We focus on investigating the effect of dipolar interactions on the topological phase. The topological phase can be shown when spin-orbit coupling incorporates with the repulsive dipolar interaction. We find that the dipolar interaction can broaden the range of parameters of spin-orbit coupling and transverse field for exhibiting the topological phase. The sum of spin correlations between the two nearest neighbouring atoms can be used to indicate the topological phase. This may be useful for detecting topological phases in experiments.

6 pages, 5 figures, revised version

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Majorana edge states in interacting one-dimensional systems
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Tunable dipolar resonances and Einstein-de Haas effect in a Rb-87 atoms condensate