# Symmetry-protected topological order in SU(N) Heisenberg magnets --quantum entanglement and non-local order parameters

Source: [Symmetry-protected topological order in SU(N) Heisenberg magnets --quantum entanglement and non-local order parameters](<https://www.sota2.com/research/paper/68fa322a1e209131ce8856fb>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:19:41.577Z

Authors: K.Tanimoto, K.Totsuka

Published: 2015-08-30T16:53:56.000Z

## Abstract

In this paper, we investigate topological properties of the ground state of the SU(N) Heisenberg chain, which is argued to be relevant to the Mott-insulating phase of alkaline-earth cold fermions in a one-dimensional optical lattice. By calculating the entanglement spectrum, we show that the ground state is in one of the topological phases protected by SU(N) symmetry. We then discuss an alternative characterization of it with non-local string order parameters. We also consider how the reduction of the protecting symmetry affects the topological phase paying particular attention to the entanglement spectrum.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1508.07601>)

[PDF](<https://arxiv.org/pdf/1508.07601.pdf>)