Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling

TL;DR

This paper uses large-scale simulations to identify a symmetry-protected topological phase in a one-dimensional bosonic model with synthetic spin-orbit coupling, revealing its stabilization by time-reversal symmetry and its relation to the Haldane phase.

Contribution

It demonstrates the existence of a symmetry-protected topological phase in a 1D correlated bosonic system with synthetic spin-orbit coupling, confirmed by entanglement spectrum analysis.

Findings

Identification of a symmetry-protected topological phase as a Haldane phase.

Discovery of four conventional phases including Mott insulator and superfluid.

Confirmation of the topological phase's stabilization by time-reversal symmetry.

Abstract

By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the insulating regime, this model exhibits a symmetry-protected topological phase. This symmetry-protected topological phase is stabilized by time-reversal symmetry and it is identified as a Haldane phase. We confirm our conclusions further by analyzing the entanglement spectrum. In addition, we find four conventional phases: a Mott insulating phase with no long range order, a ferromagnetic superfluid phase, a ferromagnetic insulating phase and a density-wave phase.